Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions

摘要

The transverse-field Ising models with random exchange interactions in finite dimensions are investigated bynmeans of a real-space renormalization-group method. The scheme yields the exact values of the critical point andncritical exponent ν in one dimension and some previous results in the case of random ferromagnetic interactionsnare reproduced in two and three dimensions. We apply the scheme to spin glasses in transverse fields in two andnthree dimensions, which have not been analyzed very extensively. The phase diagrams and the critical exponentnν are obtained and evidence for the existence of an infinite-randomness fixed point in these models is found.