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Critical droplets and replica symmetry breaking
- Source :
- Frontiers in Physics, Vol 12 (2024)
- Publication Year :
- 2024
- Publisher :
- Frontiers Media S.A., 2024.
-
Abstract
- We show that the notion of critical droplets is central to an understanding of the nature of ground states in the Edwards–Anderson–Ising model of a spin glass in arbitrary dimensions. Given a specific ground state, we suppose that the coupling value for a given edge is varied with all other couplings held fixed. Beyond some specific value of the coupling, a droplet will flip, leading to a new ground state; we refer to this as the critical droplet for that edge and ground state. We show that the distribution of sizes and energies over all edges for a specific ground state can be used to determine which of the leading scenarios for the spin glass phase is correct. In particular, the existence of low-energy interfaces between incongruent ground states, as predicted by replica symmetry breaking, is equivalent to the presence of critical droplets, whose boundaries comprise a positive fraction of edges in the infinite lattice.
Details
- Language :
- English
- ISSN :
- 2296424X
- Volume :
- 12
- Database :
- Directory of Open Access Journals
- Journal :
- Frontiers in Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.fd623d1edaf24fa580ad2d7569cf5e29
- Document Type :
- article
- Full Text :
- https://doi.org/10.3389/fphy.2024.1473378