Triplet superconductivity in quasi one-dimensional systems

Abstract

We study a Hubbard hamiltonian, including a quite general nearest-neighbor interaction, parametrized by repulsion V, exchange interactions Jz, Jperp, bond-charge interaction X and hopping of pairs W. The case of correlated hopping, in which the hopping between nearest neighbors depends upon the occupation of the two sites involved, is also described by the model for sufficiently weak interactions. We study the model in one dimension with usual continuum-limit field theory techniques, and determine the phase diagram. For arbitrary filling, we find a very simple necessary condition for the existence of dominant triplet superconducting correlations at large distance in the spin SU(2) symmetric case: 4V+J<0. In the correlated hopping model, the three-body interaction should be negative for positive V. We also compare the predictions of this weak-coupling treatment with numerical exact results for the correlated-hopping model obtained by diagonalizing small chains, and using novel techniques to determine the opening of the spin gap.

8 pages, 3 figures

Cited by in corpus (33)

• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Quantum simulation of correlated-hopping models with fermions in optical lattices
• Phase diagram of the Hubbard chain with two atoms per cell
• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
• Engineering interactions and anyon statistics by multicolor lattice-depth modulations
• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• Quantum phase diagram of the generalized ionic Hubbard model for AB${}_n$ chains
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• Superconductivity in Sr${}_2$RuO${}_4$ Mediated by Coulomb Scattering
• The dimerized phase of ionic Hubbard models
• Charge dynamics in the Mott insulating phase of the ionic Hubbard model
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Pairing Correlations in a Generalized Hubbard Model for the Cuprates
• Finite-temperature properties of the Hubbard chain with bond-charge interaction
• Magnetic and orbital ordering of RuO2 planes in RuSr2(Eu,Gd)Cu2O8
• Phase diagram of the $t-t^{\prime }-U$ chain at half filling
• U-J Synergy Effect for the High Tc Superconductors
• Exact thermodynamics of an Extended Hubbard Model of single and paired carriers in competition
• Phase diagram of the t-U-J1-J2 chain at half filling
• The Fermion-ladder Models: Extensions of the Hubbard Model with $\eta$-pairing
• BCS and Attractive Hubbard Model Comparative Study
• Phase diagram of the extended Hubbard chain with charge-dipole interactions
• Charge and spin gaps of the ionic Hubbard model with density-dependent hopping
• Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field
• Thermodynamic properties and thermal correlation lengths of a Hubbard model with bond-charge interaction
• Phase diagram of the $Cu{O}_3$ chains in $YB{a}_{2}C{u}_3{O}_{6+X}$ and $PrB{a}_{2}C{u}_3{O}_{6+X}$
• Theory of electrons with orbital degeneracy
• Phase diagram of the one-dimensional extended attractive Hubbard model for large nearest-neighbor repulsion
• Resonant Driving induced Ferromagnetism in the Fermi Hubbard Model
• Ferromagnetism and doublon localization in a Wannier-Hubbard chain
• Realization of Air-Stable Two-Dimensional Superconductor Nb2Pd3Te5 With Quasi-One-Dimensional Pair Density Modulation