Exact spin quantum Hall current between boundaries of a lattice strip

DOI10.1016/j.nuclphysb.2010.05.019zbMath1206.81156arXiv1004.4037OpenAlexW2031519608MaRDI QIDQ627842

Bernard Nienhuis, Jan De Gier, Anita K. Ponsaing

Publication date: 4 March 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4037

zbMATH Keywords

Knizhnik-Zamolodchikov equationChalker- Coddington modelinhomogeneous solvable lattice modelparafermionic observablessymplectic Toda-lattice wave-function

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum field theory on lattices (81T25) Many-body theory; quantum Hall effect (81V70)

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Type \(\widehat{\mathrm C}\) Brauer loop schemes and loop model with boundaries ⋮ Deformed Kazhdan-Lusztig elements and Macdonald polynomials ⋮ Discrete holomorphicity and integrability in loop models with open boundaries ⋮ The dilute Temperley–Lieb O(n  =  1) loop model on a semi infinite strip: the ground state ⋮ The dilute Temperley–Lieb O(n  =  1) loop model on a semi infinite strip: the sum rule ⋮ Finite-size left-passage probability in percolation ⋮ Separation of variables for symplectic characters ⋮ Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory

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