Exactly solvable \(D_N\)-type quantum spin models with long-range interaction

DOI10.1016/j.nuclphysb.2008.11.006zbMath1194.82011arXiv0809.4234OpenAlexW1964650274MaRDI QIDQ993140

Frederico Finkel, Bireswar Basu-Mallick, Artemio González-López

Publication date: 10 September 2010

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

Full work available at URL: https://arxiv.org/abs/0809.4234

zbMATH Keywords

partition functionquantum chaosexactly solvable quantum spin models

Mathematics Subject Classification ID

Quantum chaos (81Q50) Exactly solvable models; Bethe ansatz (82B23) Exactly and quasi-solvable systems arising in quantum theory (81U15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Special quantum systems, such as solvable systems (81Q80)

Related Items (14)

The open Haldane–Shastry chain: thermodynamics and criticality ⋮ Super Rogers-Szegö polynomials associated with \(BC_{N}\) type of Polychronakos spin chains ⋮ Inozemtsev's hyperbolic spin model and its related spin chain ⋮ The spin Sutherland model of \(D_N\) type and its associated spin chain ⋮ Rational quantum integrable systems of \(D_N\) type with polarized spin reversal operators ⋮ A novel class of translationally invariant spin chains with long-range interactions ⋮ Appearance of branched motifs in the spectra of \(BC_N\) type Polychronakos spin chains ⋮ Spectral properties of supersymmetric Polychronakos spin chain associated with \(A_{N - 1}\) root system ⋮ A new perspective on the integrability of Inozemtsev's elliptic spin chain ⋮ Thermodynamics of spin chains of Haldane-Shastry type and one-dimensional vertex models ⋮ Thermodynamics and criticality of supersymmetric spin chains with long-range interactions ⋮ Exact solution of D N-type quantum Calogero model through a mapping to free harmonic oscillators ⋮ Level density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains ⋮ Supersymmetric analogue of \(\mathrm{BC}_{N}\) type rational integrable models with polarized spin reversal operators

Cites Work

• The Calogero-Sutherland model and polynomials with prescribed symmetry
• Haldane-Shastry spin chains of \(BC_{N}\) type
• Exact partition function of \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
• An exactly solvable supersymmetric spin chain of \(BC_N\) type
• Operatormethoden für q-identitäten
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• Fractional statistics in one dimension: View from an exactly solvable model
• Multiparameter deformed and non-standard \(Y(\text{gl}_M)\) Yangian symmetry in a novel class of spin Calogero-Sutherland models
• Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions
• Multicomponent Calogero model of \(B_N\)-type confined in a harmonic potential
• Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
• Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
• Exact Spectrum and Partition Function of SU(m|n) Supersymmetric Polychronakos Model
• The physics and mathematics of Calogero particles
• Yang-Baxter equation in long-range interacting systems
• Integrable spin chain with reflecting end
• Quantum versus classical integrability in Calogero$ndash$Moser systems
• Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model
• Integrability of Calogero-Moser Spin System
• Solution of some integrable one-dimensional quantum systems
• Thermodynamics of a One-Dimensional Ideal Gas with Fractional Exclusion Statistics
• Exact Solution of Long-Range Interacting Spin Chains with Boundaries
• Spectrum of a spin chain with inverse square exchange
• Level clustering in the regular spectrum
• Introduction to Lie Algebras and Representation Theory
• New spin Calogero-Sutherland models related to \(B_N\)-type Dunkl operators

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