Parafermionic edge zero modes inZn-invariant spin chains

DOI10.1088/1742-5468/2012/11/P11020zbMath1456.82125arXiv1209.0472OpenAlexW3121302533MaRDI QIDQ3301302

Paul Fendley

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0472

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (18)

Constructing edge zero modes through domain wall angle conservation ⋮ Signatures of non-Abelian anyons in the thermodynamics of an interacting fermion model ⋮ Disorder operators and their descendants ⋮ Zero-mode entanglement across a conformal defect ⋮ Frustration-free Hamiltonians supporting Majorana zero edge modes ⋮ The boundary phase transitions of the 2+1D \(\mathbb{Z}_N\) topological order via topological Wick rotation ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Topological and symmetry broken phases ofZ_Nparafermions in one dimension ⋮ Singular dynamics and emergence of nonlocality in long-range quantum models ⋮ Long coherence times for edge spins ⋮ Local unitary representation of braids and N-qubit entanglements ⋮ Reflection positive doubles ⋮ Reflection positivity for parafermions ⋮ De Finetti theorems for braided parafermions ⋮ Z_nclock models and chains ofso(n)₂non-Abelian anyons: symmetries, integrable points and low energy properties ⋮ Absence of finite temperature phase transitions in the X-cube model and its \(\mathbb{Z}_p\) generalization ⋮ Quantum clock models with infinite-range interactions ⋮ A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain

Cites Work

• Unnamed Item
• Anyons in an exactly solved model and beyond
• The Many Faces of the Chiral Potts Model
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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