Integrable models for confined fermions: applications to metallic grains

DOI10.1016/S0550-3213(01)00385-6zbMath0972.82569arXivcond-mat/0105537WikidataQ62582611 ScholiaQ62582611MaRDI QIDQ5945459

Luigi Amico, Antonio Di Lorenzo, Andreas Osterloh

Publication date: 10 October 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0105537

zbMATH Keywords

external magnetic fielddiscrete single particle spectrumelectron-electron interactions

Mathematics Subject Classification ID

Statistical mechanics of metals (82D35)

Related Items (21)

Exact solution of the \(XXZ\) Gaudin model with generic open boundaries ⋮ Integrability of the Russian doll BCS model ⋮ Exactly solvable discrete BCS-type Hamiltonians and the six-vertex model ⋮ Exactly-solvable models derived from a generalized Gaudin algebra ⋮ \(A_{n-1}\) Gaudin model with open boundaries ⋮ Exactly solvable models of quantum nonlinear optics ⋮ Supersymmetry and integrability for a class of XY central spin models ⋮ Classical $r$-matrices, ``elliptic BCS and Gaudin-type Hamiltonians and spectral problem ⋮ Exact solution of the XXX Gaudin model with generic open boundaries ⋮ Separation of variables for integrable spin-boson models ⋮ Non-skew-symmetric classical r-matrices and integrable ``\(p_x +ip_y\) proton-neutron BCS models ⋮ Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms ⋮ Rational r-matrices, higher rank Lie algebras and integrable proton-neutron BCS models ⋮ Generalized Gaudin systems in an external magnetic field and reflection equation algebras ⋮ Integrable spin-boson models descending from rational six-vertex models ⋮ BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS ⋮ On the relationship between the classical Dicke-Jaynes-Cummings-Gaudin model and the nonlinear Schrödinger equation ⋮ Electrostatic analogy for integrable pairing force Hamiltonians ⋮ Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems ⋮ Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems ⋮ Quasi-classical descendants of disordered vertex models with boundaries

Cites Work

• Unnamed Item
• Algebraic Bethe ansatz for the \(XYZ\) Gaudin model
• The BCS model and the off-shell Bethe ansatz for vertex models
• Spectroscopy of discrete energy levels in ultrasmall metallic grains

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