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

Ryoji Miyazaki and Hidetoshi Nishimori
Phys. Rev. E 87, 032154 – Published 25 March 2013

Abstract

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

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  • Received 18 October 2012

DOI:https://doi.org/10.1103/PhysRevE.87.032154

©2013 American Physical Society

Authors & Affiliations

Ryoji Miyazaki and Hidetoshi Nishimori

  • Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan

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Issue

Vol. 87, Iss. 3 — March 2013

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