6533b7d3fe1ef96bd1260a9d
RESEARCH PRODUCT
Response functions in multicomponent Luttinger liquids
Roberta CitroEdmond Orignacsubject
Statistics and ProbabilityBosonizationFOS: Physical sciences01 natural sciences010305 fluids & plasmassymbols.namesakeIdentity (mathematics)Condensed Matter - Strongly Correlated ElectronsSingularityCorrelation functionLuttinger liquid0103 physical sciencesFeynman diagramLuttinger liquids (theory)010306 general physics71.10.Pm 02.30.Nw 02.30.UuMathematical physicsPhysicsStrongly Correlated Electrons (cond-mat.str-el)Statistical and Nonlinear PhysicsFourier transformsymbolsGravitational singularityStatistics Probability and Uncertaintybosonization[PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]description
We derive an analytic expression for the zero temperature Fourier transform of the density-density correlation function of a multicomponent Luttinger liquid with different velocities. By employing Schwinger identity and a generalized Feynman identity exact integral expressions are derived, and approximate analytical forms are given for frequencies close to each component singularity. We find power-like singularities and compute the corresponding exponents. Numerical results are shown for the case of three components.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-12-20 |