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Enhanced compressibility due to repulsive interaction in the Harper model

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2014

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Kraus, Yaacov E.
Berkovits, Richard

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https://doi.org/10.1103/PhysRevB.89.161106
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http://arxiv.org/abs/1311.4711

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Physical Review B. American Physical Society (APS). 2014, 89(16), 161106(R). ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.89.161106

Zusammenfassung

We study the interplay between repulsive interaction and an almost staggered on-site potential in one-dimension. Specifically, we address the Harper model for spinless fermions with nearest-neighbor repulsion, close to half-filling. Using density matrix renormalization group (DMRG), we find that, in contrast to standard behavior, the system becomes more compressible as the repulsive interaction is increased. By generating a low-energy effective model, we unveil the effect of interactions using mean-field analysis: the density of a narrow band around half-filling is anti-correlated with the on-site potential, whereas the density of lower occupied bands follows the potential and strengthens it. As a result, the states around half-filling are squeezed by the background density, their band becomes flatter, and the compressibility increases.

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ISO 690KRAUS, Yaacov E., Oded ZILBERBERG, Richard BERKOVITS, 2014. Enhanced compressibility due to repulsive interaction in the Harper model. In: Physical Review B. American Physical Society (APS). 2014, 89(16), 161106(R). ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.89.161106
BibTex
@article{Kraus2014Enhan-54925,
  year={2014},
  doi={10.1103/PhysRevB.89.161106},
  title={Enhanced compressibility due to repulsive interaction in the Harper model},
  number={16},
  volume={89},
  issn={2469-9950},
  journal={Physical Review B},
  author={Kraus, Yaacov E. and Zilberberg, Oded and Berkovits, Richard},
  note={Article Number: 161106(R)}
}
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