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I begin with a proposed global phase diagram of the cuprate superconductors as a function of carrier concentration, magnetic field, and temperature, and highlight its connection to numerous recent experiments.
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N. Read and S. Sachdev, Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
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N. Read and S. Sachdev, Large- N N expansion for frustrated quantum antiferromagnets
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S. Sachdev and N. Read, Large N expansion for frustrated and doped quantum antiferromagnets
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B. Rosenstein, B. J. Warr, and S. H. Park, Dynamical symmetry breaking in four-fermion interaction models
1991
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S. Sachdev, Kagomé- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons
1992
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T. Einarsson and H. Johannesson, Effective-action approach to the frustrated Heisenberg antiferromagnet in two dimensions
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1994
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S. Sachdev, A. V. Chubukov, and A. Sokol, Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
1995
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D. J. Scalapino, The case for d x 2 − y 2 d_{x^{2}-y^{2}} pairing in the cuprate superconductors
1995
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S. Sachdev, Quantum Antiferromagnets in Two Dimensions
1995
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B. Normand and T. M. Rice, Dynamical properties of an antiferromagnet near the quantum critical point: Application to LaCuO 2.5
1997
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S. Sachdev, Theory of finite-temperature crossovers near quantum critical points close to,or above, their upper-critical dimension
1997
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R. B. Laughlin, Magnetic Induction of d x 2 − y 2 + i d x y d_{x^{2}-y^{2}}+id_{xy} Order in High- T c T_{c} Superconductors
1998
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T. Senthil and M. P. A. Fisher, Z 2 Z_{2} gauge theory of electron fractionalization in strongly correlated systems
2000
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M. Vojta, Y. Zhang, and S. Sachdev, Renormalization group analysis of quantum critical points in d d -wave superconductors
2000
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V. Hinkov, D. Haug, B. Fauqué, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer, Electronic Liquid Crystal State in the High-Temperature Superconductor YBa 2 Cu 3 O 6.45
2008
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N. Ni, M. E. Tillman, J.-Q. Yan, A. Kracher, S. T. Hannahs, S. L. Bud’ko, and P. C. Canfield, Effects of Co substitution on thermodynamic and transport properties and anisotropic H c 2 H_{c2} in Ba(Fe 1-x
2008
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S. Sachdev, Exotic phases and quantum phase transitions: model systems and experiments
2008
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Ch. Rüegg, B. Normand, M. Matsumoto, A. Furrer, D. F. McMorrow, K. W. Krämer, H. -U. Güdel, S. N. Gvasaliya, H. Mutka, and M. Boehm, Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl 3
2008
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B. Lake, G. Aeppli, K. N. Clausen, D. F. McMorrow, K. Lefmann, N. E. Hussey, N. Mangkorntong, M. Nohara, H. Takagi, T. E. Mason, and A. Schröder, Spins in the Vortices of a High-Temperature Superconductor
2001
Cited alongside, same era.
T. Sommer, M. Vojta, and K. W. Becker, Magnetic properties and spin waves of bilayer magnets in a uniform field
2001
Cited alongside, same era.
M.-R. Li, P. J. Hirschfeld, and P. Woelfle, Vortex state of a d d -wave superconductor at low temperatures
2001
Cited alongside, same era.
D. V. Khveshchenko and J. Paaske, Incipient Nodal Pairing in Planar d d -wave Superconductors
2001
Cited alongside, same era.
E. Demler, S. Sachdev, and Y. Zhang, Spin-Ordering Quantum Transitions of Superconductors in a Magnetic Field
2002
Cited alongside, same era.
B. Lake, H. M. Rønnow, N. B. Christensen, G. Aeppli, K. Lefmann, D. F. McMorrow, P. Vorderwisch, P. Smeibidl, N. Mangkorntong, T. Sasagawa, M. Nohara, H. Takagi, and T. E. Mason, Antiferromagnetic order induced by an applied magnetic field in a high-temperature superconductor
2002
Cited alongside, same era.
Y. Ando, K. Segawa, S. Komiya, and A. N. Lavrov, Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors
2002
Cited alongside, same era.
A. Pelissetto, S. Sachdev and E. Vicari, Nodal Quasiparticles and the Onset of Spin-Density-Wave Order in Cuprate Superconductors
2008
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E.-A. Kim, M. J. Lawler, P. Oreto, S. Sachdev, E. Fradkin, and S. A. Kivelson, Theory of the nodal nematic quantum phase transition in superconductors
2008
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M. Vojta, Y. Zhang, and S. Sachdev, Quantum Phase Transitions in d d -Wave Superconductors
2008
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Y. Huh and S. Sachdev, Renormalization group theory of nematic ordering in d d -wave superconductors
2008
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E. G. Moon and S. Sachdev, Competition between spin density wave order and superconductivity in the underdoped cuprates
2009
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R. Daou, N. Doiron-Leyraud, D. LeBoeuf, S. Y. Li, F. Laliberté, O. Cyr-Choinière, Y. J. Jo, L. Balicas, J.-Q. Yan, J.-S. Zhou, J. B. Goodenough, and L. Taillefer, Linear temperature dependence of resistivity and change in the Fermi surface at the pseudogap critical point of a high- T c T_{c} superconductor
2009
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T. Helm, M. V. Kartsovnik, M. Bartkowiak, N. Bittner, M. Lambacher, A. Erb, J. Wosnitza, and R. Gross, Evolution of the Fermi Surface of the Electron-Doped High-Temperature Superconductor Nd 2-x
2009
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S. Sachdev, M. A. Metlitski, Y. Qi, and C. Xu, Fluctuating spin density waves in metals
2009
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V. Galitski and S. Sachdev, Paired electron pockets in the hole-doped cuprates
2009
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J. Chang, N. B. Christensen, Ch. Niedermayer, K. Lefmann, H. M. Rønnow, D. F. McMorrow, A. Schneidewind, P. Link, A. Hiess, M. Boehm, R. Mottl, S. Pailhes, N. Momono, M. Oda, M. Ido, and J. Mesot, Magnetic-Field-Induced Soft-Mode Quantum Phase Transition in the High-Temperature Superconductor La 1.855
2009
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D. Haug, V. Hinkov, A. Suchaneck, D. S. Inosov, N. B. Christensen, Ch. Niedermayer, P. Bourges, Y. Sidis, J. T. Park, A. Ivanov, C. T. Lin, J. Mesot, and B. Keimer, Magnetic-Field-Enhanced Incommensurate Magnetic Order in the Underdoped High-Temperature Superconductor YBa 2 Cu 3 O 6.45
2009
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C. Xu and S. Sachdev, Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: Doubled Chern-Simons theory
2009
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Y. Qi, C. Xu, and S. Sachdev, Dynamics and transport of the Z 2 Z_{2} spin liquid: application to κ \kappa -(ET) 2 Cu 2 (CN) 3
2009
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I. F. Herbut, V. Juričić, and B. Roy, Theory of interacting electrons on the honeycomb lattice
2009
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V. Juričić, I. F. Herbut, and G. W. Semenoff, Coulomb interaction at the metal-insulator critical point in graphene
2009
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L. Fritz and S. Sachdev, Signatures of the nematic ordering transitions in the thermal conductivity of d d -wave superconductors
2009
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S. Sachdev, Where is the quantum critical point in the cuprate superconductors?
2010
Closest in time.
S. Sachdev, Quantum criticality and the phase diagram of the cuprates
2010
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Y. Qi and S. Sachdev, Effective theory of Fermi pockets in fluctuating antiferromagnets
2010
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S. E. Sebastian, N. Harrison, P. A. Goddard, M. M. Altarawneh, C. H. Mielke, Ruixing Liang, D. A. Bonn, W. N. Hardy, O. K. Andersen, and G. G. Lonzarich, Compensated electron and hole pockets in an underdoped high- T c T_{c} superconductor
2010
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R. Daou, J. Chang, D. LeBoeuf, O. Cyr-Choiniere, F. Laliberte, N. Doiron-Leyraud, B. J. Ramshaw, Ruixing Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
2010
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T. Helm, M. V. Kartsovnik, I. Sheikin, M. Bartkowiak, F. Wolff-Fabris, N. Bittner, W. Biberacher, M. Lambacher, A. Erb, J. Wosnitza, and R. Gross, Magnetic Breakdown in the Electron-Doped Cuprate Superconductor Nd 2-x
2010
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S. Nandi, M. G. Kim, A. Kreyssig, R. M. Fernandes, D. K. Pratt, A. Thaler, N. Ni, S. L. Bud’ko, P. C. Canfield, J. Schmalian, R. J. McQueeney, and A. I. Goldman, Anomalous Suppression of the Orthorhombic Lattice Distortion in Superconducting Ba(Fe 1-x
2010
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R. M. Fernandes, D. K. Pratt, W. Tian, J. Zarestky, A. Kreyssig, S. Nandi, M. G. Kim, A. Thaler, N. Ni, S. L. Bud’ko, P. C. Canfield, R. J. McQueeney, J. Schmalian, and A. I. Goldman, Unconventional pairing in the iron arsenide superconductors
2010
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D. J. Scalapino, A Common Thread
2010
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M. A. Metlitksi and S. Sachdev, Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
2010
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M. A. Metlitski and S. Sachdev, Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
2010
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M. A. Metlitski and S. Sachdev, Instabilities near the onset of spin density wave order in metals
2010
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E. G. Moon and S. Sachdev, The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
2011
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