Junctions of multiple quantum wires with different Luttinger parameters
arXiv:1205.2125 · doi:10.1103/PhysRevB.86.075451
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 parameters 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 [Phys. Rev. Lett. 105, 226803 (2010)]. 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.
13 pages, 6 figures
References in corpus (18)
- Impurity and correlation effects on transport in one-dimensional quantum wires
- Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
- Bosonization and Scale Invariance on Quantum Wires
- Junctions of anyonic Luttinger wires
- Junctions of three quantum wires for spin 1/2 electrons
- Tunneling into a Luttinger liquid revisited
- Electron tunneling into a quantum wire in the Fabry-Perot regime
- Oscillatory non-linear conductance of an interacting quantum wire with an impurity
- Non-equilibrium Steady States of Quantum Systems on Star Graphs
- General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
- Resistivity of inhomogeneous quantum wires
- Y-junction connecting Luttinger liquids: fixed point structure and conductances
- Duality between normal and superconducting junctions of multiple quantum wires
- Non-equilibrium transport through a point contact in the non-Abelian quantum Hall state
- Influence of the contacts on the conductance of interacting quantum wires
- Constraints on conductances for Y-junction of quantum wires
- Chiral Y-junction of Luttinger liquid wires at weak coupling: lines of stable fixed points
- Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: I. Spectral properties
Cited by in corpus (28)
- Tunneling spectroscopy of Majorana-Kondo devices
- Violation of the Wiedemann-Franz law in the Topological Kondo model
- Crystalline Symmetry-Protected Majorana Mode in Number-Conserving Dirac Semimetal Nanowires
- Exact nonequilibrium transport in the topological Kondo effect
- Chiral Y-junction of Luttinger liquid wires at strong coupling: fermionic representation
- Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
- Boundary edge networks induced by bulk topology
- Dual fermionic variables and renormalization group approach to junctions of strongly interacting quantum wires
- A fermionic approach to tunneling through junctions of multiple quantum wires
- Networks of quantum wire junctions: a system with quantized integer Hall resistance without vanishing longitudinal resistivity
- Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
- Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
- Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
- Quasi-one-dimensional He in nanopores
- Spin Andreev-like reflection in metal-Mott insulator heterostructures
- The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect
- Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
- Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
- Spin-polarized tunneling into helical edge states: asymmetry and conductances
- Universality and quantized response in bosonic nonfractionalized tunneling
- Time resolved transport properties of a -junction of Tomonaga-Luttinger liquids
- Impurity entropy of junctions of multiple quantum wires
- Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition
- Conductance of correlated many-fermion systems from charge fluctuations
- Exact scattering matrix of graphs in magnetic field and quantum noise
- Emergent chirality in multi-lead Luttinger-liquid junctions out of equilibrium
- Ambiguity in renormalization of X-junction between Luttinger liquid wires
- Hetero-Junction of Two Quantum Wires: Critical Line and Duality