Junctions of Multiple Quantum Wires with Different Luttinger Parameters

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.

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Document Details

Document Type
Technical Report
Publication Date
Aug 22, 2012
Accession Number
ADA585514

Entities

People

  • Adrian Feiguin
  • Armin Rahmani
  • Chang-yu Hou
  • Claudio Chamon

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Agreements
  • Amplitude
  • Boundaries
  • California
  • Diagrams
  • Electron Electron Interactions
  • Electrons
  • Fermions
  • Ground State
  • Phase Diagrams
  • Physical Properties
  • Physics
  • Quantum Computing
  • Quantum Properties
  • Quantum Wires
  • Three Dimensional
  • Transport Properties

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Semiconductor Device Technology

Technology Areas

  • Quantum Computing