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A Relation Between Disorder Chaos and Incongruent States in Spin Glasses on Zd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc -
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- Publisher
- Springer International Publishing
- Copyright
- © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
- ISBN
- 978-3-030-60753-1
- Pages
- 17 –25
- DOI
- 10.1007/978-3-030-60754-8_2
- Publisher site
- See Chapter on Publisher Site
Abstract
[An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then fluctuations in their energy differences—and therefore the possibility of multiple ground states—are closely related to the stability of their ground states. Here we examine the stability of ground states in two models, one of which is presumed to have a ground state structure that is qualitatively similar to other realistic short-range spin glasses in finite dimensions.]
Published: Nov 4, 2020
Keywords: Spin glass; Highly disordered model; Strongly disordered model; Critical droplets