Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction
arXiv:2012.13414 · doi:10.1103/PhysRevB.104.045402
Abstract
Power law suppression of local electronic tunneling density of states (TDOS) in the zero-energy limit is a hallmark of Luttinger liquid (LL) phase of the interacting 1-D electron system. We present a theoretical model which hosts LL state with the surprising feature of enhancement rather than suppression in local TDOS originating from non-local and repulsive density-density interactions. Importantly, we find enhancement of TDOS in the manifold of parameter space where the system is stable in the renormalization group (RG) sense. We argue that enhancement of TDOS along with RG stability is possible only when the system has broken parity symmetry about the position of local TDOS enhancement. Such a model could be realized on the edge states of a bi-layer quantum Hall system where both intra-layer and inter-layer density-density interactions are present mimicking the role of local and non-local interactions respectively.
arXiv comment13 pages, 4 figures
References in corpus (64)
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Topological phases with parafermions: theory and blueprints
- Tunable Fractional Quantum Hall Phases in Bilayer Graphene
- Junctions of three quantum wires
- Junctions of three quantum wires and the dissipative Hofstadter model
- The Fermi Edge Singularity and Boundary Condition Changing Operators
- Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
- Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid
- Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
- Charge-Spin Separation and the Spectral Properties of Luttinger Liquids
- Electrostatically induced quantum point contact in bilayer graphene
- Junction of several weakly interacting quantum wires: a renormalization group study
- Nonuniversal spectral properties of the Luttinger model
- Synthetic Topological Qubits in Conventional Bilayer Quantum Hall Systems
- Fermi Edge Singularities and Backscattering in a Weakly Interacting 1D Electron Gas
- A junction of three quantum wires: restoring time-reversal symmetry by interaction
- Quantum Antiferromagnets in Two Dimensions
- Junctions of anyonic Luttinger wires
- Scanning Tunneling Microscopy of a Luttinger Liquid
- Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effect
- Junctions of three quantum wires for spin 1/2 electrons
- Luttinger liquids with boundaries: Power-laws and energy scales
- Junctions of one-dimensional quantum wires - correlation effects in transport
- Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model
- Andreev reflection in the fractional quantum Hall effect
- Distributed-element circuit model of edge magnetoplasmon transport
- Abelian and Non-Abelian States in Bilayer Fractional Quantum Hall Systems
- Enhancement of tunneling density of states at a junction of three Luttinger liquid wires
- Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2
- Robust fractional quantum Hall effect and composite fermions in the Landau level in bilayer graphene
- Anomalous density of states of a Luttinger liquid in contact with a superconductor
- Inter-edge interactions and novel fixed points at a junction of quantum Hall line junctions
- Tunneling into a Luttinger liquid revisited
- Renormalization group study of the conductances of interacting quantum wire systems with different geometries
- Spontaneous Interlayer Charge Transfer near the Magnetic Quantum Limit
- Enhancement of the tunneling density of states in Tomonaga--Luttinger Liquids
- General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
- Y-junction connecting Luttinger liquids: fixed point structure and conductances
- Comment on ``Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids''
- Duality between normal and superconducting junctions of multiple quantum wires
- Resonance in One--Dimensional Fermi--Edge Singularity
- Transport theory of carbon nanotube Y junctions
- Charge superconductivity and topological degeneracies without localized zero modes in bilayer fractional quantum Hall states
- Chiral Y-junction of Luttinger liquid wires at strong coupling: fermionic representation
- Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
- How to find conductance tensors of quantum multi-wire junctions through static calculations: application to an interacting Y-junction
- Density matrix renormalization group algorithms for Y-junctions
- Line junction in a quantum Hall system with two filling fractions
- Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires
- Impurity effects on chiral 1D electron systems
- Chiral Y junction of quantum spin chains
- Chiral Y-junction of Luttinger liquid wires at weak coupling: lines of stable fixed points
- Gate-controlled transmission of quantum Hall edge states in bilayer graphene
- Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit
- Power dissipation for systems with junctions of multiple quantum wires
- A fermionic approach to tunneling through junctions of multiple quantum wires
- Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
- Generalized parafermions and non-local Josephson effect in multi-layer systems
- Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires
- Efficient Density Matrix Renormalization Group algorithm to study Y-Junctions with integer and half-integer spin
- Tunneling conductance of long-range Coulomb interacting Luttinger liquid
- Effect of inter-edge Coulomb interactions on transport through a point contact in a ν= 5/2 quantum Hall state
- Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study
- Screening cloud and non-Fermi-liquid scattering in topological Kondo devices