Degenerated ground-states in a spin chain with pair interactions: a characterization by symbolic dynamics. (30th December 2016)

• Record Type: Journal Article
• Authors: Corona, L A; Salgado-García, R
• Is Part Of: Journal of statistical mechanics. (2016:Dec.)
• Publication Date: 2016-12-30
• Subjects: 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa4e5f
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: In this paper we study a class of one-dimensional spin chain having a highly degenerated set of ground-state configurations. The model consists of spin chain having infinite-range pair interactions with a given structure. We show that the set of ground-state configurations of such a model can be fully characterized by means of symbolic dynamics. Particularly we found that the set ground-state configurations define what in symbolic dynamics is called sofic shift space . Finally we prove that this system has a non-vanishing residual entropy (the topological entropy of the shift space), which can be exactly calculated.