The 1D Ising model and the topological phase of the Kitaev chain

DOI10.1016/j.aop.2014.08.013zbMath1360.82022arXiv1402.5262OpenAlexW3106409193WikidataQ59335026 ScholiaQ59335026MaRDI QIDQ527693

Vera Schnells, Martin Greiter, Ronny Thomale

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1402.5262

zbMATH Keywords

Ising modelorder parametertopological orderKitaev wireP-wave superconductorsymmetry protected topological phases

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Lie-Schwinger block-diagonalization and gapped quantum chains ⋮ Efficient inference in the transverse field Ising model ⋮ Topological Phase Transition and Phase Diagrams in a Two‐Leg Kitaev Ladder System ⋮ Generating quantum states through spin chain dynamics ⋮ Topological phase transitions and Majorana zero modes induced by the periodic potential in an antiferromagnetic chain ⋮ Spread complexity and topological transitions in the Kitaev chain ⋮ Duality and topology

Cites Work

• Unnamed Item
• Unnamed Item
• Mapping of parent Hamiltonians. From abelian and non-abelian quantum Hall states to exact models of critical spin chains.
• Anyons in an exactly solved model and beyond
• Fault-tolerant quantum computation by anyons
• Is electromagnetic gauge invariance spontaneously violated in superconductors?
• Topological and symmetry broken phases ofZ_Nparafermions in one dimension
• Calculation of reduced density matrices from correlation functions

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