Green’s-function Monte Carlo for lattice fermions: Application to the t − J model

  title={Green’s-function Monte Carlo for lattice fermions: Application to the t − J model},
  author={C. Stephen Hellberg and Efstratios Manousakis},
  journal={Physical Review B},
We develop a general numerical method to study the zero temperature properties of strongly correlated electron models on large lattices. The technique, which resembles Green’s Function Monte Carlo, projects the ground state component from a trial wave function with no approximations. We use this method to determine the phase diagram of the two-dimensional t-J model, using the Maxwell construction to investigate electronic phase separation. The shell effects of fermions on finite-sized periodic… 
Finite-size effects in transport data from quantum Monte Carlo simulations
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Phase diagram of the two-dimensional t-J model at low doping.
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The phase diagram of the planar t--J model at small hole doping is investigated by finite size scaling of exact diagonalisation data of NXN clusters (up to 26). Hole-droplet binding energies,
Ferromagnetism in the two-dimensional t-J model.
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The behavior of the Drude weight is studied in the small-J/t regime of the t-J model by Lanczos diagonalizations of small clusters with arbitrary boundary conditions and a small number of holes and indicates a sharp transition around J/t∼0.1.
Aspects of the phase diagram of the two-dimensional t-J model.
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.
Quantum Many-Particle Systems
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Gfmc for latticle fermions
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