4.3 Article

Spectral Properties of Interacting One-Dimensional Spinless Fermions

Journal

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 79, Issue 4, Pages -

Publisher

PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.79.043707

Keywords

Bethe ansatz; spectral functions; fermionic statistics; excitations; one dimension

Funding

  1. World Premier International Research Center Initiative on Materials Nanoarchitectonics
  2. University of Tsukuba Research Initiative
  3. Grants-in-Aid for Scientific Research [18340112, 20029004, 20046002, 20046015, 20654034, 20740206, 21740281, 21740285]
  4. Grants-in-Aid for Scientific Research [18340112, 20740206, 20029004, 21740281, 20046015, 21740285] Funding Source: KAKEN

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The spectral properties of the spinless fermion model with nearest-neighbor repulsive interactions on a one-dimensional lattice are investigated using the Bethe ansatz. Although its bulk quantities are exactly the same as those of the spin-1/2 XXZ chain, the difference in the statistics of particles causes substantial effects on spectral features, such as gapless points of dispersion relations and line shapes of spectral functions. In this Letter, we clarify the origin of the differences in spectral features between fermionic and bosonic systems in terms of Bethe ansatz solutions. We also confirm that the two-string solutions have considerable spectral weights in the high-energy regime.

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