Numerical diagonalization analysis of the ground-state superfluid-localization transition in two dimensions |
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Authors: | Y Nishiyama |
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Institution: | (1) Department of Physics, Faculty of Science, Okayama University, Okayama 700-8530, Japan, JP |
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Abstract: | Ground state of the two-dimensional hard-core-boson system in the presence of the quenched random chemical potential is investigated
by means of the exact-diagonalization method for the system sizes up to L=5. The criticality and the DC conductivity at the superfluid-localization transition have been controversial so far. We estimate,
with the finite-size scaling analysis, the correlation-length and the dynamical critical exponents as and z=2, respectively. The AC conductivity is computed with the Gagliano-Balseiro formula, with which the resolvent (dynamical
response function) is expressed in terms of the continued-fraction form consisting of Lanczos tri-diagonal elements. Thereby,
we estimate the universal DC conductivity as .
Received 19 August 1998 |
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Keywords: | PACS 75 10 Jm Quantized spin models - 75 10 Nr Spin-glass and other random models - 75 40 Mg Numerical simulation studies |
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