Quantum Monte Carlo simulations of the Hubbard model containing off-diagonal hopping
Wengang Lü, Zhenghuang Shu, Jinming Dong +1 more
We extend a Quantum Monte Carlo (QMC) algorithm to the Hubbard model containing bond-dependent off-diagonal hoppings, which describes the manganites and other similar systems, such as systems with spin-flip hoppings. To show correctness of this extension, we detect two simple examples of one-dimensional chains. The first one is half-filled and the hopping matrixes between arbitrary nearest neighboring pairs are uniform, i.e., ${t}_{i,i+1}{=t}_{i+1,i+2}$ $(i=1,2,3,\dots{}).$ The other one is quarter-filled and the hopping matrixes alternate every four lattice constants with ${t}_{i,i+1}{=t}_{i+1,i+2}\ensuremath{\ne}{t}_{i+2,i+3}{=t}_{i+3,i+4}$ $(i=1,5,9,\dots{}).$ Results of the two examples are reasonable.
Physical review. B, Condensed matter•Dec 5, 2002•1 citation