Accession Number:

ADA585514

Title:

Junctions of Multiple Quantum Wires with Different Luttinger Parameters

Descriptive Note:

Journal article

Corporate Author:

CALIFORNIA INST OF TECH PASADENA DEPT OF PHYSICS

Report Date:

2012-08-22

Pagination or Media Count:

14.0

Abstract:

Within the framework of boundary conformal field theory, we evaluate the conductance of stable fixed points of junctions of two and three quantum wires with different Luttinger parameters. For two wires, the physical properties are governed by a single effective Luttinger parameter for each of the charge and spin sectors. We present numerical density-matrix-renormalization-group calculations of the conductance of a junction of two chains of interacting spinless fermions with different interaction strengths, obtained using a recently developed method. The numerical results show very good agreement with the analytical predictions. For three spinless wires i.e., a Y junction we analytically determine the full phase diagram and compute all fixed-point conductances as a function of the three Luttinger parameters.

Subject Categories:

  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE