Absence of finite temperature phase transitions in the X-cube model and its \(\mathbb{Z}_p\) generalization

DOI10.1016/j.aop.2019.168018zbMath1432.82013arXiv1812.04561OpenAlexW3101110574MaRDI QIDQ2305739

Gerardo Ortiz, Zack Weinstein, Zohar Nussinov, Emilio Cobanera

Publication date: 16 March 2020

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04561

zbMATH Keywords

quantum memorycondensed matter topologydualities (bond algebraic)gauge like (susbsytem) symmetiesnonlocal order parameters

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Higher-form gauge symmetries in multipole topological phases ⋮ Fracton phases via exotic higher-form symmetry-breaking

Cites Work

• Topological order in an exactly solvable 3D spin model
• Effective and exact holographies from symmetries and dualities
• Anyons in an exactly solved model and beyond
• Duality in \(2+1\) D quantum elasticity: superconductivity and quantum nematic order.
• Generalized global symmetries
• Fault-tolerant quantum computation by anyons
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Sufficient symmetry conditions for Topological Quantum Order
• Parafermionic edge zero modes inZ_n-invariant spin chains
• On thermalization in Kitaev's 2D model
• Unified Approach to Quantum and Classical Dualities
• Time-Dependent Statistics of the Ising Model
• Elements of Phase Transitions and Critical Phenomena

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