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The simplified Hubbard model in one and two dimensions

Thermodynamic and dynamic properties

  • Original Contributions
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Zeitschrift für Physik B Condensed Matter

Abstract

Thermodynamic and dynamic properties of the one and two-dimensional simplified Hubbard model are studied. At zero temperature and half filling, no metal-insulator transition occurs for nonzero couplingU and the system is an antiferromagnetic insulator. The behavior of the gap in the single-particle density of states is investigated as a function ofU, temperature and band fillingp. For weak to intermediate coupling the gap at half filling closes for increasing temperatures. The ground state of doped lattices exhibits a metal-insulator transition at −4d<U c (p)≦−2d (d is the lattice dimensionality) and displays ferromagnetism without long-range order forU>U c . The co-existence for variable temperatures and electron densities of metallic behavior and magnetic and charge-density long-range order is demonstrated. The critical temperature for long-range order is calculated for the half-filled two-dimensional case. Results for the optical conductivity and several thermodynamic properties are presented.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

    Pedro de Vries, Kristel Michielsen & Hans De Raedt

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  1. Pedro de Vries
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  2. Kristel Michielsen
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  3. Hans De Raedt
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de Vries, P., Michielsen, K. & De Raedt, H. The simplified Hubbard model in one and two dimensions. Z. Physik B - Condensed Matter 92, 353–362 (1993). https://doi.org/10.1007/BF01308754

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  • DOI: https://doi.org/10.1007/BF01308754

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