Exploring intertwined orders in cuprate superconductors

Tranquada, John M.

doi:10.1016/j.physb.2014.11.056

Title: Exploring intertwined orders in cuprate superconductors

Journal Article · Sat Nov 22 00:00:00 EST 2014 · Physica. B, Condensed Matter

DOI:https://doi.org/10.1016/j.physb.2014.11.056· OSTI ID:1182475

Tranquada, John M. ^[1]

Brookhaven National Laboratory (BNL), Upton, NY (United States)

In this study, the concept of intertwined orders has been introduced to describe the cooperative relationship between antiferromagnetic spin correlations and electron (or hole) pair correlations that develop in copper-oxide superconductors. This contrasts with systems in which, for example, charge-density-wave (CDW) order competes for Fermi surface area with superconductivity. La_2-xBa_xCuO₄ with x = 0.125 provides an example in which the ordering of spin stripes coincides with the onset of two-dimensional superconducting correlations. The apparent frustration of the interlayer Josephson coupling has motivated the concept of the pair-density-wave superconductor, a state that theoretical calculations show to be energetically competitive with the uniform d-wave superconductor. Even at x = 0.095, where there is robust superconductivity below 32 K in zero field, the coexistence of strong, low-energy, incommensurate spin excitations implies a spatially modulated and intertwined pair wave function. Recent observations of CDW order in YBa₂Cu₃O_6+x and other cuprate families have raised interesting questions regarding the general role of charge modulations and the relation to superconductivity. While there are differences in the doping dependence of the modulation wave vectors in YBa₂Cu₃O_6+x and La_2-xBa_xCuO₄, the maximum ordering strength is peaked at the hole concentration of 1/8 in both cases. There are also possible connections with the quantum oscillations that have been detected about the same hole concentration but at high magnetic fields. Resolving these relationships remains a research challenge.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

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

Grant/Contract Number:: AC02-98CH10886; NSF PHY11-25915

OSTI ID:: 1182475

Alternate ID(s):: OSTI ID: 1318768

Report Number(s):: BNL-107215-2014-JA; BNL-107215-2014-JAAM; R&D Project: PO010; KC0201060

Journal Information:: Physica. B, Condensed Matter, Vol. 460, Issue C; ISSN 0921-4526

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (98)

Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates da Silva Neto, E. H.; Aynajian, P.; Frano, A. Science, Vol. 343, Issue 6169 https://doi.org/10.1126/science.1243479	journal	December 2013
Two-Dimensional Superconducting Fluctuations in Stripe-Ordered ${La}_{1.875} {Ba}_{0.125} {CuO}_{4}$ Li, Q.; Hücker, M.; Gu, G. D. Physical Review Letters, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevLett.99.067001	journal	August 2007
Charged magnetic domain lines and the magnetism of high- $T_{c}$ oxides Zaanen, Jan; Gunnarsson, Olle Physical Review B, Vol. 40, Issue 10 https://doi.org/10.1103/PhysRevB.40.7391	journal	October 1989
Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. New Journal of Physics, Vol. 11, Issue 11 https://doi.org/10.1088/1367-2630/11/11/115004	journal	November 2009
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II ${YBa}_{2} {Cu}_{3} O_{6.54}$ Single Crystals in Zero Magnetic Field Blackburn, E.; Chang, J.; Hücker, M. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.137004	journal	March 2013
Competing charge, spin, and superconducting orders in underdoped ${YBa}_{2} {Cu}_{3} O_{y}$ Hücker, M.; Christensen, N. B.; Holmes, A. T. Physical Review B, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevB.90.054514	journal	August 2014
Charged solitons in the Hartree-Fock approximation to the large- U Hubbard model Poilblanc, D.; Rice, T. M. Physical Review B, Vol. 39, Issue 13 https://doi.org/10.1103/PhysRevB.39.9749	journal	May 1989
Resonant x-ray scattering study of charge-density wave correlations in ${YBa}_{2} {Cu}_{3} O_{6 + x}$ Blanco-Canosa, S.; Frano, A.; Schierle, E. Physical Review B, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevB.90.054513	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 Achkar, A. J.; Sutarto, R.; Mao, X. Physical Review Letters, Vol. 109, Issue 16 https://doi.org/10.1103/PhysRevLett.109.167001	journal	October 2012
Fermi-surface reconstruction in a smectic phase of a high-temperature superconductor Yao, Hong; Lee, Dung-Hai; Kivelson, Steven Physical Review B, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevB.84.012507	journal	July 2011
Interplay of Externally Doped and Thermally Activated Holes in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ and Their Impact on the Pseudogap Crossover Gor’kov, Lev P.; Teitel’baum, Gregory B. Physical Review Letters, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevLett.97.247003	journal	December 2006
Thermodynamic phase diagram of static charge order in underdoped YBa2Cu3Oy LeBoeuf, David; Krämer, S.; Hardy, W. N. Nature Physics, Vol. 9, Issue 2 https://doi.org/10.1038/nphys2502	journal	December 2012
Emergence of charge order from the vortex state of a high-temperature superconductor Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3113	journal	July 2013
A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor Sebastian, Suchitra E.; Harrison, N.; Palm, E. Nature, Vol. 454, Issue 7201 https://doi.org/10.1038/nature07095	journal	July 2008
A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+delta Hoffman, J. E. Science, Vol. 295, Issue 5554 https://doi.org/10.1126/science.1066974	journal	January 2002
Spin-gap proximity effect mechanism of high-temperature superconductivity Emery, V. J.; Kivelson, S. A.; Zachar, O. Physical Review B, Vol. 56, Issue 10 https://doi.org/10.1103/PhysRevB.56.6120	journal	September 1997
Incommensurate antiferromagnetism in the two-dimensional Hubbard model Schulz, H. J. Physical Review Letters, Vol. 64, Issue 12 https://doi.org/10.1103/PhysRevLett.64.1445	journal	March 1990
Hard–X-ray diffraction study of charge stripe order in La _1.48 Nd _0.4 Sr _0.12 CuO ₄ Zimmermann, M. v.; Vigliante, A.; Niemöller, T. Europhysics Letters (EPL), Vol. 41, Issue 6 https://doi.org/10.1209/epl/i1998-00204-2	journal	March 1998
Evolution of superconducting correlations within magnetic-field-decoupled La $_{2 - x}$ Ba $_{x}$ CuO $_{4}$ ( $x = 0.095$ ) Stegen, Z.; Han, Su Jung; Wu, Jie Physical Review B, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevB.87.064509	journal	February 2013
Fluctuating stripes at the onset of the pseudogap in the high-Tc superconductor Bi2Sr2CaCu2O8+x Parker, Colin V.; Aynajian, Pegor; da Silva Neto, Eduardo H. Nature, Vol. 468, Issue 7324 https://doi.org/10.1038/nature09597	journal	December 2010
Stripes in the two-dimensional $t$ - $J$ model with infinite projected entangled-pair states Corboz, Philippe; White, Steven R.; Vidal, Guifré Physical Review B, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevB.84.041108	journal	July 2011
Dynamical Layer Decoupling in a Stripe-Ordered High- $T_{c}$ Superconductor Berg, E.; Fradkin, E.; Kim, E. -A. Physical Review Letters, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevLett.99.127003	journal	September 2007
Mid-infrared conductivity from mid-gap states associated with charge stripes Homes, C. C.; Tranquada, J. M.; Li, Q. Physical Review B, Vol. 67, Issue 18 https://doi.org/10.1103/PhysRevB.67.184516	journal	May 2003
The effect of collective spin-1 excitations on electronic spectra in high- *T _c* superconductors Eschrig, Matthias Advances in Physics, Vol. 55, Issue 1-2 https://doi.org/10.1080/00018730600645636	journal	January 2006
Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor Doiron-Leyraud, Nicolas; Proust, Cyril; LeBoeuf, David Nature, Vol. 447, Issue 7144 https://doi.org/10.1038/nature05872	journal	May 2007
Direct measurement of the upper critical field in cuprate superconductors Grissonnanche, G.; Cyr-Choinière, O.; Laliberté, F. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4280	journal	February 2014
Magnetic-Field-Enhanced Incommensurate Magnetic Order in the Underdoped High-Temperature Superconductor ${YBa}_{2} {Cu}_{3} O_{6.45}$ Haug, D.; Hinkov, V.; Suchaneck, A. Physical Review Letters, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevLett.103.017001	journal	June 2009
Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in ${La}_{1.6 - x} {Nd}_{0.4} {Sr}_{x} {CuO}_{4}$ Tranquada, J. M.; Axe, J. D.; Ichikawa, N. Physical Review Letters, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevLett.78.338	journal	January 1997
Superconducting properties of ${La}_{2 - x}$ ${Ba}_{x}$ ${CuO}_{4}$ Moodenbaugh, A. R.; Xu, Youwen; Suenaga, M. Physical Review B, Vol. 38, Issue 7 https://doi.org/10.1103/PhysRevB.38.4596	journal	September 1988
Electronic liquid-crystal phases of a doped Mott insulator Kivelson, S. A.; Fradkin, E.; Emery, V. J. Nature, Vol. 393, Issue 6685 https://doi.org/10.1038/31177	journal	June 1998
Competing States in the $t$ - $J$ Model: Uniform $d$ -Wave State versus Stripe State Corboz, Philippe; Rice, T. M.; Troyer, Matthias Physical Review Letters, Vol. 113, Issue 4 https://doi.org/10.1103/PhysRevLett.113.046402	journal	July 2014
Energetics of Domain Walls in the 2D $t - J$ Model White, Steven R.; Scalapino, D. J. Physical Review Letters, Vol. 81, Issue 15 https://doi.org/10.1103/PhysRevLett.81.3227	journal	October 1998
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates Kohsaka, Y.; Taylor, C.; Fujita, K. Science, Vol. 315, Issue 5817 https://doi.org/10.1126/science.1138584	journal	March 2007
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen Nature, Vol. 477, Issue 7363 https://doi.org/10.1038/nature10345	journal	September 2011
Study of an Ising model with competing long- and short-range interactions Löw, U.; Emery, V. J.; Fabricius, K. Physical Review Letters, Vol. 72, Issue 12 https://doi.org/10.1103/PhysRevLett.72.1918	journal	March 1994
Frustrated electronic phase separation and high-temperature superconductors Emery, V. J.; Kivelson, S. A. Physica C: Superconductivity, Vol. 209, Issue 4 https://doi.org/10.1016/0921-4534(93)90581-A	journal	May 1993
Two-dimensional superconductivity in stripe-ordered ${La}_{1.6 - x} {Nd}_{0.4} {Sr}_{x} {CuO}_{4}$ single crystals Ding, J. F.; Xiang, X. Q.; Zhang, Y. Q. Physical Review B, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevB.77.214524	journal	June 2008
Spin susceptibility of underdoped cuprate superconductors: Insights from a stripe-ordered crystal Hücker, M.; Gu, G. D.; Tranquada, J. M. Physical Review B, Vol. 78, Issue 21 https://doi.org/10.1103/PhysRevB.78.214507	journal	December 2008
From Mott state to superconductivity in 1T-TaS2 Sipos, B.; Kusmartseva, A. F.; Akrap, A. Nature Materials, Vol. 7, Issue 12 https://doi.org/10.1038/nmat2318	journal	November 2008
Incoherent charge dynamics of ${La}_{2 - x} {Sr}_{x} {CuO}_{4} :$ Dynamical localization and resistivity saturation Takenaka, K.; Nohara, J.; Shiozaki, R. Physical Review B, Vol. 68, Issue 13 https://doi.org/10.1103/PhysRevB.68.134501	journal	October 2003
Local Magnetic Order vs Superconductivity in a Layered Cuprate Ichikawa, N.; Uchida, S.; Tranquada, J. M. Physical Review Letters, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevLett.85.1738	journal	August 2000
Heat capacity through the magnetic-field-induced resistive transition in an underdoped high-temperature superconductor Riggs, Scott C.; Vafek, O.; Kemper, J. B. Nature Physics, Vol. 7, Issue 4 https://doi.org/10.1038/nphys1921	journal	February 2011
Nernst and Seebeck Coefficients of the Cuprate Superconductor ${YBa}_{2} {Cu}_{3} O_{6.67}$ : A Study of Fermi Surface Reconstruction Chang, J.; Daou, R.; Proust, Cyril Physical Review Letters, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevLett.104.057005	journal	February 2010
Charge stripe order near the surface of 12-percent doped La2−xSrxCuO4 Wu, H. -H.; Buchholz, M.; Trabant, C. Nature Communications, Vol. 3, Issue 1 https://doi.org/10.1038/ncomms2019	journal	January 2012
Charge ordering in the electron-doped superconductor Nd2-xCexCuO4 da Silva Neto, E. H.; Comin, R.; He, F. Science, Vol. 347, Issue 6219 https://doi.org/10.1126/science.1256441	journal	January 2015
Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45 Hinkov, V.; Haug, D.; Fauque, B. Science, Vol. 319, Issue 5863 https://doi.org/10.1126/science.1152309	journal	January 2008
Ineluctable complexity Fradkin, Eduardo; Kivelson, Steven A. Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2498	journal	November 2012
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 Chang, J.; Blackburn, E.; Holmes, A. T. Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2456	journal	October 2012
Phase diagram of charge order in La $_{1.8 - x}$ Eu $_{0.2}$ Sr $_{x}$ CuO $_{4}$ from resonant soft x-ray diffraction Fink, Jörg; Soltwisch, Victor; Geck, Jochen Physical Review B, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevB.83.092503	journal	March 2011
Spin-Stripe Density Varies Linearly With the Hole Content in Single-Layer ${Bi}_{2 + x} {Sr}_{2 - x} {CuO}_{6 + y}$ Cuprate Superconductors Enoki, M.; Fujita, M.; Nishizaki, T. Physical Review Letters, Vol. 110, Issue 1 https://doi.org/10.1103/PhysRevLett.110.017004	journal	January 2013
Density Matrix Renormalization Group Study of the Striped Phase in the 2D $t - J$ Model White, Steven R.; Scalapino, D. J. Physical Review Letters, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevLett.80.1272	journal	February 1998
Spectroscopic evidence for a pseudogap in the normal state of underdoped high-Tc superconductors Ding, H.; Yokoya, T.; Campuzano, J. C. Nature, Vol. 382, Issue 6586 https://doi.org/10.1038/382051a0	journal	July 1996
Electron pockets in the Fermi surface of hole-doped high-Tc superconductors LeBoeuf, David; Doiron-Leyraud, Nicolas; Levallois, Julien Nature, Vol. 450, Issue 7169 https://doi.org/10.1038/nature06332	journal	November 2007
Evidence for stripe correlations of spins and holes in copper oxide superconductors Tranquada, J. M.; Sternlieb, B. J.; Axe, J. D. Nature, Vol. 375, Issue 6532 https://doi.org/10.1038/375561a0	journal	June 1995
Antiphase stripe order as the origin of electron pockets observed in 1/8-hole-doped cuprates Millis, Andrew J.; Norman, M. R. Physical Review B, Vol. 76, Issue 22 https://doi.org/10.1103/PhysRevB.76.220503	journal	December 2007
Enhanced charge stripe order of superconducting La $_{2 - x}$ Ba $_{x}$ CuO $_{4}$ in a magnetic field Hücker, M.; v. Zimmermann, M.; Xu, Z. J. Physical Review B, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevB.87.014501	journal	January 2013
Optical spectroscopy of the charge-ordering transition in ${La}_{1.67}$ ${Sr}_{0.33}$ ${NiO}_{4}$ Katsufuji, T.; Tanabe, T.; Ishikawa, T. Physical Review B, Vol. 54, Issue 20 https://doi.org/10.1103/PhysRevB.54.R14230	journal	November 1996
Colloquium : Theory of intertwined orders in high temperature superconductors Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M. Reviews of Modern Physics, Vol. 87, Issue 2 https://doi.org/10.1103/RevModPhys.87.457	journal	May 2015
Neutron-Scattering Evidence for a Periodically Modulated Superconducting Phase in the Underdoped Cuprate ${La}_{1.905} {Ba}_{0.095} {CuO}_{4}$ Xu, Zhijun; Stock, C.; Chi, Songxue Physical Review Letters, Vol. 113, Issue 17 https://doi.org/10.1103/PhysRevLett.113.177002	journal	October 2014
Stripe order in superconducting La $_{2 - x}$ Ba $_{x}$ CuO $_{4}$ ( $0.095 ⩽ x ⩽ 0.155$ ) Hücker, M.; v. Zimmermann, M.; Gu, G. D. Physical Review B, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevB.83.104506	journal	March 2011
Theory of the pseudogap state of the cuprates Varma, C. M. Physical Review B, Vol. 73, Issue 15 https://doi.org/10.1103/PhysRevB.73.155113	journal	April 2006
Possible highT c superconductivity in the Ba?La?Cu?O system Bednorz, J. G.; M�ller, K. A. Zeitschrift f�r Physik B Condensed Matter, Vol. 64, Issue 2 https://doi.org/10.1007/BF01303701	journal	June 1986
$c$ -Axis Optical Response in the Static Stripe Ordered Phase of the Cuprates Tajima, S.; Noda, T.; Eisaki, H. Physical Review Letters, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevLett.86.500	journal	January 2001
Stripe order, depinning, and fluctuations in ${La}_{1.875} {Ba}_{0.125} {CuO}_{4}$ and ${La}_{1.875} {Ba}_{0.075} {Sr}_{0.050} {CuO}_{4}$ Fujita, M.; Goka, H.; Yamada, K. Physical Review B, Vol. 70, Issue 10 https://doi.org/10.1103/PhysRevB.70.104517	journal	September 2004
Reconstructed Fermi Surface of Underdoped ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ Cuprate Superconductors Yang, H. -B.; Rameau, J. D.; Pan, Z. -H. Physical Review Letters, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevLett.107.047003	journal	July 2011
Breakdown of the universal Josephson relation in spin-ordered cuprate superconductors Schafgans, A. A.; Homes, C. C.; Gu, G. D. Physical Review B, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevB.82.100505	journal	September 2010
The pseudogap: friend or foe of high T _c ? Norman, M. R.; Pines, D.; Kallin, C. Advances in Physics, Vol. 54, Issue 8 https://doi.org/10.1080/00018730500459906	journal	December 2005
Direct observation of dynamic charge stripes in La2–xSrxNiO4 Anissimova, S.; Parshall, D.; Gu, G. D. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4467	journal	March 2014
Periodic density-of-states modulations in superconducting ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ Howald, C.; Eisaki, H.; Kaneko, N. Physical Review B, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevB.67.014533	journal	January 2003
Uniaxial linear resistivity of superconducting La $_{1.905}$ Ba $_{0.095}$ CuO $_{4}$ induced by an external magnetic field Wen, Jinsheng; Jie, Qing; Li, Qiang Physical Review B, Vol. 85, Issue 13 https://doi.org/10.1103/PhysRevB.85.134513	journal	April 2012
Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+ Comin, R.; Frano, A.; Yee, M. M. Science, Vol. 343, Issue 6169 https://doi.org/10.1126/science.1242996	journal	December 2013
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x Ghiringhelli, G.; Le Tacon, M.; Minola, M. Science, Vol. 337, Issue 6096 https://doi.org/10.1126/science.1223532	journal	July 2012
Charge density wave fluctuations in ${La}_{2 - x}$ ${Sr}_{x}$ ${CuO}_{4}$ and their competition with superconductivity Croft, T. P.; Lester, C.; Senn, M. S. Physical Review B, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevB.89.224513	journal	June 2014
Electrodynamics of the nodal metal state in weakly doped high- $T_{c}$ cuprates Lee, Y. S.; Segawa, Kouji; Li, Z. Q. Physical Review B, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevB.72.054529	journal	August 2005
Magnetism in La2CuO4 based compounds Machida, Kazushige Physica C: Superconductivity, Vol. 158, Issue 1-2 https://doi.org/10.1016/0921-4534(89)90316-X	journal	April 1989
Evidence for unusual superconducting correlations coexisting with stripe order in ${La}_{1.875} {Ba}_{0.125} {CuO}_{4}$ Tranquada, J. M.; Gu, G. D.; Hücker, M. Physical Review B, Vol. 78, Issue 17 https://doi.org/10.1103/PhysRevB.78.174529	journal	November 2008
Phase competition in trisected superconducting dome Vishik, I. M.; Hashimoto, M.; He, R. -H. Proceedings of the National Academy of Sciences, Vol. 109, Issue 45 https://doi.org/10.1073/pnas.1209471109	journal	October 2012
Vortex lattice melting and $H_{c 2}$ in underdoped YBa $_{2}$ Cu $_{3}$ O $_{y}$ Ramshaw, B. J.; Day, James; Vignolle, Baptiste Physical Review B, Vol. 86, Issue 17 https://doi.org/10.1103/PhysRevB.86.174501	journal	November 2012
Evidence for Short-Range-Ordered Charge Stripes Far above the Charge-Ordering Transition in ${La}_{1.67} {Sr}_{0.33} {NiO}_{4}$ Abeykoon, A. M. Milinda; Božin, Emil S.; Yin, Wei-Guo Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.096404	journal	August 2013
Phase separation in the t - J model Emery, V. J.; Kivelson, S. A.; Lin, H. Q. Physical Review Letters, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevLett.64.475	journal	January 1990
Rotated stripe order and its competition with superconductivity in ${La}_{1.88} {Sr}_{0.12} {CuO}_{4}$ Thampy, V.; Dean, M. P. M.; Christensen, N. B. Physical Review B, Vol. 90, Issue 10 https://doi.org/10.1103/PhysRevB.90.100510	journal	September 2014
Mean-Field Pairing Theory for the Charge-Stripe Phase of High-Temperature Cuprate Superconductors Loder, Florian; Graser, Siegfried; Kampf, Arno P. Physical Review Letters, Vol. 107, Issue 18 https://doi.org/10.1103/PhysRevLett.107.187001	journal	October 2011
Pairing on striped $t − t^{'} − J$ lattices White, Steven R.; Scalapino, D. J. Physical Review B, Vol. 79, Issue 22 https://doi.org/10.1103/PhysRevB.79.220504	journal	June 2009
Structural Instability Associated with the Tilting of CuO ₆ Octahedra in La _{2 - x} Sr _x CuO ₄ Kimura, Hiroyuki; Hirota, Kazuma; Lee, Chul-Ho Journal of the Physical Society of Japan, Vol. 69, Issue 3 https://doi.org/10.1143/JPSJ.69.851	journal	March 2000
Stripe structures in the t–t′-J model Scalapino, D. J.; White, S. R. Physica C: Superconductivity, Vol. 481 https://doi.org/10.1016/j.physc.2012.04.004	journal	November 2012
Momentum-Dependent Charge Correlations in ${YBa}_{2} {Cu}_{3} O_{6 + δ}$ Superconductors Probed by Resonant X-Ray Scattering: Evidence for Three Competing Phases Blanco-Canosa, S.; Frano, A.; Loew, T. Physical Review Letters, Vol. 110, Issue 18 https://doi.org/10.1103/PhysRevLett.110.187001	journal	May 2013
Structural phase transformations and superconductivity in ${La}_{2 - x}$ ${Ba}_{x}$ ${CuO}_{4}$ Axe, J. D.; Moudden, A. H.; Hohlwein, D. Physical Review Letters, Vol. 62, Issue 23 https://doi.org/10.1103/PhysRevLett.62.2751	journal	June 1989
Stripe States with Spatially Oscillating $d$ -Wave Superconductivity in the Two-Dimensional $t - t^{'} - J$ Model Himeda, A.; Kato, T.; Ogata, M. Physical Review Letters, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevLett.88.117001	journal	February 2002
Hidden order in the cuprates Chakravarty, Sudip; Laughlin, R. B.; Morr, Dirk K. Physical Review B, Vol. 63, Issue 9 https://doi.org/10.1103/PhysRevB.63.094503	journal	January 2001
Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. Nature Physics, Vol. 5, Issue 11 https://doi.org/10.1038/nphys1389	journal	September 2009
Towards a Two-Dimensional Superconducting State of ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ in a Moderate External Magnetic Field Schafgans, A. A.; LaForge, A. D.; Dordevic, S. V. Physical Review Letters, Vol. 104, Issue 15 https://doi.org/10.1103/PhysRevLett.104.157002	journal	April 2010
A common thread: The pairing interaction for unconventional superconductors Scalapino, D. J. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1383	journal	October 2012
Bulk superconductivity in both tetragonal and orthorhombic solid solutions of ( ${La}_{1 - x}$ ${Sr}_{x}$ $)_{2}$ ${CuO}_{4 - δ}$ Nagano, T.; Tomioka, Y.; Nakayama, Y. Physical Review B, Vol. 48, Issue 13 https://doi.org/10.1103/PhysRevB.48.9689	journal	October 1993
Charged domain-wall dynamics in doped antiferromagnets and spin fluctuations in cuprate superconductors Zaanen, J.; Horbach, M. L.; van Saarloos, W. Physical Review B, Vol. 53, Issue 13 https://doi.org/10.1103/PhysRevB.53.8671	journal	April 1996
${}^{17}O$ NMR Evidence for a Pseudogap in the Monolayer ${HgBa}_{2} {CuO}_{4 + δ}$ Bobroff, J.; Alloul, H.; Mendels, P. Physical Review Letters, Vol. 78, Issue 19 https://doi.org/10.1103/PhysRevLett.78.3757	journal	May 1997
Direct measurement of the upper critical field in a cuprate superconductor Grissonnanche, G.; Cyr-Choiniere, O.; Laliberte, F. arXiv https://doi.org/10.48550/arxiv.1303.3856	text	January 2013
Connection between charge-density-wave order and charge transport in the cuprate superconductors Tabis, W.; Li, Y.; Tacon, M. Le arXiv https://doi.org/10.48550/arxiv.1404.7658	text	January 2014
Theory of Intertwined Orders in High Temperature Superconductors Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M. arXiv https://doi.org/10.48550/arxiv.1407.4480	text	January 2014

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Staging superstructures in high- $T_{c}$ Sr/O codoped ${La}_{2 - x} {Sr}_{x} {CuO}_{4 + y}$ Ray, P. J.; Andersen, N. H.; Jensen, T. B. S. Physical Review B, Vol. 96, Issue 17 https://doi.org/10.1103/physrevb.96.174106	journal	November 2017
Phase diagrams of a 2D Ising spin-pseudospin model Panov, Yu. D.; Ulitko, V. A.; Budrin, K. S. arXiv https://doi.org/10.48550/arxiv.1902.00076	text	January 2019

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