Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates

Mishra, Vivek; Norman, M. R.

doi:10.1103/PhysRevB.92.060507

Title: Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates

Abstract

Charge order has emerged as a generic feature of doped cuprates, leading to important questions about its origin and its relation to superconductivity. Recent experiments on two classes of hole doped cuprates indicate a novel d-wave symmetry for the order. These were motivated by earlier spin fluctuation theoretical studies based on an expansion about hot spots in the Brillouin zone that indicated such an order would be competitive with d-wave superconductivity. In this work, we reexamine this problem by solving strong coupling equations in the full Brillouin zone for experimentally relevant parameters. We find that bond-oriented order, as seen experimentally, is strongly suppressed. We also include coupling to B_1g phonons and do not see any qualitative change. Our results argue against an itinerant model for the charge order, implying instead that such order is likely due to Coulombic phase separation of the doped holes.

Authors:

Mishra, Vivek ^[1]; Norman, M. R. ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: Thu Aug 27 00:00:00 EDT 2015

Research Org.:: Energy Frontier Research Centers (EFRC) (United States). Center for Emergent Superconductivity (CES)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1386234

Alternate Identifier(s):: OSTI ID: 1213270

Grant/Contract Number:: AC02-98CH10886; AC0298CH1088

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 6; Related Information: CES partners with Brookhaven National Laboratory (BNL); Argonne National Laboratory; University of Illinois, Urbana-Champaign; Los Alamos National Laboratory; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; phonons; thermal conductivity; energy storage (including batteries and capacitors); superconductivity; defects; spin dynamics

Citation Formats


                    Mishra, Vivek, and Norman, M. R. Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevB.92.060507.

Copy to clipboard


                    Mishra, Vivek, & Norman, M. R. Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates.  United States.  https://doi.org/10.1103/PhysRevB.92.060507

Copy to clipboard


                    Mishra, Vivek, and Norman, M. R. Thu .  
"Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates".  United States.  https://doi.org/10.1103/PhysRevB.92.060507.  https://www.osti.gov/servlets/purl/1386234.

Copy to clipboard


                    
@article{osti_1386234,

  title        = {Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates},

  author       = {Mishra, Vivek and Norman, M. R.},

  abstractNote = {Charge order has emerged as a generic feature of doped cuprates, leading to important questions about its origin and its relation to superconductivity. Recent experiments on two classes of hole doped cuprates indicate a novel d-wave symmetry for the order. These were motivated by earlier spin fluctuation theoretical studies based on an expansion about hot spots in the Brillouin zone that indicated such an order would be competitive with d-wave superconductivity. In this work, we reexamine this problem by solving strong coupling equations in the full Brillouin zone for experimentally relevant parameters. We find that bond-oriented order, as seen experimentally, is strongly suppressed. We also include coupling to B1g phonons and do not see any qualitative change. Our results argue against an itinerant model for the charge order, implying instead that such order is likely due to Coulombic phase separation of the doped holes.},

  doi          = {10.1103/PhysRevB.92.060507},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 6,

  volume       = 92,

  place        = {United States},

  year         = {Thu Aug 27 00:00:00 EDT 2015},

  month        = {Thu Aug 27 00:00:00 EDT 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevB.92.060507

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 19 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

X-ray scattering study of charge density waves in ${La}_{2 - x} {Ba}_{x} {CuO}_{4}$
journal, February 2008

Kim, Young-June; Gu, G. D.; Gog, T.
Physical Review B, Vol. 77, Issue 6
DOI: 10.1103/PhysRevB.77.064520

Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates
journal, December 2013

da Silva Neto, E. H.; Aynajian, P.; Frano, A.
Science, Vol. 343, Issue 6169
DOI: 10.1126/science.1243479

Density wave instabilities in a correlated two-dimensional metal
journal, October 2014

Allais, Andrea; Bauer, Johannes; Sachdev, Subir
Physical Review B, Vol. 90, Issue 15
DOI: 10.1103/PhysRevB.90.155114

Superconducting and charge-density-wave orders in the spin-fermion model: A comparative analysis
journal, May 2015

Wang, Yuxuan; Chubukov, Andrey
Physical Review B, Vol. 91, Issue 19
DOI: 10.1103/PhysRevB.91.195113

Stripe order in superconducting La $_{2 - x}$ Ba $_{x}$ CuO $_{4}$ ( $0.095 ⩽ x ⩽ 0.155$ )
journal, March 2011

Hücker, M.; v. Zimmermann, M.; Gu, G. D.
Physical Review B, Vol. 83, Issue 10
DOI: 10.1103/PhysRevB.83.104506

Spin-fluctuation-induced superconductivity in the copper oxides: A strong coupling calculation
journal, August 1992

Monthoux, P.; Pines, D.
Physical Review Letters, Vol. 69, Issue 6
DOI: 10.1103/PhysRevLett.69.961

Resonant x-ray scattering study of charge-density wave correlations in ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, August 2014

Blanco-Canosa, S.; Frano, A.; Schierle, E.
Physical Review B, Vol. 90, Issue 5
DOI: 10.1103/PhysRevB.90.054513

Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered ${YBa}_{2} {Cu}_{3} O_{6 + δ}$ Superconductors Identified by Resonant Elastic X-ray Scattering
journal, October 2012

Achkar, A. J.; Sutarto, R.; Mao, X.
Physical Review Letters, Vol. 109, Issue 16
DOI: 10.1103/PhysRevLett.109.167001

Fluctuating Cu–O–Cu bond model of high-temperature superconductivity
journal, February 2007

Newns, D. M.; Tsuei, C. C.
Nature Physics, Vol. 3, Issue 3
DOI: 10.1038/nphys542

Spin susceptibility in underdoped ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, June 2000

Fong, H. F.; Bourges, P.; Sidis, Y.
Physical Review B, Vol. 61, Issue 21
DOI: 10.1103/PhysRevB.61.14773

Coupling of the $B_{1 g}$ Phonon to the Antinodal Electronic States of ${B i}_{2} {S r}_{2} {C a}_{0.92} Y_{0.08} {C u}_{2} O_{8 + δ}$
journal, September 2004

Cuk, T.; Baumberger, F.; Lu, D. H.
Physical Review Letters, Vol. 93, Issue 11
DOI: 10.1103/PhysRevLett.93.117003

Pseudogap state near a quantum critical point
journal, June 2013

Efetov, K. B.; Meier, H.; Pépin, C.
Nature Physics, Vol. 9, Issue 7
DOI: 10.1038/nphys2641

Renormalization group study of the electron-phonon interaction in high- T _c cuprates
journal, July 2006

Fu, H. C.; Honerkamp, C.; Lee, D. -H
Europhysics Letters (EPL), Vol. 75, Issue 1
DOI: 10.1209/epl/i2006-10082-0

The dynamics of charge-density waves
journal, October 1988

Grüner, G.
Reviews of Modern Physics, Vol. 60, Issue 4
DOI: 10.1103/RevModPhys.60.1129

Bethe-Salpeter eigenvalues and amplitudes for the half-filled two-dimensional Hubbard model
journal, June 1993

Bulut, N.; Scalapino, D. J.; White, S. R.
Physical Review B, Vol. 47, Issue 21
DOI: 10.1103/PhysRevB.47.14599

Phonon anomalies and dynamic stripes
journal, November 2012

Reznik, D.
Physica C: Superconductivity, Vol. 481
DOI: 10.1016/j.physc.2012.01.024

Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+
journal, December 2013

Comin, R.; Frano, A.; Yee, M. M.
Science, Vol. 343, Issue 6169
DOI: 10.1126/science.1242996

Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates
journal, May 2007

Norman, M. R.
Physical Review B, Vol. 75, Issue 18
DOI: 10.1103/PhysRevB.75.184514

Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012

Ghiringhelli, G.; Le Tacon, M.; Minola, M.
Science, Vol. 337, Issue 6096
DOI: 10.1126/science.1223532

Symmetry of charge order in cuprates
journal, May 2015

Comin, R.; Sutarto, R.; He, F.
Nature Materials, Vol. 14, Issue 8
DOI: 10.1038/nmat4295

Intense paramagnon excitations in a large family of high-temperature superconductors
journal, July 2011

Le Tacon, M.; Ghiringhelli, G.; Chaloupka, J.
Nature Physics, Vol. 7, Issue 9
DOI: 10.1038/nphys2041

Evolution of the resonance and incommensurate spin fluctuations in superconducting ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, January 2001

Dai, Pengcheng; Mook, H. A.; Hunt, R. D.
Physical Review B, Vol. 63, Issue 5
DOI: 10.1103/PhysRevB.63.054525

Quantum phase transitions of metals in two spatial dimensions. II. Spin density wave order
journal, August 2010

Metlitski, Max A.; Sachdev, Subir
Physical Review B, Vol. 82, Issue 7
DOI: 10.1103/PhysRevB.82.075128

High-Energy Magnetic Excitations in the Cuprate Superconductor ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ : Towards a Unified Description of Its Electronic and Magnetic Degrees of Freedom
journal, April 2013

Dean, M. P. M.; James, A. J. A.; Springell, R. S.
Physical Review Letters, Vol. 110, Issue 14
DOI: 10.1103/PhysRevLett.110.147001

Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
journal, July 2014

Fujita, K.; Hamidian, M. H.; Edkins, S. D.
Proceedings of the National Academy of Sciences, Vol. 111, Issue 30
DOI: 10.1073/pnas.1406297111

Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy
journal, September 2011

Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
Nature, Vol. 477, Issue 7363
DOI: 10.1038/nature10345

Bond Order in Two-Dimensional Metals with Antiferromagnetic Exchange Interactions
journal, July 2013

Sachdev, Subir; La Placa, Rolando
Physical Review Letters, Vol. 111, Issue 2
DOI: 10.1103/PhysRevLett.111.027202

Real-space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
journal, August 2015

Bauer, Johannes; Sachdev, Subir
Physical Review B, Vol. 92, Issue 8
DOI: 10.1103/PhysRevB.92.085134

Instabilities near the onset of spin density wave order in metals
journal, October 2010

Metlitski, Max A.; Sachdev, Subir
New Journal of Physics, Vol. 12, Issue 10
DOI: 10.1088/1367-2630/12/10/105007

Effect of the pseudogap on the transition temperature in the cuprates and implications for its origin
journal, March 2014

Mishra, Vivek; Chatterjee, U.; Campuzano, J. C.
Nature Physics, Vol. 10, Issue 5
DOI: 10.1038/nphys2926

Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation
journal, November 2013

Le Tacon, M.; Bosak, A.; Souliou, S. M.
Nature Physics, Vol. 10, Issue 1
DOI: 10.1038/nphys2805

Charge-density-wave order with momentum $(2 Q, 0)$ and $(0, 2 Q)$ within the spin-fermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
journal, July 2014

Wang, Yuxuan; Chubukov, Andrey
Physical Review B, Vol. 90, Issue 3
DOI: 10.1103/PhysRevB.90.035149

Phenomenological model of nuclear relaxation in the normal state of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$
journal, July 1990

Millis, A. J.; Monien, Hartmut; Pines, David
Physical Review B, Vol. 42, Issue 1
DOI: 10.1103/PhysRevB.42.167

Towards resolution of the Fermi surface in underdoped high- T _c superconductors
journal, September 2012

Sebastian, Suchitra E.; Harrison, Neil; Lonzarich, Gilbert G.
Reports on Progress in Physics, Vol. 75, Issue 10
DOI: 10.1088/0034-4885/75/10/102501

Mean-field theory of competing orders in metals with antiferromagnetic exchange interactions
journal, February 2014

Sau, Jay D.; Sachdev, Subir
Physical Review B, Vol. 89, Issue 7
DOI: 10.1103/PhysRevB.89.075129

Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67
journal, October 2012

Chang, J.; Blackburn, E.; Holmes, A. T.
Nature Physics, Vol. 8, Issue 12
DOI: 10.1038/nphys2456

Charge order and its connection with Fermi-liquid charge transport in a pristine high-Tc cuprate
journal, December 2014

Tabis, W.; Li, Y.; Tacon, M. Le
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms6875

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012

Scalapino, D. J.
Reviews of Modern Physics, Vol. 84, Issue 4
DOI: 10.1103/RevModPhys.84.1383

Density Matrix Renormalization Group Study of the Striped Phase in the 2D $t - J$ Model
journal, February 1998

White, Steven R.; Scalapino, D. J.
Physical Review Letters, Vol. 80, Issue 6
DOI: 10.1103/PhysRevLett.80.1272

Extended Phonon Collapse and the Origin of the Charge-Density Wave in $2 H − {NbSe}_{2}$
journal, September 2011

Weber, F.; Rosenkranz, S.; Castellan, J. -P.
Physical Review Letters, Vol. 107, Issue 10
DOI: 10.1103/PhysRevLett.107.107403

Evidence for stripe correlations of spins and holes in copper oxide superconductors
journal, June 1995

Tranquada, J. M.; Sternlieb, B. J.; Axe, J. D.
Nature, Vol. 375, Issue 6532
DOI: 10.1038/375561a0

Works referencing / citing this record:

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state
journal, October 2015

Hamidian, M. H.; Edkins, S. D.; Kim, Chung Koo
Nature Physics, Vol. 12, Issue 2
DOI: 10.1038/nphys3519

Incommensurate charge ordered states in the t – t ′– J model
journal, January 2017

Choubey, Peayush; Tu, Wei-Lin; Lee, Ting-Kuo
New Journal of Physics, Vol. 19, Issue 1
DOI: 10.1088/1367-2630/19/1/013028

Origin of diverse nematic orders in Fe-based superconductors: $45^{\circ}$ rotated nematicity in $A {Fe}_{2} {As}_{2} (A = Cs, Rb)$
journal, July 2019

Onari, Seiichiro; Kontani, Hiroshi
Physical Review B, Vol. 100, Issue 2
DOI: 10.1103/physrevb.100.020507

Similar Records in DOE PAGES and OSTI.GOV collections:

Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates

Journal Article Mishra, Vivek ; Norman, M. R. - Physical Review. B, Condensed Matter and Materials Physics

Charge order has emerged as a generic feature of doped cuprates, leading to important questions about its origin and its relation to superconductivity. Recent experiments on two classes of hole doped cuprates indicate a novel d-wave symmetry for the order. These were motivated by earlier spin fluctuation theoretical studies based on an expansion about hot spots in the Brillouin zone that indicated such order would be competitive with d-wave superconductivity. Here, we reexamine this problem by solving strong coupling equations in the full Brillouin zone. Our results find that bond-oriented order, as seen experimentally, is strongly suppressed, indicating that themore »« less
https://doi.org/10.1103/PhysRevB.92.060507
Angle-Resolved Photoemission Spectroscopy on Electronic Structure and Electron-Phonon Coupling in Cuprate Superconductors

Journal Article Zhou, X J - Submitted to Book Chapter in Handbook of High-Temperature Superconductivity: Theory and Experiment (2007)

In addition to the record high superconducting transition temperature (T{sub c}), high temperature cuprate superconductors are characterized by their unusual superconducting properties below T{sub c}, and anomalous normal state properties above T{sub c}. In the superconducting state, although it has long been realized that superconductivity still involves Cooper pairs, as in the traditional BCS theory, the experimentally determined d-wave pairing is different from the usual s-wave pairing found in conventional superconductors. The identification of the pairing mechanism in cuprate superconductors remains an outstanding issue. The normal state properties, particularly in the underdoped region, have been found to be at oddmore »« less
Full Text Available
Spin and charge pseudogaps following Kondo effect in the normal state of the underdoped cuprates

Journal Article Mojumder, M A - International Journal of Modern Physics B

A study of experimental results on various parameters of underdoped cuprates in the normal state combined with analytic calculation of Hall parameters assuming a two-channel Kondo model for the system leads to the conclusion that the spin and charge pseudogaps are, respectively, a Kondo hybridization gap and an incipient d-wave superconducting gap. The former occurs due to resonant scattering of doped holes by the magnetic Cu{sup 2+} ions while the latter occurs due to incoherent Cooper pairing of Kondo-compensated quasi-itinerant Cu d-orbitals via exchange of spin excitations. The author comments on the essential similarity of the high-T{sub c} and heavymore »« less
https://doi.org/10.1142/S0217979299002964
Phonon spectrum of underdoped HgBa₂CuO_4+δ investigated by neutron scattering

Journal Article Ahmadova, I. ; Sterling, T. C. ; Sokolik, A. C. ; ... - Physical Review B

The cuprates exhibit a prominent charge-density-wave (CDW) instability with a wave vector along [100], i.e., the Cu-O bond direction. Whereas CDW order is most prominent at moderate doping and low temperature, there exists increasing evidence for dynamic charge correlations throughout a large portion of the temperature-doping phase diagram. In particular, the signatures of incipient charge order have been observed as phonon softening and/or broadening near the CDW wave vector approximately halfway through the Brillouin zone. Most of this work is focused on moderately doped cuprates, for which the CDW order is robust, or on optimally doped samples, for which themore »« less
Cited by 6
https://doi.org/10.1103/physrevb.101.184508

Full Text Available
Anomalous vortex liquid in charge-ordered cuprate superconductors

Journal Article Hsu, Yu-Te ; Berben, Maarten ; Čulo, Matija ; ... - Proceedings of the National Academy of Sciences of the United States of America

The interplay between charge order and d-wave superconductivity in high-T_c cuprates remains an open question. While mounting evidence from spectroscopic probes indicates that charge order competes with superconductivity, to date little is known about the impact of charge order on charge transport in the mixed state, when vortices are present. Here we study the low-temperature electrical resistivity of three distinctly different cuprate families under intense magnetic fields, over a broad range of hole doping and current excitations. We find that the electronic transport in the doping regime where long-range charge order is known to be present is characterized by amore »« less
https://doi.org/10.1073/pnas.2016275118

Full Text Available

Similar Records

Title: Strong coupling critique of spin fluctuation driven charge order in underdoped cuprates

Abstract

Citation Formats

X-ray scattering study of charge density waves in La 2 − x Ba x CuO 4 journal, February 2008

Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates journal, December 2013

Density wave instabilities in a correlated two-dimensional metal journal, October 2014

Superconducting and charge-density-wave orders in the spin-fermion model: A comparative analysis journal, May 2015

Stripe order in superconducting La 2 − x Ba x CuO 4 ( 0 . 095 ⩽ x ⩽ 0 . 155 ) journal, March 2011

Spin-fluctuation-induced superconductivity in the copper oxides: A strong coupling calculation journal, August 1992

Resonant x-ray scattering study of charge-density wave correlations in YBa 2 Cu 3 O 6 + x journal, August 2014

Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa 2 Cu 3 O 6 + δ Superconductors Identified by Resonant Elastic X-ray Scattering journal, October 2012

Fluctuating Cu–O–Cu bond model of high-temperature superconductivity journal, February 2007

Spin susceptibility in underdoped YBa 2 Cu 3 O 6 + x journal, June 2000

Coupling of the B 1 g Phonon to the Antinodal Electronic States of B i 2 S r 2 C a 0.92 Y 0.08 C u 2 O 8 + δ journal, September 2004

Pseudogap state near a quantum critical point journal, June 2013

Renormalization group study of the electron-phonon interaction in high- T c cuprates journal, July 2006

The dynamics of charge-density waves journal, October 1988

Bethe-Salpeter eigenvalues and amplitudes for the half-filled two-dimensional Hubbard model journal, June 1993

Phonon anomalies and dynamic stripes journal, November 2012

Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+ journal, December 2013

Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates journal, May 2007

Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x journal, July 2012

Symmetry of charge order in cuprates journal, May 2015

Intense paramagnon excitations in a large family of high-temperature superconductors journal, July 2011

Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa 2 Cu 3 O 6 + x journal, January 2001

Quantum phase transitions of metals in two spatial dimensions. II. Spin density wave order journal, August 2010

High-Energy Magnetic Excitations in the Cuprate Superconductor Bi 2 Sr 2 CaCu 2 O 8 + δ : Towards a Unified Description of Its Electronic and Magnetic Degrees of Freedom journal, April 2013

Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates journal, July 2014

Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy journal, September 2011

Bond Order in Two-Dimensional Metals with Antiferromagnetic Exchange Interactions journal, July 2013

Real-space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations journal, August 2015

Instabilities near the onset of spin density wave order in metals journal, October 2010

Effect of the pseudogap on the transition temperature in the cuprates and implications for its origin journal, March 2014

Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation journal, November 2013

Charge-density-wave order with momentum ( 2 Q , 0 ) and ( 0 , 2 Q ) within the spin-fermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates journal, July 2014

Phenomenological model of nuclear relaxation in the normal state of YBa 2 Cu 3 O 7 journal, July 1990

Towards resolution of the Fermi surface in underdoped high- T c superconductors journal, September 2012

Mean-field theory of competing orders in metals with antiferromagnetic exchange interactions journal, February 2014

Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 journal, October 2012

Charge order and its connection with Fermi-liquid charge transport in a pristine high-Tc cuprate journal, December 2014

A common thread: The pairing interaction for unconventional superconductors journal, October 2012

Density Matrix Renormalization Group Study of the Striped Phase in the 2D t − J Model journal, February 1998

Extended Phonon Collapse and the Origin of the Charge-Density Wave in 2 H − NbSe 2 journal, September 2011

Evidence for stripe correlations of spins and holes in copper oxide superconductors journal, June 1995

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state journal, October 2015

Incommensurate charge ordered states in the t – t ′– J model journal, January 2017

Origin of diverse nematic orders in Fe-based superconductors: 45 ∘ rotated nematicity in A Fe 2 As 2 ( A = Cs , Rb ) journal, July 2019

X-ray scattering study of charge density waves in ${La}_{2 - x} {Ba}_{x} {CuO}_{4}$
journal, February 2008

Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates
journal, December 2013

Density wave instabilities in a correlated two-dimensional metal
journal, October 2014

Superconducting and charge-density-wave orders in the spin-fermion model: A comparative analysis
journal, May 2015

Stripe order in superconducting La $_{2 - x}$ Ba $_{x}$ CuO $_{4}$ ( $0.095 ⩽ x ⩽ 0.155$ )
journal, March 2011

Spin-fluctuation-induced superconductivity in the copper oxides: A strong coupling calculation
journal, August 1992

Resonant x-ray scattering study of charge-density wave correlations in ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, August 2014

Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered ${YBa}_{2} {Cu}_{3} O_{6 + δ}$ Superconductors Identified by Resonant Elastic X-ray Scattering
journal, October 2012

Fluctuating Cu–O–Cu bond model of high-temperature superconductivity
journal, February 2007

Spin susceptibility in underdoped ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, June 2000

Coupling of the $B_{1 g}$ Phonon to the Antinodal Electronic States of ${B i}_{2} {S r}_{2} {C a}_{0.92} Y_{0.08} {C u}_{2} O_{8 + δ}$
journal, September 2004

Pseudogap state near a quantum critical point
journal, June 2013

Renormalization group study of the electron-phonon interaction in high- T _c cuprates
journal, July 2006

The dynamics of charge-density waves
journal, October 1988

Bethe-Salpeter eigenvalues and amplitudes for the half-filled two-dimensional Hubbard model
journal, June 1993

Phonon anomalies and dynamic stripes
journal, November 2012

Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+
journal, December 2013

Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates
journal, May 2007

Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012

Symmetry of charge order in cuprates
journal, May 2015

Intense paramagnon excitations in a large family of high-temperature superconductors
journal, July 2011

Evolution of the resonance and incommensurate spin fluctuations in superconducting ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, January 2001

Quantum phase transitions of metals in two spatial dimensions. II. Spin density wave order
journal, August 2010

High-Energy Magnetic Excitations in the Cuprate Superconductor ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ : Towards a Unified Description of Its Electronic and Magnetic Degrees of Freedom
journal, April 2013

Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
journal, July 2014

Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy
journal, September 2011

Bond Order in Two-Dimensional Metals with Antiferromagnetic Exchange Interactions
journal, July 2013

Real-space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
journal, August 2015

Instabilities near the onset of spin density wave order in metals
journal, October 2010

Effect of the pseudogap on the transition temperature in the cuprates and implications for its origin
journal, March 2014

Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation
journal, November 2013

Charge-density-wave order with momentum $(2 Q, 0)$ and $(0, 2 Q)$ within the spin-fermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
journal, July 2014

Phenomenological model of nuclear relaxation in the normal state of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$
journal, July 1990

Towards resolution of the Fermi surface in underdoped high- T _c superconductors
journal, September 2012

Mean-field theory of competing orders in metals with antiferromagnetic exchange interactions
journal, February 2014

Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67
journal, October 2012

Charge order and its connection with Fermi-liquid charge transport in a pristine high-Tc cuprate
journal, December 2014

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012

Density Matrix Renormalization Group Study of the Striped Phase in the 2D $t - J$ Model
journal, February 1998

Extended Phonon Collapse and the Origin of the Charge-Density Wave in $2 H − {NbSe}_{2}$
journal, September 2011

Evidence for stripe correlations of spins and holes in copper oxide superconductors
journal, June 1995

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state
journal, October 2015

Incommensurate charge ordered states in the t – t ′– J model
journal, January 2017

Origin of diverse nematic orders in Fe-based superconductors: $45^{\circ}$ rotated nematicity in $A {Fe}_{2} {As}_{2} (A = Cs, Rb)$
journal, July 2019