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The Hubbard Model: A Computational Perspective [PDF]
Annual Review of Condensed Matter Physics, 2022 The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar importance to correlated electron physics as the Ising model is to statistical mechanics or the fruit fly to biomedical science. Despite its simplicity, the model exhibits an incredible wealth of phases, phase transitions, and exotic correlation phenomena ...
Qin, M. +4 more
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Fermionization and Hubbard models [PDF]
Nuclear Physics B, 1998 We introduce a transformation which allows the fermionization of operators of any one-dimensional spin-chain. This fermionization procedure is independent of any eventual integrable structure and is compatible with it. We illustrate this method on various integrable and non-integrable chains, and deduce some general results.
Dargis, P., Maassarani, Z.
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Ferromagnetism in the Hubbard Model [PDF]
, 2001 18 pages, eps-figures included, in: Band-Ferromagnetism, Eds. K. Baberschke, M. Donath, W. Nolting (Springer, Berlin, in press)
Nolting, W. +3 more
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Annual Review of Condensed Matter Physics, 2022 The repulsive Hubbard model has been immensely useful in understanding strongly correlated electron systems and serves as the paradigmatic model of the field. Despite its simplicity, it exhibits a strikingly rich phenomenology reminiscent of that observed in quantum materials. Nevertheless, much of its phase diagram remains controversial.
Arovas, Daniel P. +3 more
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The Landscape of the Hubbard Model [PDF]
String Theory and Its Applications, 2011 56 pages, 16 figures; TASI and Chandrasekhar lectures; (v3) expanded discussion of phases with Fermi surfaces; (v5) added section on Mott transition on the triangular ...
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Nuclear Physics B, 2016 A modified version of the metallic-phase pseudofermion dynamical theory (PDT) of the 1D Hubbard model is introduced for the spin dynamical correlation functions of the half-filled 1D Hubbard model Mott–Hubbard phase.
J.M.P. Carmelo, T. Čadež
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Itinerant ferromagnetism in narrow-band metals
Condensed Matter Physics, 2021 Since its introduction in 1963, the Hubbard model has becomes one of the most popular models used in the literature to study cooperative phenomena in narrow-band metals (ferromagnetism, metal-insulator transitions, charge-density waves, high-Tc ...
P. Farkašovský
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Analyticity in Hubbard Models [PDF]
Journal of Statistical Physics, 1999 The Hubbard model describes a lattice system of quantum particles with local (on-site) interactions. Its free energy is analytic when βt is small, or βt^2/U is small; here, βis the inverse temperature, U the on-site repulsion and t the hopping coefficient.
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Ising expansion for the Hubbard model [PDF]
Physical Review B, 1995 22 pages, 6 Postscript figures ...
Shi, Zhu-Pei, Singh, Rajiv R. P.
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