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.

4 pages, 1 figure; typos corrected, references added

References in corpus (4)

• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Nodal Quasiparticle Lifetimes in Cuprate Superconductors
• d-Mott phases in one and two dimensions
• Inelastic scattering rates in d-wave superconductors

Cited by in corpus (11)

• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Modeling the Fermi arc in underdoped cuprates
• Paired electron pockets in the hole-doped cuprates
• 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
• 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
• Friedel oscillations of Density of States in a one-dimensional Mott insulator and Incommensurate Charge Density Wave/Superconductor