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 (5)

• Many-Body Physics with Ultracold Gases
• 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