Pseudogap and Fermi-Surface Topology in the Two-Dimensional Hubbard Model

Wú, Wéi; Scheurer, Mathias S.; Chatterjee, Shubhayu; Sachdev, Subir; Georges, Antoine; Ferrero, Michel

doi:10.1103/physrevx.8.021048

Cited by 125 publications

(151 citation statements)

References 87 publications

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“…The arrangement of currents in [31] and in the d-density wave order parameter [32]. The same symmetries and the same problems should occur with generation of Fermi-surfaces through alternating antiferromagnetic order or antiferromagnetic order with gauge-field fluctuations [33][34][35]. The multitudinous Fermi-surfaces generated with charge density waves with various periods have been well documented [5].…”

Section: Hamiltonian In Momentum Basismentioning

confidence: 99%

“…Calculations for the pseudogap have mostly followed the idea of antiferromagnetism or antiferromagnetic fluctuations [34] or mathematically related idea of d-wave density order [32] or fluctuations of gauge fields by themselves [31] or coupled to antiferromagnetism [35]. They all have the problem of several Fermi-surfaces or no Fermi-arc or both.…”

Section: Earlier Theories For the Pseudogapmentioning

confidence: 99%

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Pseudogap and Fermi arcs in underdoped cuprates

Varma

2019

Phys. Rev. B

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The proposed loop-current order in cuprates cannot give the observed pseudogap and the Fermiarcs because it preserves translation symmetry. A modification to a periodic arrangement of the four possible orientations of the order parameter with a large period of between about 12 to 30 lattice constants is proposed and shown in a simple and controlled calculation to give one-particle spectra with every feature as in the ARPES experiments. The results follow from (1) the currents at the boundaries of the periodic domains with similar topology as the Affleck-Marston flux phase, and (2) the mixing introduced by the boundary currents between the states near the erstwhile Fermi-surface and the ghost Fermi-surfaces which are displaced from it by mini-reciprocal vectors. The proposed idea can be ruled out or verified by high resolution diffraction or imaging experiments. It does not run afoul of the variety of different experiments consistent with the loop-current order as well as the theory of the marginal Fermi-liquid and d-wave superconductivity based on quantumcritical fluctuations of the loop current order. 1 arXiv:1903.04699v2 [cond-mat.str-el] The cuprate phase diagram [1] has presented three new phenomena in physics, two new normal states -the strange metal and the pseudogap with Fermi-arcs [2, 3], and the high temperature d-wave superconducting phase. It is now generally accepted that the pseudogap occurs below a phase transition at T * (x) ending at a quantum-critical point as a function of doping x = x c , as was predicted [4]. The strange metal region occurs on the other side of T * (x) and ends in a gradual cross-over to a Fermi-liquid phase. The Fermi-liquid normal phase further supports the existence of a quantum-critical point. Superconductivity occurs in a region of x around the quantum-critical point. This paper is concerned with the unanswered questions about the one-particle spectra in the pseudogap state in the cuprate metals. An angle-dependent gap is observed in ARPES experiments [2, 3] at the erstwhile Fermi-surface (measured above T * (x)) decreasing in magnitude from the (0, π) directions ending in a Fermi-arc -a region with zero gap over a finite angle centered in the (π, π) directions. In the same region of the phase diagram, a tiny closed Fermi-surface, about 2% of that expected by calculated band-structure, is observed in magneto-oscillation experiments at low temperatures and high enough magnetic fields [5]. Refined experiments [6] suggest that such small Fermi-surfaces occur near the diagonal directions where ARPES observes Fermi-arcs. T * (x) does mark the onset of the loop-current ordered state [7] which breaks time-reversal symmetries as well as reflection and rotation symmetries. Seven different experimental techniques [8-17] which test different aspects of such symmetries, are consistent with the occurrence of such a state below T * (x). Quantum critical fluctuations [18] of this state coupled to fermions give in a systematic theory the marginal fermi-liquid [19] universally observed in...

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Section: Hamiltonian In Momentum Basismentioning

confidence: 99%

Section: Earlier Theories For the Pseudogapmentioning

confidence: 99%

Pseudogap and Fermi arcs in underdoped cuprates

Varma

2019

Phys. Rev. B

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“…On the other hand, it has been proposed that the pseudogap can emerge upon doping the Mott insulator without invoking broken symmetry states: Mott localisation and short-range antiferromagnetic correlations form singlet bonds that open a pseudgap [8], whose onset is marked by crossovers in thermodynamic quantities [1,9]. From a theoretical perspective, over the years the numerical solutions of the two-dimensional Hubbard model relevant for these systems support the idea that pseudogap originates from strong correlations [10][11][12][13][14][15].…”

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confidence: 99%

Specific heat maximum as a signature of Mott physics in the two-dimensional Hubbard model

et al. 2019

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Recent experiments on cuprates show that as a function of doping, the normal-state specific heat sharply peaks at the doping δ * , where the pseudogap ends at low temperature. This finding is taken as the thermodynamic signature of a quantum critical point, whose nature has not yet been identified. Here we present calculations for the two-dimensional Hubbard model in the doped Mott insulator regime, which indicate that the specific heat anomaly can arise from the finite temperature critical endpoint of a first-order transition between a pseudogap phase with dominant singlet correlations and a metal. As a function of doping at the temperature of the endpoint, the specific heat diverges. Upon increasing temperature, the peak becomes broader. The diverging correlation length is associated with uniform density fluctuations. No broken symmetries are needed. These anomalies also occur at half-filling as a function of interaction strength, and are relevant for organic superconductors and ultracold atoms. arXiv:1905.02281v1 [cond-mat.str-el]

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“…The hole-doped copper-oxide superconductors have a peculiar phase of the pseudogap at underdoping and temperatures above T c . CDMFT studies have shown that its opening can be related to a topological Lifshitz transition at that the Fermi surface turns from electron-to holelike 59,60 . It can be defined as the point at that the renormalized quasiparticle energy of the K = X/Y points…”

Section: Spectral Properties and Doping Dependencementioning

confidence: 99%

Exactly solvable model of strongly correlated d -wave superconductivity

et al. 2020

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We present an infinite-dimensional lattice of two-by-two plaquettes, the quadruple Bethe lattice, with Hubbard interaction and solve it exactly by means of the cluster dynamical mean-field theory. It exhibits a d-wave superconducting phase that is related to a highly degenerate point in the phase diagram of the isolated plaquette at that the groundstates of the particle number sectors N = 2, 3, 4 cross. The superconducting gap is formed by the renormalized lower Slater peak of the correlated, hole-doped Mott insulator. We engineer parts of the interaction and find that pair hoppings between X/Y -momenta are the main two-particle correlations of the superconducting phase. The suppression of the superconductivity in the overdoped regime is caused by the diminishing of pair hopping correlations and in the underdoped regime by charge blocking. The optimal doping is ∼ 0.15 at which the underlying normal state shows a Lifshitz transition. The model allows for different intraand inter-plaquette hoppings that we use to disentangle superconductivity from antiferromagnetism as the latter requires larger inter-plaquette hoppings. arXiv:1905.12610v1 [cond-mat.str-el]

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Pseudogap and Fermi-Surface Topology in the Two-Dimensional Hubbard Model

Cited by 125 publications

References 87 publications

Pseudogap and Fermi arcs in underdoped cuprates

Pseudogap and Fermi arcs in underdoped cuprates

Specific heat maximum as a signature of Mott physics in the two-dimensional Hubbard model

Exactly solvable model of strongly correlated d -wave superconductivity

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