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

Shu 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 publicationLecture Notes in Physics
Pages215-234
Number of pages20
Volume802
DOIs
Publication statusPublished - 2010
Externally publishedYes

Publication series

NameLecture Notes in Physics
Volume802
ISSN (Print)00758450

Fingerprint

disorders
ground state
interactions
frustration
triangles
entropy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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

Roles of quantum fluctuation in frustrated systems - Order by disorder and reentrant phase transition. / Tanaka, Shu; Hirano, M.; Miyashita, S.

Lecture Notes in Physics. Vol. 802 2010. p. 215-234 (Lecture Notes in Physics; Vol. 802).

Research output: Chapter in Book/Report/Conference proceedingChapter

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