Junctions of anyonic Luttinger wires

2008/08/31 by Brando Bellazzini, Pasquale Calabrese, Mihail Mintchev · 63 citations
Mathematics · Physics and Astronomy · #Bosonization #Boundary (topology) #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermion #Fixed point #Geometry #Luttinger liquid #Mathematical analysis #Mathematics #Momentum (technical analysis) #Physics #Physics of Superconductivity and Magnetism #Point (geometry) #Quantum many-body systems #Quantum mechanics #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevb.79.085122

published in Physical Review B 79(8) (American Physical Society) · 16 pages, 2 figures, typos corrected, Refs added

arxiv created 2009/01/22 · openalex publication_date 2009/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an extended study of anyonic Luttinger liquids wires jointing at a single point. The model on the full line is solved with bosonization and the junction of an arbitrary number of wires is treated imposing boundary conditions that preserve exact solvability in the bosonic language. This allows us to reach, in the low-momentum regime, some of the critical fixed points found with the electronic boundary conditions. The stability of all the fixed points is discussed.

Citations

• On the theory of identical particles
• Bosonization and Strongly Correlated Systems
• Spintronics with NSN junction of one-dimensional quantum wires: A study of pure spin current and magnetoresistance
• One-dimensional impenetrable anyons in thermal equilibrium: I. Anyonic generalization of Lenard's formula
• Effective boundary field theory for a Josephson junction chain with a weak link
• Correlation functions of one-dimensional anyonic fluids
• Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
• Landauer-Type Transport Theory for Interacting Quantum Wires: Application to Carbon Nanotube Y Junctions
• Frustration of decoherence in Y-shaped superconducting Josephson networks
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• One-Dimensional Interacting Anyon Gas: Low-Energy Properties and Haldane Exclusion Statistics
• Kondo Problems in Tomonaga–Luttinger Liquids
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Interedge interactions and fixed points at a junction of quantum Hall line junctions
• Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
• Quantum fields on star graphs
• One-dimensional impenetrable anyons in thermal equilibrium: II. Determinant representation for the dynamic correlation functions
• Correlation functions of one-dimensional Lieb–Liniger anyons
• Anyonic interferometry and protected memories in atomic spin lattices
• Entanglement in many-body systems
• Conformal Field Theory
• Regular networks of Luttinger liquids

Cited by

• Enhancement of Tunneling Density of States at a Junction of Three Luttinger Liquid Wires
• Power dissipation for systems with junctions of multiple quantum wires
• Networks of quantum wire junctions: A system with quantized integer Hall resistance without vanishing longitudinal resistivity