Nanoscale phase separation and superconductivity in the one-dimensional Hirsch model

Abstract

We investigate numerically at various fillings the ground state of the one-dimensional Hubbard model with correlated hopping x (Hirsch model). It is found that, for a wide range of filling values n around half filling, and for repulsive Coulomb interaction u\leq u_c(x,n), phase separation at a nanoscale (NPS phase) between two conducting phases at different densities occurs when x\gtrsim 2/3. The NPS phase is accompanied by the opening of a spin gap and the system behaves as a Luther-Emery Liquid with dominant superconducting correlations. Close to half filling, an anomalous peak emerges in the charge structure factor related to the density of doubly occupied sites, which determines the size of the droplets in the NPS phase. For 1/2\lesssim x\lesssim 2/3 a crossover to a homogeneous phase, still superconducting, takes place.

9 pages, 10 figures

References in corpus (18)

• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Evidence for two energy scales in the superconducting state of optimally doped (Bi,Pb)2(Sr,La)2CuO6+d
• $\eta$-pairing as a mechanism of superconductivity in models of strongly correlated electrons
• Phase diagram of the one-dimensional extended Hubbard model with attractive and/or repulsive interactions at quarter filling
• Phase Diagram of the Extended Hubbard Model with Correlated Hopping Interaction
• A model for the phase separation controlled by doping and the internal chemical pressure in different cuprate superconductors
• Possible Exotic Phases in the One-Dimensional Extended Hubbard Model
• Charge fluctuations close to phase separation in the two dimensional t-J model
• Phase Diagrams from Topological Transitions: The Hubbard Chain with Correlated Hopping
• Single-site entanglement at superconductor-insulator transition in the Hirsch model
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
• On the Liaison Between Superconductivity and Phase Separation
• Finite-temperature properties of the Hubbard chain with bond-charge interaction
• Results on the symmetries of integrable fermionic models on chains
• Pair correlation functions in one-dimensional correlated-hopping models
• Thermodynamic properties and thermal correlation lengths of a Hubbard model with bond-charge interaction

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