Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders

Abstract

Starting from an array of four-leg Hubbard ladders weakly doped away from half-filling and weakly coupled by inter-ladder tunneling, we derive an effective low energy model which contains a partially truncated Fermi surface and a well defined Cooperon excitation formed by a bound pair of holes. An attractive interaction in the Cooper channel is generated on the Fermi surface through virtual scattering into the Cooperon state. Although the model is derived in the weak coupling limit of a four-leg ladder array, an examination of exact results on finite clusters for the strong coupling t-J model suggests the essential features are also present for a strong coupling Hubbard model on a square lattice near half-filling.

20 pages, 4 figures

References in corpus (15)

• A Phenomenological Theory of The Pseudogap State
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit
• "Bad Metal" Conductivity of Hard Core Bosons
• Phenomenological description of the two energy scales in underdoped superconducting cuprates
• Signatures of Fermi surface reconstruction in Raman spectra of underdoped cuprates
• d-Mott phases in one and two dimensions
• Effect of pseudogap formation on the penetration depth of underdoped high $T_c$ cuprates
• Specific heat of underdoped cuprates: RVB versus Fermi arcs
• Phenomenological theory of the underdoped phase of a high-T${}_c$ superconductor
• Bipairing and the Stripe Phase in 4-Leg Ladders
• Magnetic Excitations of Stripes and Checkerboards in the Cuprates
• Spin-liquid model of the sharp resistivity drop in $L{a}_{1.85}B{a}_{0.125}Cu{O}_4$
• Modelling Magnetic Fluctuations in the Stripe Ordered State
• Incompatibility of modulated checkerboard patterns with the neutron scattering resonance peak in cuprate superconductors

Cited by in corpus (12)

• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Phase diagram and a possible unified description of intercalated iron selenide superconductors
• Two-leg SU(2n) spin ladder: A low-energy effective field theory approach
• Diagrammatic Quantum Monte Carlo solution of the two-dimensional Cooperon-Fermion model
• Enhanced Josephson tunneling between high temperature superconductors through a normal pseudogap underdoped cuprate with a finite energy cooperon
• Introduction to High-Temperature Superconductivity for Solid State Chemists