Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient

Abstract

Since its experimental discovery, many phenomenological theories successfully reproduced the rapid rise from $p$ to $1+p$ found in the Hall number $n_H$ at the critical doping $p^{\ast }$ of the pseudogap in superconducting cuprates. Further comparison with experiments is now needed in order to narrow down candidates. In this paper, we consider three previously successful phenomenological theories in a unified formalism---an antiferromagnetic mean field (AF), a spiral incommensurate antiferromagnetic mean field (sAF), and the Yang-Rice-Zhang (YRZ) theory. We find a rapid rise in the specific heat and a rapid drop in the Seebeck coefficient for increasing doping across the transition in each of those models. The predicted rises and drops are locked, not to~$p^{\ast }$, but to the doping where anti-nodal electron pockets, characteristic of each model, appear at the Fermi surface shortly before~$p^{\ast }$. While such electron pockets are still to be found in experiments, we discuss how they could provide distinctive signatures for each model. We also show that the range of doping where those electron pockets would be found is strongly affected by the position of the van~Hove singularity.

References in corpus (45)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• A Phenomenological Theory of The Pseudogap State
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Dynamical Breakup of the Fermi Surface in a doped Mott Insulator
• Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Anisotropic Scattering and Anomalous Transport in a High Temperature Superconductor
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Modeling the Fermi arc in underdoped cuprates
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Thermal Transport for Many Body Tight-Binding Models
• Protected nodal electron pocket from multiple-Q ordering in underdoped high temperature superconductors
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates
• Thermopower across the pseudogap critical point of La(1.6-x)Nd(0.4)Sr(x)CuO(4): Evidence for a quantum critical point in a hole-doped high-Tc superconductor
• Negative Hall coefficients of heavily overdoped La2-xSrxCuO4
• Violation of the isotropic-$\ell$ approximation in overdoped La_{2-x}Sr_xCuO_4
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Specific heat of underdoped cuprates: RVB versus Fermi arcs
• Effective SU(2) theory for the pseudogap state
• Pseudogap and superconductivity in two-dimensional doped charge-transfer insulators
• Origin of the metal-to-insulator crossover in cuprate superconductors
• Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• The Hall number across a van Hove singularity
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Electron pockets and pseudogap asymmetry observed in the thermopower of underdoped cuprates
• Thermodynamic properties of Bi2Sr2CaCu2O8 calculated from the electronic dispersion
• In-plane anisotropy on the transport properties in the modulated Bi_2O_2-based conductors Bi-2212 and Bi-Sr-Co-O
• Signatures of a momentum independent pseudogap in the electronic density of states and Raman spectroscopy of the underdoped cuprates
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Theory of anomalous magnetotransport from mass anisotropy
• Impurity induced resistivity upturns in underdoped cuprates

Cited by in corpus (28)

• Thermodynamic signatures of quantum criticality in cuprates
• Three-Dimensional Fermi Surface of Overdoped La-Based Cuprates
• Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates
• Normal state specific heat in the cuprates La${}_{2-x}$Sr${}_x$CuO${}_4$ and Bi${}_{2+y}$Sr${}_{2-x-y}$La${}_x$CuO${}_{6+\delta }$ near the critical point of the pseudogap phase
• Seebeck coefficient in a cuprate superconductor: particle-hole asymmetry in the strange metal phase and Fermi surface transformation in the pseudogap phase
• Longitudinal and anomalous Hall conductivity of a general two-band model
• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Longitudinal conductivity and Hall coefficient in two-dimensional metals with spiral magnetic order
• Thermopower across the phase diagram of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ : signatures of the pseudogap and charge-density-wave phases
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Transport signatures of the pseudogap critical point in the cuprate superconductor Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• DC Hall coefficient of the strongly correlated Hubbard model
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• Hall and Faraday effects in interacting multi-band systems with arbitrary band topology and spin-orbit coupling
• The phase diagram of the underdoped cuprates at high magnetic field
• Hall effect in cuprates with incommensurate spin-density wave
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Spiral to stripe transition in the two-dimensional Hubbard model
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Carrier density crossover and quasiparticle mass enhancement in a doped 5$d$ Mott insulator
• Quantum Geometric Origin of the Intrinsic Nonlinear Hall Effect
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• Fermi arcs vs hole pockets: periodization of a cellular two-band model
• The Future of the Correlated Electron Problem
• Magnetotransport in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: a Fermi liquid approach