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 .
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Received 19 August 1998
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Nishiyama, Y. Numerical diagonalization analysis of the ground-state superfluid-localization transition in two dimensions. Eur. Phys. J. B 9, 215–223 (1999). https://doi.org/10.1007/s100510050759
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DOI: https://doi.org/10.1007/s100510050759