Transport Signatures of Majorana Quantum Criticality Realized by Dissipative Resonant Tunneling

Abstract

We consider theoretically the transport properties of a spinless resonant electronic level coupled to strongly dissipative leads, in the regime of circuit impedance near the resistance quantum. Using the Luttinger liquid analogy, one obtains an effective Hamiltonian expressed in terms of interacting Majorana fermions, in which all environmental degrees of freedom (leads and electromagnetic modes) are encapsulated in a single fermionic bath. General transport equations for this system are then derived in terms of the Majorana T-matrix. Perturbative treatment of the Majorana interaction term yields the appearance of a marginal, linear dependence of the conductance on temperature when the system is tuned to its quantum critical point, in agreement with recent experimental observations. We investigate in detail the different crossovers involved in the problem, and analyze the role of the interaction terms in the transport scaling functions. In particular, we show that single barrier scaling applies when the system is slightly tuned away from its Majorana critical point, strengthening the general picture of dynamical Coulomb blockade.

arXiv comment10 pages, 4 figures

References in corpus (34)

• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Observation of the two-channel Kondo effect
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Interacting one dimensional electron gas with open boundaries
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• Pedestrian Approach to the Two-Channel Kondo Model
• Observation of the underscreened Kondo effect in a molecular transistor
• 1D-1D Coulomb Drag Signature of a Luttinger Liquid
• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Majorana single-charge transistor
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Zero-Point Fluctuations and the Quenching of the Persistent Current in Normal Metal Rings
• Tomonaga-Luttinger physics in electronic quantum circuits
• On the Emery-Kivelson Solution of the two channel Kondo problem
• Transport of interacting electrons through a double barrier in quantum wires
• Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
• Universal transport signatures in two-electron molecular quantum dots: gate-tunable Hund's rule, underscreened Kondo effect and quantum phase transitions
• Coulomb blockade of a noisy metallic box: A realization of Bose-Fermi Kondo models
• Unification of electromagnetic noise and Luttinger liquid via a quantum dot
• Resonant tunnelling between Luttinger liquids: solvable case
• Strong back-action of a linear circuit on a single electronic quantum channel
• Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
• Detection of Majorana edge states in topological superconductors through the non-Fermi-liquid effects induced in an interacting quantum dot
• Dissipation-induced quantum phase transition in a quantum box
• Interplay of electromagnetic noise and Kondo effect in quantum dots
• Resonant Tunneling in a Dissipative Environment
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• Quantum impurity coupled to Majorana edge fermions
• Transport of interacting electrons through a potential barrier: nonperturbative RG approach
• Capacitance of a resonant level coupled to Luttinger liquids
• Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model

Cited by in corpus (11)

• Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
• Wiedemann-Franz law in a non-Fermi liquid and Majorana central charge: Thermoelectric transport in a two-channel Kondo system
• Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level
• Does delta-$T$ noise probe quantum statistics?
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Rescuing a Quantum Phase Transition with Quantum Noise
• Stabilization of a Majorana Zero Mode through Quantum Frustration
• Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
• Electric and heat transport in a charge two-channel Kondo device
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level