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Related Experiment Videos

Dynamic response of one-dimensional interacting fermions.

M Pustilnik1, M Khodas, A Kamenev

  • 1School of Physics, Georgia Institute of Technology, Atlanta, 30332, USA.

Physical Review Letters
|June 29, 2006
PubMed
Summary

We studied interacting one-dimensional spinless fermions and found their dynamic structure factor exhibits new universal features due to nonlinear dispersion and interactions. The characteristic sharp peak broadens, revealing power-law singularities at interval boundaries.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Low-Dimensional Materials

Background:

  • The Tomonaga-Luttinger model describes interacting one-dimensional spinless fermions.
  • Its dynamic structure factor S(q, omega) typically shows a sharp peak.
  • Nonlinear dispersion relations can alter fundamental quantum properties.

Purpose of the Study:

  • To investigate the dynamic structure factor S(q, omega) of interacting one-dimensional spinless fermions.
  • To explore the impact of a nonlinear dispersion relation on S(q, omega).
  • To identify novel universal features arising from combined nonlinear dispersion and interactions.

Main Methods:

  • Theoretical evaluation of the dynamic structure factor S(q, omega).
  • Analysis of systems with one-dimensional spinless fermions.

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  • Inclusion of nonlinear dispersion relations and inter-particle interactions.

    • Main Results:

    • The characteristic sharp peak of S(q, omega) observed in the Tomonaga-Luttinger model broadens significantly.
    • For fixed momentum, the structure factor becomes finite even at large frequencies.
    • The main spectral weight concentrates within a narrow frequency interval (deltaomega ~ q^2/m).
    • Power-law singularities appear at the boundaries of this interval, with exponents dependent on interaction strength and wave number.

    Conclusions:

    • Nonlinear dispersion and interactions introduce new universal physics in one-dimensional fermion systems.
    • The dynamic structure factor exhibits distinct behaviors compared to standard Tomonaga-Luttinger liquid predictions.
    • The findings provide insights into the spectral properties of interacting quantum systems with complex dispersion.