Phase separation and three-site hopping in the two-dimensional t-J model

@article{Ercolessi1997PhaseSA,
  title={Phase separation and three-site hopping in the two-dimensional t-J model},
  author={Elisa Ercolessi and Pierbiagio Pieri and Marco Roncaglia},
  journal={Physics Letters A},
  year={1997},
  volume={233},
  pages={451-456}
}
Ground-state phase diagram of the one-dimensional t−J model with pair hopping terms
The $t$–$J$ model is a standard model of strongly correlated electrons, often studied in the context of high-$T_c$ superconductivity. However, most studies of this model neglect three-site terms,
Competing orders in the Hofstadter t -J model
The Hofstadter model describes noninteracting fermions on a lattice in the presence of an external magnetic field. Motivated by the plethora of solid-state phases emerging from electron interactions,
Utilization of Renormalized Mean-Field Theory upon Novel Quantum Materials
TLDR
This thesis is aiming in utilizing the strongly correlated t-J Hamiltonian for better understanding the microscopic pictures of certain condensed matter scenario and presents one of the methods called renormalized mean-field theory (RMFT) and exploit it upon the t- J model.
Renormalized Mean Field Theory
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To deal with the issues mentioned in the previous chapter, we chose to follow certain numerical approaches. Like the protocol most of us would follow when encountering a physical scenario, one

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Hole-density correlation functions in the t-J model on lattices with square geometry are studied by the method of exact diagonalisation for systems of various sizes with up to 26 sites, showing clear evidence for hole-clustering instabilities.
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TLDR
The phase diagram of the 2D {ital t}-{ital J} model is investigated using high-temperature expansions and a region of divergent uniform magnetic susceptibility is found.
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