Phase Diagram of Mixed-Dimensional Anisotropic t-J-Models

Abstract

We study the phase diagram of two different mixed-dimensional $t-J_z-J_{\perp }$-models on the square lattice, in which the hopping amplitude $t$ is only nonzero along the $x$-direction. In the first, bosonic, model, the spin exchange amplitude $J_{\perp }$ is negative and isotropic along the $x$ and $y$ directions of the lattice, and $J_z$ is isotropic and positive. The low-energy physics is characterized by spin-charge separation: the holes hop as free fermions in an easy-plane ferromagnetic background. In the second model, $J_{\perp }$ is restricted to the $x$-axis while $J_z$ remains isotropic and positive. The model is agnostic to particle statistics, and shows stripe patterns with anti-ferromagnetic N{é}el order at low temperature and high hole concentrations, in resemblance of the mixed-dimensional $t-J_z$ and $t-J$ models. At lower hole concentration, a very strong first order transition and hysteresis loop is seen extending to a remarkably high 14(1)% hole doping.

8 pages, 9 figures

References in corpus (10)

• Theory of Intertwined Orders in High Temperature Superconductors
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Updated Core Libraries of the ALPS Project
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
• Z2 parton phases in the mixed-dimensional $t-J_z$ model
• Phase diagram of anisotropic boson t-J model

Cited by in corpus (1)

• Formation of stripes in a mixed-dimensional cold-atom Fermi-Hubbard system