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Sign structure and generalized Marshall theorem for the spin-S t-J chain | | Qing-Rui Wang
; Peng Ye
; | | Date: |
24 Oct 2013 | | Abstract: | The Marshall theorem and the Lieb-Mattis theorem are rigorous statements
concerning the ground state total spin quantum number and the ordering of
excited states for the antiferromagnetic Heisenberg model, respectively. In
this paper, these two theorems are generalized to the one dimensional spin-S
t-J model at arbitrary hole doping concentration {delta}. A series of direct
consequences of the theorems, such as the ground state degeneracy and edge
states, are discussed. A criterion is also proposed for a model to have
removable Z_2 sign structure in a given basis, which can be applied in
constructing a sign-problem-free basis for a Monte Carlo simulation. | | Source: | arXiv, 1310.6496 | | Services: | Forum | Review | PDF | Favorites | |
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