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Evidence for a vestigial nematic state in the cuprate pseudogap phase
Abstract
The CuO2 antiferromagnetic insulator is transformed by hole-doping into an exotic quantum fluid usually referred to as the pseudogap (PG) phase. Its defining characteristic is a strong suppression of the electronic density-of-states D(E) for energies |E| < Δ*, where Δ* is the PG energy. Unanticipated broken-symmetry phases have been detected by a wide variety of techniques in the PG regime, most significantly a finite-Q density-wave (DW) state and a Q = 0 nematic (NE) state. Sublattice-phase-resolved imaging of electronic structure allows the doping and energy dependence of these distinct broken-symmetry states to be visualized simultaneously. Using this approach, we show that even though their reported ordering temperatures TDW and TNE are unrelated to each other, both the DW and NE states always exhibit their maximum spectral intensity at the same energy, and using independent measurements that this is the PG energy Δ*. Moreover, no new energy-gap opening coincides with the appearance of the DW state (which should theoretically open an energy gap on the Fermi surface), while the observed PG opening coincides with the appearance of the NE state (which should theoretically be incapable of opening a Fermi-surface gap). Here, we demonstrate how this perplexing phenomenology of thermal transitions andmore »
- Authors:
-
- Indian Institute of Space Science and Technology, Thiruvananthapuram (India); Cornell Univ., Ithaca, NY (United States)
- Cornell Univ., Ithaca, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Stanford Univ., CA (United States)
- Harvard Univ., Cambridge, MA (United States)
- Nanoelectronics Research Institute, Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki (Japan)
- Nanoelectronics Research Institute, Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki (Japan); Univ. of Tokyo (Japan)
- Cornell Univ., Ithaca, NY (United States)
- Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
- Univ. College Cork (Ireland); Univ. of Oxford (United Kingdom)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Cornell Univ., Ithaca, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1546047
- Alternate Identifier(s):
- OSTI ID: 2322517
- Report Number(s):
- BNL-211919-2019-JAAM
Journal ID: ISSN 0027-8424
- Grant/Contract Number:
- SC0012704; AC02-98CH10886; SC0018946
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Volume: 116; Journal Issue: 27; Journal ID: ISSN 0027-8424
- Publisher:
- National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; cuprate; pseudogap; broken symmetry; density wave; vestigial nematic
Citation Formats
Mukhopadhyay, Sourin, Sharma, Rahul, Kim, Chung Koo, Edkins, Stephen D., Hamidian, Mohammad H., Eisaki, Hiroshi, Uchida, Shin-ichi, Kim, Eun-Ah, Lawler, Michael J., Mackenzie, Andrew P., Davis, J. C. Séamus, and Fujita, Kazuhiro. Evidence for a vestigial nematic state in the cuprate pseudogap phase. United States: N. p., 2019.
Web. doi:10.1073/pnas.1821454116.
Mukhopadhyay, Sourin, Sharma, Rahul, Kim, Chung Koo, Edkins, Stephen D., Hamidian, Mohammad H., Eisaki, Hiroshi, Uchida, Shin-ichi, Kim, Eun-Ah, Lawler, Michael J., Mackenzie, Andrew P., Davis, J. C. Séamus, & Fujita, Kazuhiro. Evidence for a vestigial nematic state in the cuprate pseudogap phase. United States. https://doi.org/10.1073/pnas.1821454116
Mukhopadhyay, Sourin, Sharma, Rahul, Kim, Chung Koo, Edkins, Stephen D., Hamidian, Mohammad H., Eisaki, Hiroshi, Uchida, Shin-ichi, Kim, Eun-Ah, Lawler, Michael J., Mackenzie, Andrew P., Davis, J. C. Séamus, and Fujita, Kazuhiro. 2019.
"Evidence for a vestigial nematic state in the cuprate pseudogap phase". United States. https://doi.org/10.1073/pnas.1821454116. https://www.osti.gov/servlets/purl/1546047.
@article{osti_1546047,
title = {Evidence for a vestigial nematic state in the cuprate pseudogap phase},
author = {Mukhopadhyay, Sourin and Sharma, Rahul and Kim, Chung Koo and Edkins, Stephen D. and Hamidian, Mohammad H. and Eisaki, Hiroshi and Uchida, Shin-ichi and Kim, Eun-Ah and Lawler, Michael J. and Mackenzie, Andrew P. and Davis, J. C. Séamus and Fujita, Kazuhiro},
abstractNote = {The CuO2 antiferromagnetic insulator is transformed by hole-doping into an exotic quantum fluid usually referred to as the pseudogap (PG) phase. Its defining characteristic is a strong suppression of the electronic density-of-states D(E) for energies |E| < Δ*, where Δ* is the PG energy. Unanticipated broken-symmetry phases have been detected by a wide variety of techniques in the PG regime, most significantly a finite-Q density-wave (DW) state and a Q = 0 nematic (NE) state. Sublattice-phase-resolved imaging of electronic structure allows the doping and energy dependence of these distinct broken-symmetry states to be visualized simultaneously. Using this approach, we show that even though their reported ordering temperatures TDW and TNE are unrelated to each other, both the DW and NE states always exhibit their maximum spectral intensity at the same energy, and using independent measurements that this is the PG energy Δ*. Moreover, no new energy-gap opening coincides with the appearance of the DW state (which should theoretically open an energy gap on the Fermi surface), while the observed PG opening coincides with the appearance of the NE state (which should theoretically be incapable of opening a Fermi-surface gap). Here, we demonstrate how this perplexing phenomenology of thermal transitions and energy-gap opening at the breaking of two highly distinct symmetries may be understood as the natural consequence of a vestigial nematic state within the pseudogap phase of Bi2Sr2CaCu2O8.},
doi = {10.1073/pnas.1821454116},
url = {https://www.osti.gov/biblio/1546047},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
issn = {0027-8424},
number = 27,
volume = 116,
place = {United States},
year = {Mon Jun 03 00:00:00 EDT 2019},
month = {Mon Jun 03 00:00:00 EDT 2019}
}
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Works referenced in this record:
Observation of magnetic order in a superconducting single crystal using polarized neutron scattering
journal, July 2008
- Mook, H. A.; Sidis, Y.; Fauqué, B.
- Physical Review B, Vol. 78, Issue 2
X-ray scattering study of charge density waves in
journal, February 2008
- Kim, Young-June; Gu, G. D.; Gog, T.
- Physical Review B, Vol. 77, Issue 6
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II Single Crystals in Zero Magnetic Field
journal, March 2013
- Blackburn, E.; Chang, J.; Hücker, M.
- Physical Review Letters, Vol. 110, Issue 13
Resonant x-ray scattering study of charge-density wave correlations in
journal, August 2014
- Blanco-Canosa, S.; Frano, A.; Schierle, E.
- Physical Review B, Vol. 90, Issue 5
Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered 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
Vestigial nematicity from spin and/or charge order in the cuprates
journal, August 2017
- Nie, Laimei; Maharaj, Akash V.; Fradkin, Eduardo
- Physical Review B, Vol. 96, Issue 8
Detection of a Cooper-Pair Density Wave in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$
text, January 2015
- Hamidian, M. H.; Edkins, S. D.; Joo, Sang Hyun
- arXiv
Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x
journal, April 2016
- Hamidian, M. H.; Edkins, S. D.; Joo, Sang Hyun
- Nature, Vol. 532, Issue 7599
Bounding the pseudogap with a line of phase transitions in YBa2Cu3O6+δ
journal, June 2013
- Shekhter, Arkady; Ramshaw, B. J.; Liang, Ruixing
- Nature, Vol. 498, Issue 7452
Topological Defects Coupling Smectic Modulations to Intra-Unit-Cell Nematicity in Cuprates
journal, July 2011
- Mesaros, A.; Fujita, K.; Eisaki, H.
- Science, Vol. 333, Issue 6041
Thermodynamic evidence for a nematic phase transition at the onset of the pseudogap in YBa2Cu3Oy
journal, July 2017
- Sato, Y.; Kasahara, S.; Murayama, H.
- Nature Physics, Vol. 13, Issue 11
Unusual magnetic order in the pseudogap region of the superconductor HgBa2CuO4+δ
journal, September 2008
- Li, Y.; Balédent, V.; Barišić, N.
- Nature, Vol. 455, Issue 7211
From a Single-Band Metal to a High-Temperature Superconductor via Two Thermal Phase Transitions
journal, March 2011
- He, R. -H.; Hashimoto, M.; Karapetyan, H.
- Science, Vol. 331, Issue 6024
Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields
journal, November 2015
- Gerber, S.; Jang, H.; Nojiri, H.
- Science, Vol. 350, Issue 6263
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
Remnant of stripe order
journal, May 2014
- Scalapino, D. J.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 22
a-b anisotropy of the intra-unit-cell magnetic order in $\rm YBa_2Cu_3O_{6.6}$
text, January 2017
- Mangin-Thro, Lucile; Li, Yuan; Sidis, Yvan
- arXiv
Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
text, January 2014
- Wu, T.; Mayaffre, H.; Krämer, S.
- arXiv
Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998
- Kivelson, S. A.; Fradkin, E.; Emery, V. J.
- Nature, Vol. 393, Issue 6685
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
Inhomogeneity of charge-density-wave order and quenched disorder in a high-Tc superconductor
journal, September 2015
- Campi, G.; Bianconi, A.; Poccia, N.
- Nature, Vol. 525, Issue 7569
Anisotropy of the Intra-Unit-Cell Magnetic Order in
journal, March 2017
- Mangin-Thro, Lucile; Li, Yuan; Sidis, Yvan
- Physical Review Letters, Vol. 118, Issue 9
Understanding complexity
journal, May 2018
- Kivelson, Sophia; Kivelson, Steven
- Nature Physics, Vol. 14, Issue 5
Intra-unit-cell magnetic correlations near optimal doping in YBa2Cu3O6.85
journal, July 2015
- Mangin-Thro, L.; Sidis, Y.; Wildes, A.
- Nature Communications, Vol. 6, Issue 1
Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
text, January 2018
- Edkins, Stephen D.; Kostin, Andrey; Fujita, Kazuhiro
- arXiv
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
Atomic-Scale Sources and Mechanism of Nanoscale Electronic Disorder in Bi2Sr2CaCu2O8+
journal, August 2005
- McElroy, K.
- Science, Vol. 309, Issue 5737
Spontaneous breaking of time-reversal symmetry in the pseudogap state of a high-Tc superconductor
journal, April 2002
- Kaminski, A.; Rosenkranz, S.; Fretwell, H. M.
- Nature, Vol. 416, Issue 6881
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010
- Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
- Nature, Vol. 466, Issue 7304
Intra-Unit-Cell magnetic correlations near optimal doping in $\rm YBa_2Cu_3O_{6.85}$
text, January 2015
- Mangin-Thro, L.; Sidis, Y.; Wildes, A.
- arXiv
The doping dependence of T* – what is the real high-Tc phase diagram?
journal, January 2001
- Tallon, J. L.; Loram, J. W.
- Physica C: Superconductivity, Vol. 349, Issue 1-2
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
Polar Kerr-Effect Measurements of the High-Temperature Superconductor: Evidence for Broken Symmetry near the Pseudogap Temperature
journal, March 2008
- Xia, Jing; Schemm, Elizabeth; Deutscher, G.
- Physical Review Letters, Vol. 100, Issue 12
Magnetic Order in the Pseudogap Phase of High- Superconductors
journal, May 2006
- Fauqué, B.; Sidis, Y.; Hinkov, V.
- Physical Review Letters, Vol. 96, Issue 19
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
Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
text, January 2012
- Ghiringhelli, G.; Tacon, M. Le; Minola, M.
- arXiv
Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
text, January 2009
- Daou, R.; Chang, J.; LeBoeuf, David
- arXiv
Topological order in the pseudogap metal
journal, April 2018
- Scheurer, Mathias S.; Chatterjee, Shubhayu; Wu, Wei
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 16
Optically induced lattice deformations, electronic structure changes, and enhanced superconductivity in YBa2Cu3O6.48
preprint, January 2017
- Mankowsky, R.; Fechner, M.; Först, M.
- arXiv
Particle-hole symmetry in the antiferromagnetic state of the cuprates
text, January 2001
- Wang, Yayu; Ong, N. P.
- arXiv
The pseudogap: friend or foe of high T c ?
journal, December 2005
- Norman, M. R.; Pines, D.; Kallin, C.
- Advances in Physics, Vol. 54, Issue 8
Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017
- Zheng, Bo-Xiao; Chung, Chia-Min; Corboz, Philippe
- Science, Vol. 358, Issue 6367
Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
text, January 2015
- Campi, G.; Bianconi, A.; Poccia, N.
- arXiv
The pseudogap: friend or foe of high Tc?
text, January 2005
- Norman, M. R.; Pines, D.; Kallin, C.
- arXiv
Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
journal, May 2014
- Nie, L.; Tarjus, G.; Kivelson, S. A.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 22
Magnetic order in the pseudogap phase of high-$T_C$ superconductors
text, January 2005
- Fauque, B.; Sidis, Y.; Hinkov, V.
- arXiv
Stripe phases in high-temperature superconductors
journal, August 1999
- Emery, V. J.; Kivelson, S. A.; Tranquada, J. M.
- Proceedings of the National Academy of Sciences, Vol. 96, Issue 16
Topological Defects Coupling Smectic Modulations to Intra-unit-cell Nematicity in Cuprate
text, January 2011
- Mesaros, A.; Fujita, K.; Eisaki, H.
- arXiv
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
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
Symmetry of charge order in cuprates
journal, May 2015
- Comin, R.; Sutarto, R.; He, F.
- Nature Materials, Vol. 14, Issue 8
The microscopic structure of charge density waves in underdoped YBa2Cu3O6.54 revealed by X-ray diffraction
journal, December 2015
- Forgan, E. M.; Blackburn, E.; Holmes, A. T.
- Nature Communications, Vol. 6, Issue 1
Competing states in the t-J model: uniform d-wave state versus stripe state
text, January 2014
- Corboz, Philippe; Rice, T. M.; Troyer, Matthias
- arXiv
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
Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008
- Hinkov, V.; Haug, D.; Fauque, B.
- Science, Vol. 319, Issue 5863
Spectroscopic Imaging Scanning Tunneling Microscopy Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High- T c Superconductors
journal, January 2012
- Fujita, Kazuhiro; R. Schmidt, Andrew; Kim, Eun-Ah
- Journal of the Physical Society of Japan, Vol. 81, Issue 1
A global inversion-symmetry-broken phase inside the pseudogap region of YBa2Cu3Oy
journal, November 2016
- Zhao, L.; Belvin, C. A.; Liang, R.
- Nature Physics, Vol. 13, Issue 3
Magnetic order in the pseudogap phase of HgBa CuO studied by spin-polarized neutron diffraction
journal, December 2011
- Li, Yuan; Balédent, V.; Barišić, N.
- Physical Review B, Vol. 84, Issue 22
Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
text, January 2014
- Fujita, K.; Hamidian, M. H.; Edkins, S. D.
- arXiv
Vestigial nematicity from spin and/or charge order in the cuprates
text, January 2017
- Nie, Laimei; Maharaj, Akash V.; Fradkin, Eduardo
- arXiv
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Strain-Induced Spin-Nematic State and Nematic Susceptibility Arising from Fe Clusters in
journal, December 2019
- Song, Yu; Yuan, Dongsheng; Lu, Xingye
- Physical Review Letters, Vol. 123, Issue 24