Correlation functions of XX0 Heisenberg chain, \(q\)-binomial determinants, and random walks

DOI10.1016/j.nuclphysb.2013.12.010zbMath1284.82016arXiv1401.7624OpenAlexW2028533534MaRDI QIDQ2440316

Yanyan Li

Publication date: 27 March 2014

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

Full work available at URL: https://arxiv.org/abs/1401.7624

zbMATH Keywords

random walksSchur functionboxed plane partition\(q\)-binomial determinantXX0 Heisenberg chain

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Statistical thermodynamics (82B30)

Related Items (13)

The five-vertex model and enumerations of plane partitions ⋮ Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions ⋮ Combinatorial aspects of correlation functions of the XXZ Heisenberg chain in limiting cases ⋮ Multi-dimensional random walks and integrable phase models ⋮ Cauchy-binet determinantal identity and enumeration of plane partitions in a high box ⋮ The phase model and the norm-trace generating function of plane partitions ⋮ Enumerative combinatorics of \textit{XX0} Heisenberg chain ⋮ The asymptotics of plane partitions with fixed volumes of diagonal parts ⋮ Combinatorics of a strongly coupled boson system ⋮ The ground-state vector of the XY Heisenberg chain and the Gauss decomposition ⋮ Zero range process and multi-dimensional random walks ⋮ How to draw a correlation function ⋮ Correlation functions as nests of self-avoiding paths

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