Tunneling in quantum wires: Exact solution of the spin isotropic case

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.7598· OSTI ID:542648

Lesage, F; Saleur, H; Simonetti, P ^[1]

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1. Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030 (United States)

We show that the problem of impurity tunneling in a Luttinger liquid of electrons with spin is solvable in the spin isotropic case (g{sub {sigma}}=2, g{sub {rho}} arbitrary). The resulting integrable model is similar to a two-channel anisotropic Kondo model, but with the impurity spin in a {open_quotes}cyclic representation{close_quotes} of the quantum algebra su(2){sub q} associated with the anisotropy. Using exact, nonperturbative techniques we study the renormalization-group flow, and compute the dc conductance. As expected from the analysis of Kane and Fisher we find that the IR fixed point corresponds to two separate leads. We also prove an exact duality between the UV and IR expansions of the current at vanishing temperature. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: University of Southern California
• DOE Contract Number: FG03-84ER40168
• OSTI ID: 542648
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 12 Vol. 56; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRIC CONDUCTIVITY
ELECTRON GAS
IMPURITIES
KONDO EFFECT
QUANTUM MECHANICS
S MATRIX
SEMICONDUCTOR DEVICES
TUNNEL EFFECT