Mapping of parent Hamiltonians. From abelian and non-abelian quantum Hall states to exact models of critical spin chains.

DOI10.1007/978-3-642-24384-4zbMath1235.81001arXiv1109.6104OpenAlexW2498559348MaRDI QIDQ641215

Martin Greiter

Publication date: 21 October 2011

Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6104

zbMATH Keywords

abelian quantum Hall statesexact modelcritical spin chainsnon-abelian quantum Hall states

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Critical phenomena in equilibrium statistical mechanics (82B27) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (7)

Infinite Dimensional Matrix Product States for Long-Range Quantum Spin Models ⋮ Landau level quantization of Dirac electrons on the sphere ⋮ Quantum spin models for the \(\operatorname{SU}(n)_1\) Wess-Zumino-Witten model ⋮ Infinite matrix product states for long-range \(\operatorname{SU}(N)\) spin models ⋮ Conformal field theory and the non-abelian SU(2) _k chiral spin liquid ⋮ Quantum spin Hamiltonians for theSU(2)_kWZW model ⋮ The 1D Ising model and the topological phase of the Kitaev chain

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