On relations between one-dimensional quantum and two-dimensional classical spin systems

Joanna Hutchinson, Jon Keating, Francesco Mezzadri

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)
313 Downloads (Pure)

Abstract

We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems characterised by long-range interactions and with critical properties equivalent to those of the class of one-dimensional quantum systems treated by the authors in a previous publication. In particular, we use three approaches: the Trotter-Suzuki mapping; the method of coherent states; and a calculation based on commuting the quantum Hamiltonian with the transfer matrix of a classical system. This enables us to establish universality of certain critical phenomena by extension from the results in the companion paper for the classical systems identified.
Original languageEnglish
Article number652026
Number of pages18
JournalAdvances in Mathematical Physics
Volume2015
DOIs
Publication statusPublished - 16 Dec 2015

Fingerprint Dive into the research topics of 'On relations between one-dimensional quantum and two-dimensional classical spin systems'. Together they form a unique fingerprint.

Cite this