Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states

Abstract

Resonant tunneling through a quantum dot weakly coupled to Tomonaga-Luttinger liquids is discussed. The linear conductance due to sequential tunneling is calculated by solving a master equation for temperatures below and above the average level spacing in the dot. When the parameter g characterizing the Tomonaga-Luttinger liquid is smaller than 1/2, the resonant tunneling process is incoherent down to zero temperature. At low temperature T the height and width of the conductance peaks in the Coulomb blockade oscillations are proportional to T^{(1/g)-2} and T, respectively. The contribution from tunneling via a virtual intermediate state (cotunneling) is also included. The resulting conductance formula can be applied for the resonant tunneling between edge states of fractional quantum Hall liquids with filling factor nu=1/(2m+1)=g.

RevTex, 9 pages including 4 figures

References in corpus (4)

• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Coulomb Blockade of Tunneling Through a Double Quantum Dot
• Coulomb blockade oscillations of conductance in the regime of strong tunneling

Cited by in corpus (74)

• Functional renormalization group approach to correlated fermion systems
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Transport of interacting electrons through a double barrier in quantum wires
• Occupation of a resonant level coupled to a chiral Luttinger liquid
• Resonant tunnelling between Luttinger liquids: solvable case
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Quantum Wire Hybridized with a Single-Level Impurity
• Negative differential conductance induced by spin-charge separation
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
• Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
• Correlated tunneling in intramolecular carbon nanotube quantum dots
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Tomonaga-Luttinger liquid correlations and Fabry-Perot interference in conductance and finite-frequency shot noise in a single-walled carbon nanotube
• Charge and spin addition energies of one dimensional quantumn dot
• Control of spin in quantum dots with non-Fermi liquid correlations
• Duality between different geometries of a resonant level in a Luttinger liquid
• Indirect forces between impurities in one-dimensional quantum liquids
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Theory of measuring the "Luttinger-g" of a one-dimensional quantum dot
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Resonant Tunneling in a Dissipative Environment
• Enhanced thermoelectric response in the fractional quantum Hall effect
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Single Wall Nanotubes: Atomic Like Behaviour and Microscopic Approach
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Correlated sequential tunneling through a double barrier for interacting one-dimensional electrons
• Resonant tunneling in a Luttinger liquid for arbitrary barrier transmission
• Charging of a quantum dot coupled to Luttinger liquid leads
• Non-equilibrium Plasmons in a Quantum Wire Single Electron Transistor
• Signatures of fractional Hall quasiparticles in moments of current through an antidot
• Spin effects in transport through non-Fermi liquid quantum dots
• Fluctuations in heat current and scaling dimension
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Quantum Dot in Interacting Environments
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Nonequilibrium transport through a quantum dot weakly coupled to Luttinger liquids
• Thermal broadening of the Coulomb blockade peaks in quantum Hall interferometers
• Coulomb Blockade in the Fractional Quantum Hall Effect Regime
• Tunneling conductance of a mesoscopic ring with spin-orbit coupling and Tomonaga-Luttinger interaction
• Transport through a double barrier for interacting quasi one-dimensional electrons in a Quantum Wire in the presence of a transverse magnetic field
• Thermoelectrics of a two-channel charge Kondo circuit: Role of electron-electron interactions in a quantum point contact
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Luttinger liquid and polaronic effects in electron transport through a molecular transistor
• Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid
• Transport of fractional Hall quasiparticles through an antidot
• Resonant polaron-assisted tunneling of strongly interacting electrons through a single-level vibrating quantum dot
• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid
• Suppression of Coulomb blockade peaks by electronic correlations in InAs nanowires
• Nonequilibrium transport of helical Luttinger liquids through a quantum dot
• Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Electron-pairing in the quantum Hall regime due to neutralon exchange
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field
• Carbon nanotube sensor for vibrating molecules
• Probing Wigner correlations in a suspended carbon nanotube
• Nontrivial transition of transmission in a highly open quantum point contact in the quantum Hall regime
• Effect of interactions on quantum-limited detectors
• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
• Transport properties of a Luttinger liquid with a cluster of impurities
• Environment-Induced Rabi Oscillations in the Optomechanical Boson-Boson Model
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Theory of interaction-dependent instability in quantum detection by means of Luttinger liquid tunnel junction: a rigorous theorem
• Nonequilibrium plasmons and transport properties of a double--junction quantum wire
• Resonant tunnelling in interacting 1D systems with an AC modulated gate
• Universal point contact resistance between thin-film superconductors
• Submergence of the Sidebands in the Photon-assisted Tunneling through a Quantum Dot Weakly Coupled to Luttinger Liquid Leads