Superconducting fluctuations in the Luther-Emery liquid

Abstract

The single-particle superconducting Green's functions of a Luther-Emery liquid is computed by bosonization techniques. Using a formulation introduced by Poilblanc and Scalapino [Phys. Rev. B v. 66, art. 052513 (2002)], an asymptotic expression of the superconducting gap is deduced in the long wavelength and small frequency limit. Due to superconducting phase fluctuations, the gap exhibits as a function of size L a (1/L)^{1/2K_ρ} power-law decay as well as an interesting singularity at the spectral gap energy. Similarities and differences with the 2-leg t-J ladder are outlined.

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Cited by in corpus (11)

• An exactly solvable model of the BCS-BEC crossover
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Superconducting gap for a 2-leg t-J ladder
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Bosonization and density-matrix renormalization group studies of Fulde-Ferrell-Larkin-Ovchinnikov phase and irrational magnetization plateaus in coupled chains
• Dynamical response functions in the quantum Ising chain with a boundary
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Phase transitions in the boson-fermion resonance model in one dimension
• The Gap Function Phi(k,w) for a Two-leg t-J Ladder and the Pairing Interaction
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Exact ground states for the four-electron problem in a Hubbard ladder