Roles of quantum fluctuation in frustrated systems - Order by disorder and reentrant phase transition

S. Tanaka, M. Hirano, S. Miyashita

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

Abstract

Frustration in systems shows many interesting equilibrium and dynamical properties [1-6]. In frustrated classical systems, there is no ground state where all the interactions are satisfied energetically. Because the ground states in regularly frustrated classical systems have many energetically unsatisfied interactions, there are many degenerated ground states and the residual entropy is larger than that of unfrustrated systems. Figure 10.1 shows the ground states of three Ising spins on antiferromagnetic triangle cluster. The closed and open circles in Fig. 10.1 denote up and down spins, respectively. The crosses in Fig. 10.1 represent energetically unsatisfied interactions.

Original languageEnglish
Title of host publicationQuantum Quenching, Annealing and Computation
EditorsAnjan Chandra
Pages215-234
Number of pages20
DOIs
Publication statusPublished - 2010 Sep 1
Externally publishedYes

Publication series

NameLecture Notes in Physics
Volume802
ISSN (Print)0075-8450

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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    Tanaka, S., Hirano, M., & Miyashita, S. (2010). Roles of quantum fluctuation in frustrated systems - Order by disorder and reentrant phase transition. In A. Chandra (Ed.), Quantum Quenching, Annealing and Computation (pp. 215-234). (Lecture Notes in Physics; Vol. 802). https://doi.org/10.1007/978-3-642-11470-0_10