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Charge Stripes Due to Electron Correlations in the Two-Dimensional Spinless Falicov—Kimball Model

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Abstract

We calculate the restricted phase diagram for the Falicov–Kimball model on a two-dimensional square lattice. We consider the limit where the average conduction electron density is equal to the average localized electron density, which is the limit related to the S z =0 states of the Hubbard model. After considering over 20,000 different candidate phases (with a unit cell of 16 sites or less) and their thermodynamic mixtures, we find only about 100 stable phases in the ground-state phase diagram, where the ground state is usually the phase separated mixture of two or three stable phases, that often have different electron densities than in the Maxwell-constructed mixture. We analyze these phases to describe where stripe phases occur and relate these discoveries (were appropriate) to the physics behind stripe formation in the Hubbard model.

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Authors and Affiliations

  1. Institute of Low Temperature and Structure Research, Polish Academy of Sciences, Wrocław, Poland

    R. Lemański

  2. Department of Physics, Georgetown University, Washington, District of Columbia, 20057

    J. K. Freericks

  3. Daresbury Laboratory, Cheshire, WA4 4AD, Daresbury, United Kingdom

    G. Banach

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  1. R. Lemański
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  2. J. K. Freericks
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  3. G. Banach
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Lemański, R., Freericks, J.K. & Banach, G. Charge Stripes Due to Electron Correlations in the Two-Dimensional Spinless Falicov—Kimball Model. Journal of Statistical Physics 116, 699–718 (2004). https://doi.org/10.1023/B:JOSS.0000037213.25834.33

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