By the finite-size scaling technique, the dynamical critical exponent of the one-dimensional random transverse-Ising model is evaluated. The finite-size scaling of the average and the distribution of the energy gap in each sample are also discussed. The exponent seems to vary depending on the...

The quantum transfer-matrix (QTM) method is reviewed and thermo-quantum dynamics is formulated on the basis of the QTM. The free energy of the relevant quantum system (e.g. the one-dimensional Heisenberg model) is expressed only in terms of the maximum eigenvalue λmax of the QTM. Even the...