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Ising phase transitions and thermodynamics of correlated fermions in a 2D spin-dependent optical lattice

Ising phase transitions and thermodynamics of correlated fermions in a 2D spin-dependent optical lattice

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half-filling, the system undergoes Ising phase transitions upon cooling, leading to the formation of Ising-type antiferromagnetic order for repulsive interactions and charge density wave …