Wentzel-Bardeen singularity in coupled Luttinger liquids: Transport properties

Conference · Fri Aug 26 04:00:00 EDT 1994

OSTI ID:10186582

Martin, T

The recent progress on 1 D interacting electrons systems and their applications to study the transport properties of quasi one dimensional wires is reviewed. We focus on strongly correlated elections coupled to low energy acoustic phonons in one dimension. The exponents of various response functions are calculated, and their striking sensitivity to the Wentzel-Bardeen singularity is discussed. For the Hubbard model coupled to phonons the equivalent of a phase diagram is established. By increasing the filling factor towards half filling the WB singularity is approached. This in turn suppresses antiferromagnetic fluctuations and drives the system towards the superconducting regime, via a new intermediate (metallic) phase. The implications of this phenomenon on the transport properties of an ideal wire as well as the properties of a wire with weak or strong scattering are analyzed in a perturbative renormalization group calculation. This allows to recover the three regimes predicted from the divergence criteria of the response functions.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 10186582
• Report Number(s): LA-UR--94-3148; CONF-9405204--2; ON: DE95000856
• Country of Publication: United States
• Language: English

Related Subjects

665411
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BASIC SUPERCONDUCTIVITY STUDIES
CORRELATION FUNCTIONS
ELECTRON CORRELATION
ELECTRON-PHONON COUPLING
GREEN FUNCTION
HAMILTONIANS
HUBBARD MODEL
NONLINEAR PROBLEMS
SUPERCONDUCTIVITY