Phenomenological theory of the underdoped phase of a high-T${}_c$ superconductor

Abstract

We model the Fermi surface of the cuprates by one-dimensional nested parts near $(0,\pi )$ and $(\pi ,0)$ and unnested parts near the zone diagonals. Fermions in the nested regions form 1D spin liquids, and develop spectral gaps below some $\sim T^{\ast }$, but superconducting order is prevented by 1D phase fluctuations. We show that the Josephson coupling between order parameters at $(0,\pi )$ and $(\pi ,0)$ locks their relative phase at a crossover scale $T^{\ast \ast }<T^{\ast }$. Below $T^{\ast \ast }$, the system response becomes two-dimensional, and the system displays Nernst effect. The remaining total phase gets locked at $T_c<T^{\ast \ast }$, at which the system develops a (quasi-) long-range superconducting order.

arXiv comment4 pages, 1 figure; typos corrected, references added

References in corpus (24)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• The Nernst effect in high-$T_c$ superconductors
• Spin-Gap Proximity Effect Mechanism of High Temperature Superconductivity
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• On the superconductivity in the system with preformed pairs
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• d-wave superconductivity near charge instabilities
• Sliding Luttinger liquid phases
• Novel neutron resonance mode in $d_{x^2-y^2}$ superconductors
• Two-gap model for underdoped cuprate superconductors
• Superconductivity and Charge Density Wave in a Quasi-One-Dimensional Spin Gap System
• Spinons in a Crossed-Chains Model of a 2D Spin Liquid
• Nodal quasi-particles and coexisting orders in striped superconductors
• Nodal Quasiparticle Lifetimes in Cuprate Superconductors
• d-Mott phases in one and two dimensions
• Fine Details of the Nodal Electronic Excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Spin susceptibility of underdoped cuprates: the case of Ortho-II YBa_2Cu_3O_{6.5}
• Inelastic scattering rates in d-wave superconductors
• Self-energy of a nodal fermion in a d-wave superconductor

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• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Modeling the Fermi arc in underdoped cuprates
• First-Matsubara-frequency rule in a Fermi liquid. Part II: Optical conductivity and comparison to experiment
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• Effective SU(2) theory for the pseudogap state
• q-Dependence of the giant bond-stretching phonon anomaly in the stripe compound La1.48Nd0.4Sr0.12CuO4 measured by IXS
• Spin-liquid model of the sharp resistivity drop in $L{a}_{1.85}B{a}_{0.125}Cu{O}_4$
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Strongly Correlated Superconductivity rising from a Pseudo-gap Metal
• Signatures of a momentum independent pseudogap in the electronic density of states and Raman spectroscopy of the underdoped cuprates
• Checkerboard superconducting order and antinodal Bogoliubov quasiparticle interference
• Friedel oscillations of Density of States in a one-dimensional Mott insulator and Incommensurate Charge Density Wave/Superconductor
• A model description of the supersolid state in YBCO