Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-12-20
Eur. Phys. J. B 58, 291 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
final version as published; with more technical details; we have added a discussion of recent work which appeared after our in
Scientific paper
10.1140/epjb/e2007-00235-y
We calculate the damping gamma_q of collective density oscillations (zero sound) in a one-dimensional Fermi gas with dimensionless forward scattering interaction F and quadratic energy dispersion k^2 / 2 m at zero temperature. For wave-vectors | q| /k_F small compared with F we find to leading order gamma_q = v_F^{-1} m^{-2} Y (F) | q |^3, where v_F is the Fermi velocity, k_F is the Fermi wave-vector, and Y (F) is proportional to F^3 for small F. We also show that zero-sound damping leads to a finite maximum proportional to |k - k_F |^{-2 + 2 eta} of the charge peak in the single-particle spectral function, where eta is the anomalous dimension. Our prediction agrees with photoemission data for the blue bronze K_{0.3}MoO_3.
Kopietz Peter
Pirooznia Peyman
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