Hidden XY structure of the bond-charge Hubbard model

Abstract

The repulsive one-dimensional Hubbard model with bond-charge interaction (HBC) in the superconducting regime is mapped onto the spin-1/2 XY model with transverse field. We calculate correlations and phase boundaries, realizing an excellent agreement with numerical results. The critical line for the superconducting transition is shown to coincide with the analytical factorization line identifying the commensurate-incommensurate transition in the XY model.

4 pages, 3 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group
• Phase Diagram of the Extended Hubbard Model with Correlated Hopping Interaction
• 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
• Nanoscale phase separation and superconductivity in the one-dimensional Hirsch model
• Phase separation in fermionic systems with particle-hole asymmetry
• Phase diagram of imbalanced strongly interacting fermions on a one-dimensional optical lattice

Cited by in corpus (4)

• Thermometry Precision in Strongly Correlated Ultracold Lattice Gases
• Non-local order parameters for the 1D Hubbard model
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• FFLO oscillations and magnetic domains in the Hubbard model with off-diagonal Coulomb repulsion