A Subsystem Ginzburg-Landau and SPT Orders Co-existing on a Graph

• URL: http://arxiv.org/abs/2102.10812v1
• Date: Mon, 22 Feb 2021 07:39:19 GMT
• Title: A Subsystem Ginzburg-Landau and SPT Orders Co-existing on a Graph
• Authors: Jintae Kim, Hyun-Yong Lee, and Jung Hoon Han
• Abstract summary: We analyze a model demonstrating the co-existence of subsystem symmetry breaking (SSB) and symmetry-protected topological (SPT) order, or subsystem LSPT order for short. The reason for the exponential growth of the ground state degeneracy is attributed to the existence of subsystem symmetries, which allows one to define both the Landau order parameter and the SPT-like order for each independent loop.
• Score: 1.978587235008588
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze a model demonstrating the co-existence of subsystem symmetry breaking (SSB) and symmetry-protected topological (SPT) order, or subsystem LSPT order for short. Its mathematical origin is the existence of both a subsystem and a local operator, both of which commute with the Hamiltonian but anti-commute between themselves. The reason for the exponential growth of the ground state degeneracy is attributed to the existence of subsystem symmetries, which allows one to define both the Landau order parameter and the SPT-like order for each independent loop.

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