Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point
Abstract
Here, we investigate the interplay between charge order and superconductivity near an antiferromagnetic quantum critical point using signproblemfree Quantum Monte Carlo simulations. We establish that, when the electronic dispersion is particlehole symmetric, the system has an emergent SU(2) symmetry that implies a degeneracy between dwave superconductivity and charge order with dwave form factor. Deviations from particlehole symmetry, however, rapidly lift this degeneracy, despite the fact that the SU(2) symmetry is preserved at low energies. As a result, we find a strong suppression of charge order caused by the competing, leading superconducting instability. Across the antiferromagnetic phase transition, we also observe a shift in the charge order wave vector from diagonal to axial. We discuss the implications of our results to the universal phase diagram of antiferromagnetic quantumcritical metals and to the elucidation of the charge order experimentally observed in the cuprates.
 Authors:

 Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy; Univ. of Chicago, IL (United States). Dept. of Physics
 Univ. of Illinois at UrbanaChampaign, IL (United States). Inst. for Condensed Matter Theory and Dept. of Physics
 Weizmann Inst. of Science, Rehovot (Israel); Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
 Univ. of Chicago, IL (United States). Dept. of Physics
 Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22). Materials Sciences & Engineering Division; Research Corp. for Science Advancement (RCSA), Tuscon, AZ (United States); Gordon and Betty Moore Foundation
 OSTI Identifier:
 1460676
 Alternate Identifier(s):
 OSTI ID: 1454366
 Grant/Contract Number:
 SC0012336; GBMF4305; AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 120; Journal Issue: 24; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; antiferromagnetism; charge density waves; quantum phase transitions; superconducting order parameter; superconductivity; cuprates; hightemperature superconductors; methods in superconductivity; quantum Monte Carlo
Citation Formats
Wang, Xiaoyu, Wang, Yuxuan, Schattner, Yoni, Berg, Erez, and Fernandes, Rafael M. Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point. United States: N. p., 2018.
Web. doi:10.1103/physrevlett.120.247002.
Wang, Xiaoyu, Wang, Yuxuan, Schattner, Yoni, Berg, Erez, & Fernandes, Rafael M. Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point. United States. doi:10.1103/physrevlett.120.247002.
Wang, Xiaoyu, Wang, Yuxuan, Schattner, Yoni, Berg, Erez, and Fernandes, Rafael M. Fri .
"Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point". United States. doi:10.1103/physrevlett.120.247002. https://www.osti.gov/servlets/purl/1460676.
@article{osti_1460676,
title = {Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point},
author = {Wang, Xiaoyu and Wang, Yuxuan and Schattner, Yoni and Berg, Erez and Fernandes, Rafael M.},
abstractNote = {Here, we investigate the interplay between charge order and superconductivity near an antiferromagnetic quantum critical point using signproblemfree Quantum Monte Carlo simulations. We establish that, when the electronic dispersion is particlehole symmetric, the system has an emergent SU(2) symmetry that implies a degeneracy between dwave superconductivity and charge order with dwave form factor. Deviations from particlehole symmetry, however, rapidly lift this degeneracy, despite the fact that the SU(2) symmetry is preserved at low energies. As a result, we find a strong suppression of charge order caused by the competing, leading superconducting instability. Across the antiferromagnetic phase transition, we also observe a shift in the charge order wave vector from diagonal to axial. We discuss the implications of our results to the universal phase diagram of antiferromagnetic quantumcritical metals and to the elucidation of the charge order experimentally observed in the cuprates.},
doi = {10.1103/physrevlett.120.247002},
journal = {Physical Review Letters},
number = 24,
volume = 120,
place = {United States},
year = {2018},
month = {6}
}
Web of Science
Works referenced in this record:
Feedback of superconducting fluctuations on charge order in the underdoped cuprates
journal, October 2014
 Chowdhury, Debanjan; Sachdev, Subir
 Physical Review B, Vol. 90, Issue 13
Density wave instabilities in a correlated twodimensional metal
journal, October 2014
 Allais, Andrea; Bauer, Johannes; Sachdev, Subir
 Physical Review B, Vol. 90, Issue 15
Ubiquitous Interplay Between Charge Ordering and HighTemperature Superconductivity in Cuprates
journal, December 2013
 da Silva Neto, E. H.; Aynajian, P.; Frano, A.
 Science, Vol. 343, Issue 6169
SignProblemFree Quantum Monte Carlo of the Onset of Antiferromagnetism in Metals
journal, December 2012
 Berg, E.; Metlitski, M. A.; Sachdev, S.
 Science, Vol. 338, Issue 6114
Cascade of phase transitions in the vicinity of a quantum critical point
journal, May 2014
 Meier, H.; Pépin, C.; Einenkel, M.
 Physical Review B, Vol. 89, Issue 19
Quantum critical properties of a metallic spindensitywave transition
journal, January 2017
 Gerlach, Max H.; Schattner, Yoni; Berg, Erez
 Physical Review B, Vol. 95, Issue 3
Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015
 Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M.
 Reviews of Modern Physics, Vol. 87, Issue 2
XRay Diffraction Observations of a ChargeDensityWave Order in Superconducting OrthoII ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathbf{O}}_{6.54}$ Single Crystals in Zero Magnetic Field
journal, March 2013
 Blackburn, E.; Chang, J.; Hücker, M.
 Physical Review Letters, Vol. 110, Issue 13
Competing Unconventional ChargeDensityWave States in Cuprate Superconductors: SpinFluctuationDriven Mechanism
journal, June 2017
 Kawaguchi, Kouki; Yamakawa, Youichi; Tsuchiizu, Masahisa
 Journal of the Physical Society of Japan, Vol. 86, Issue 6
Distinct Charge Orders in the Planes and Chains of OrthoIIIOrdered ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathbf{O}}_{6\mathbf{+}\delta}$ Superconductors Identified by Resonant Elastic Xray Scattering
journal, October 2012
 Achkar, A. J.; Sutarto, R.; Mao, X.
 Physical Review Letters, Vol. 109, Issue 16
Twodimensional negative U Hubbard model
journal, February 1991
 Moreo, A.; Scalapino, D. J.
 Physical Review Letters, Vol. 66, Issue 7
Hall, Seebeck, and Nernst Coefficients of Underdoped ${\mathrm{HgBa}}_{2}{\mathrm{CuO}}_{4+\delta}$ : FermiSurface Reconstruction in an Archetypal Cuprate Superconductor
journal, June 2013
 DoironLeyraud, Nicolas; Lepault, S.; CyrChoinière, O.
 Physical Review X, Vol. 3, Issue 2
Structure of the charge density wave in cuprate superconductors: Lessons from NMR
journal, March 2018
 Atkinson, W. A.; Ufkes, S.; Kampf, A. P.
 Physical Review B, Vol. 97, Issue 12
Thermodynamic phase diagram of static charge order in underdoped YBa2Cu3Oy
journal, December 2012
 LeBoeuf, David; Krämer, S.; Hardy, W. N.
 Nature Physics, Vol. 9, Issue 2
Ideal chargedensitywave order in the highfield state of superconducting YBCO
journal, December 2016
 Jang, H.; Lee, W. S.; Nojiri, H.
 Proceedings of the National Academy of Sciences, Vol. 113, Issue 51
Spatially modulated electronic nematicity in the threeband model of cuprate superconductors
journal, October 2013
 Bulut, S.; Atkinson, W. A.; Kampf, A. P.
 Physical Review B, Vol. 88, Issue 15
Pseudogap state near a quantum critical point
journal, June 2013
 Efetov, K. B.; Meier, H.; Pépin, C.
 Nature Physics, Vol. 9, Issue 7
Dynamical charge density waves rule the phase diagram of cuprates
journal, June 2017
 Caprara, S.; Di Castro, C.; Seibold, G.
 Physical Review B, Vol. 95, Issue 22
Charge order in the pseudogap phase of cuprate superconductors
journal, January 2015
 Atkinson, W. A.; Kampf, A. P.; Bulut, S.
 New Journal of Physics, Vol. 17, Issue 1
Charge Order Driven by FermiArc Instability in Bi2Sr2xLaxCuO6+
journal, December 2013
 Comin, R.; Frano, A.; Yee, M. M.
 Science, Vol. 343, Issue 6169
LongRange Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012
 Ghiringhelli, G.; Le Tacon, M.; Minola, M.
 Science, Vol. 337, Issue 6096
Angular Fluctuations of a Multicomponent Order Describe the Pseudogap of YBa2Cu3O6+x
journal, March 2014
 Hayward, L. E.; Hawthorn, D. G.; Melko, R. G.
 Science, Vol. 343, Issue 6177
Densitywave instabilities of fractionalized Fermi liquids
journal, December 2014
 Chowdhury, Debanjan; Sachdev, Subir
 Physical Review B, Vol. 90, Issue 24
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
Multistage electronic nematic transitions in cuprate superconductors: A functionalrenormalizationgroup analysis
journal, April 2018
 Tsuchiizu, Masahisa; Kawaguchi, Kouki; Yamakawa, Youichi
 Physical Review B, Vol. 97, Issue 16
Magneticfieldinduced chargestripe order in the hightemperature superconductor YBa2Cu3Oy
journal, September 2011
 Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
 Nature, Vol. 477, Issue 7363
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x
journal, May 2016
 Chang, J.; Blackburn, E.; Ivashko, O.
 Nature Communications, Vol. 7, Issue 1
Bond Order in TwoDimensional Metals with Antiferromagnetic Exchange Interactions
journal, July 2013
 Sachdev, Subir; La Placa, Rolando
 Physical Review Letters, Vol. 111, Issue 2
Competing Orders in a Nearly Antiferromagnetic Metal
journal, August 2016
 Schattner, Yoni; Gerlach, Max H.; Trebst, Simon
 Physical Review Letters, Vol. 117, Issue 9
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
Chargedensitywave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spinfermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in holedoped cuprates
journal, July 2014
 Wang, Yuxuan; Chubukov, Andrey
 Physical Review B, Vol. 90, Issue 3
Quantumcritical theory of the spinfermion model and its application to cuprates: Normal state analysis
journal, March 2003
 Abanov, Ar.; Chubukov, Andrey V.; Schmalian, J.
 Advances in Physics, Vol. 52, Issue 3
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
Simultaneous Transitions in Cuprate MomentumSpace Topology and Electronic Symmetry Breaking
journal, May 2014
 Fujita, K.; Kim, C. K.; Lee, I.
 Science, Vol. 344, Issue 6184
Commensurate 4 a _{0} period charge density modulations throughout the Bi _{2} Sr _{2} CaCu _{2} O _{8+x} pseudogap regime
journal, October 2016
 Mesaros, Andrej; Fujita, Kazuhiro; Edkins, Stephen D.
 Proceedings of the National Academy of Sciences, Vol. 113, Issue 45
Nature of the effective interaction in electrondoped cuprate superconductors: A signproblemfree quantum Monte Carlo study
journal, June 2017
 Li, ZiXiang; Wang, Fa; Yao, Hong
 Physical Review B, Vol. 95, Issue 21
Superconductivity mediated by quantum critical antiferromagnetic fluctuations: The rise and fall of hot spots
journal, May 2017
 Wang, Xiaoyu; Schattner, Yoni; Berg, Erez
 Physical Review B, Vol. 95, Issue 17
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
 Scalapino, D. J.
 Reviews of Modern Physics, Vol. 84, Issue 4
Interplay between pair and chargedensitywave orders in underdoped cuprates
journal, March 2015
 Wang, Yuxuan; Agterberg, Daniel F.; Chubukov, Andrey
 Physical Review B, Vol. 91, Issue 11
Works referencing / citing this record:
Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: A Monte Carlo study
journal, April 2020
 Bauer, Carsten; Schattner, Yoni; Trebst, Simon
 Physical Review Research, Vol. 2, Issue 2
Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
journal, January 2019
 Kang, Mingu; Pelliciari, Jonathan; Frano, Alex
 Nature Physics, Vol. 15, Issue 4
Intimate link between charge density wave, pseudogap and superconducting energy scales in cuprates
journal, April 2019
 Loret, B.; Auvray, N.; Gallais, Y.
 Nature Physics, Vol. 15, Issue 8
Adiabatic variation of the charge density wave phase diagram in the 123 cuprate $({\mathrm{Ca}}_{x}{\mathrm{La}}_{1x})\left({\mathrm{Ba}}_{1.75x}{\mathrm{La}}_{0.25+x}\right){\mathrm{Cu}}_{3}{\mathrm{O}}_{y}$
journal, July 2019
 Bluschke, M.; Yaari, M.; Schierle, E.
 Physical Review B, Vol. 100, Issue 3
Electronic and phononic properties of a twodimensional electron gas coupled to dipolar phonons via smallmomentumtransfer scattering
journal, December 2019
 Li, ZiXiang; Devereaux, T. P.; Lee, DungHai
 Physical Review B, Vol. 100, Issue 24
Crossover from charge density wave stabilized antiferromagnetism to superconductivity in ${\mathrm{Nd}}_{1x}{\mathrm{La}}_{x}{\mathrm{NiC}}_{2}$ compounds
journal, June 2019
 Roman, Marta; Litzbarski, Leszek; Klimczuk, Tomasz
 Physical Review B, Vol. 99, Issue 24