Dynamical functions of a 1D correlated quantum liquid

J. M P Carmelo, D. Bozi, K. Penc

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The dynamical correlation functions in one-dimensional electronic systems show power-law behaviour at low energies and momenta close to integer multiples of the charge and spin Fermi momenta. These systems are usually referred to as Tomonaga-Luttinger liquids. However, near well defined lines of the (k,ω) plane the power-law behaviour extends beyond the low-energy cases mentioned above, and also appears at higher energies, leading to singular features in the photoemission spectra and other dynamical correlation functions. The general spectral-function expressions derived in this paper were used in recent theoretical studies of the finite-energy singular features in photoemission of the organic compound tetrathiafulvalene-tetracyanoquinodimethane (TTF-TCNQ) metallic phase. They are based on a so-called pseudofermion dynamical theory (PDT), which allows us to systematically enumerate and describe the excitations in the Hubbard model starting from the Bethe ansatz, as well as to calculate the charge and spin object phase shifts appearing as exponents of the power laws. In particular, we concentrate on the spin-density limit and on effects in the vicinity of the singular border lines, as well as close to half filling. Our studies take into account spectral contributions from types of microscopic processes that do not occur for finite values of the spin density. In addition, the specific processes involved in the spectral features of TTF-TCNQ are studied. Our results are useful for the further understanding of the unusual spectral properties observed in low-dimensional organic metals and also provide expressions for the one-and two-atom spectral functions of a correlated quantum system of ultracold fermionic atoms in a 1D optical lattice with on-site two-atom repulsion.

Original languageEnglish
Article number415103
JournalJournal of Physics Condensed Matter
Volume20
Issue number41
DOIs
Publication statusPublished - Oct 15 2008

Fingerprint

Liquids
Photoemission
liquids
Atoms
Momentum
photoelectric emission
Optical lattices
momentum
atoms
Hubbard model
energy
organic compounds
borders
Organic compounds
Phase shift
integers
phase shift
Metals
exponents
electronics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Materials Science(all)

Cite this

Dynamical functions of a 1D correlated quantum liquid. / Carmelo, J. M P; Bozi, D.; Penc, K.

In: Journal of Physics Condensed Matter, Vol. 20, No. 41, 415103, 15.10.2008.

Research output: Contribution to journalArticle

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