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Disorder effects in the quantum Heisenberg model: An Extended Dynamical mean-field theory analysis | | S. Burdin
; D. R. Grempel
; M. Grilli
; | | Date: |
10 Jan 2007 | | Subject: | Disordered Systems and Neural Networks; Strongly Correlated
Electrons | | Abstract: | We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem that we solve by using a quantum Monte Carlo algorithm. We consider both two- and three-dimensional antiferromagnetic spin fluctuations and systematically analyze the effect of disorder. We find that in three dimensions for any small amount of disorder a spin-glass phase is realized. In two dimensions, while clean systems display the properties of a highly correlated spin-liquid (where the local spin susceptibility has a non-integer power-low frequency and/or temperature dependence), in the present case this behavior is more elusive unless disorder is very small. This is because the spin-glass transition temperature leaves only an intermediate temperature regime where the system can display the spin-liquid behavior, which turns out to be more apparent in the static than in the dynamical susceptibility. | | Source: | arXiv, cond-mat/0701211 | | Services: | Forum | Review | PDF | Favorites | |
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