Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate

Abstract

The dissipation induced by a metallic gate on the low-energy properties of interacting 1D electron liquids is studied. As function of the distance to the gate, or the electron density in the wire, the system undergoes a quantum phase transition from the Tomonaga-Luttinger liquid state to two kinds of dissipative phases, one of them with a finite spatial correlation length. We also define a dual model, which describes an attractive one dimensional metal with a Josephson coupling to a dirty metallic lead.

5 pages, 2 EPS figures; v2: improved figure for phase diagram, added discussion, corrected typos

References in corpus (22)

• Evidence for Luttinger liquid behavior in crossed metallic single-wall nanotubes
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Effects of dissipation on quantum phase transitions
• Universal conductance of nanowires near the superconductor-metal quantum transition
• Non-Fermi liquid behavior from two-dimensional antiferromagnetic fluctuations: a renormalization-group and large-N analysis
• Open Luttinger liquids
• Quantum spin chains with site dissipation
• Dephasing in sequential tunneling through a double-dot interferometer
• Hidden Caldeira-Leggett dissipation in a Bose-Fermi Kondo model
• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Aharonov-Bohm oscillations of a particle coupled to dissipative environments
• Dissipation and quantum phase transitions of a pair of Josephson junctions
• Superconducting phase coherence in striped cuprates
• Zero-point fluctuations in the ground state of a mesoscopic normal ring
• Microwave-Induced Dephasing in One-Dimensional Metal Wires
• Decay of the Two-Point Function in One-Dimensional O(N) Spin Models with Long Range Interactions
• Electronic lifetimes in ballistic quantum dots electrostatically coupled to metallic environments
• Low temperature properties of a quantum particle coupled to dissipative environments
• A many-fermion generalization of the Caldeira-Leggett model
• Electronic dephasing in wires due to metallic gates
• Quantum Phase Transitions in Dissipative Tunnel Junctions

Cited by in corpus (38)

• Algebraic versus exponential decoherence in dissipative many-particle systems
• Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems
• Quantum Quenches in the Luttinger model and its close relatives
• Dissipative ground-state preparation of a spin chain by a structured environment
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Environmental induced renormalization effects in quantum Hall edge states
• Dissipation-Induced Order: The $S=1/2$ Quantum Spin Chain Coupled to an Ohmic Bath
• Superconductivity and fermionic dissipation in quantum Hall edges
• Electron coherence at low temperatures: The role of magnetic impurities
• Dissipation-driven quantum phase transitions in collective spin systems
• Interacting lattice systems with quantum dissipation: a quantum Monte Carlo study
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Spin chain on a metallic surface: Dissipation-induced order vs. Kondo entanglement
• Modeling Particle Loss in Open Systems using Keldysh Path Integral and Second Order Cumulant Expansion
• Dissipation-induced phase transitions in superconducting wires
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Dissipation-driven superconductor-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films
• Transport in a Dissipative Luttinger Liquid
• Phase coherence in one-dimensional superconductivity by power-law hopping
• Bath induced phase transition in a Luttinger liquid
• Transverse Quantum Fluids
• Universal long-time behavior of stochastically driven interacting quantum systems
• Long-range order in quasi-one-dimensional conductors
• Rescuing a Quantum Phase Transition with Quantum Noise
• Lattice mapping for many-body open quantum systems and its application to atoms in photonic cystals
• Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals
• A Luttinger Liquid coupled to Ohmic-class environments
• Critical phase induced by Berry phase and dissipation in a spin chain
• Dissipative Majorana quantum wires
• Phase diagram of the dissipative quantum particle in a box
• Localization induced by spatially uncorrelated subohmic baths in one dimension
• Effect of impurity pinning on conduction and specific heat in the Luttinger liquid
• Suppressing backscattering of helical edge modes with a spin bath
• Antiferromagnetic order enhanced by local dissipation
• Impurity induced coherent current oscillations in one-dimensional conductors
• Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter
• Transport in a Luttinger liquid with dissipation: two impurities
• Strong enhancements to superconducting properties of 1D systems from metallic reservoirs