Infinite-randomness quantum critical points induced by dissipation

Abstract

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in Hertz' theory of the itinerant antiferromagnetic transition or in the superconductor-metal transition in nanowires, we find the transition to be governed by an exotic infinite-randomness fixed point in the same universality class as the (dissipationless) random transverse-field Ising model. We determine the critical behavior and calculate key observables at the transition and in the associated quantum Griffiths phase. We also briefly discuss the cases of superohmic and subohmic dissipations.

11 pages, 3eps figures embedded, final version as published

References in corpus (48)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Strong disorder RG approach of random systems
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Infinite-randomness quantum Ising critical fixed points
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Absence of spontaneous magnetic order at non-zero temperature in one- and two-dimensional Heisenberg and XY systems with long-range interactions
• Disorder-induced rounding of certain quantum phase transitions
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Superconducting properties of polycrystalline Nb nanowires templated by carbon nanotubes
• Phase transition of one dimensional bosons with strong disorder
• Effects of dissipation on a quantum critical point with disorder
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Universal conductance of nanowires near the superconductor-metal quantum transition
• Quantum critical behavior of disordered itinerant ferromagnets
• Theory of smeared quantum phase transitions
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Dynamics and transport in random quantum systems governed by strong-randomness fixed points
• Local Defect in Metallic Quantum Critical Systems
• Low-energy fixed points of random Heisenberg models
• On quantum Griffiths effects in metallic systems
• Absence of conventional quantum phase transitions in itinerant systems with disorder
• Numerical renormalization group study of random transverse Ising models in one and two space dimensions
• Multi-critical point in a diluted bilayer Heisenberg quantum antiferromagnet
• Random quantum magnets with broad disorder distribution
• Long-range order versus random-singlet phases in quantum antiferromagnetic systems with quenched disorder
• Dynamics and Transport in Random Antiferromagnetic Spin Chains
• Percolation quantum phase transitions in diluted magnets
• Exotic vs. conventional scaling and universality in a disordered bilayer quantum Heisenberg antiferromagnet
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model
• Weakly disordered absorbing-state phase transitions
• Quantum phase transitions of the diluted O(3) rotor model
• Universal thermal and electrical transport near the superconductor-metal quantum phase transition in nanowires
• Metal-superconductor transition at zero temperature: A case of unusual scaling
• Influence of rare regions on magnetic quantum phase transitions
• On the critical behavior of disordered quantum magnets: The relevance of rare regions
• Breakdown of Landau-Ginzburg-Wilson theory for certain quantum phase transitions
• Strong disorder renormalization group study of S=1/2 Heisenberg antiferromagnet layers/bilayers with bond randomness, site dilution and dimer dilution
• Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath
• Ordering near the percolation threshold in models of 2D interacting bosons with quenched dilution
• Percolation transition and dissipation in quantum Ising magnets
• Quantum Critical Behavior of the Cluster Glass Phase
• Order parameter symmetry and mode coupling effects at dirty superconducting quantum phase transitions
• Dissipation effects in percolating quantum Ising magnets

Cited by in corpus (62)

• Quantum entanglement in condensed matter systems
• Highly crystalline 2D superconductors
• Ising Superconductivity and Quantum Phase Transition in Macro-Size Monolayer NbSe2
• Anomalous metals -- failed superconductors
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Quantum Griffiths Phase in the weak itinerant ferromagnetic alloy Ni${}_{1-x}$V${}_x$
• Disorder in quantum many-body systems
• Strong Disorder RG approach - a short review of recent developments
• Superfluid-insulator transition of disordered bosons in one-dimension
• Criticality and quenched disorder: rare regions vs. Harris criterion
• Resistance in Superconductors
• Quantum Griffiths phase inside the ferromagnetic phase of Ni${}_{1-x}$V${}_x$
• The observation of in-plane quantum Griffiths singularity in two-dimensional crystalline superconductors
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
• Dynamical conductivity at the dirty superconductor-metal quantum phase transition
• Infinite-randomness fixed point of the quantum superconductor-metal transitions in amorphous thin films
• Anomalous quantum Griffiths singularity in ultrathin crystalline lead films
• Quantum critical behavior of the superfluid-Mott glass transition
• Localization of overdamped bosonic modes and transport in strange metals
• Dissipation effects in random transverse-field Ising chains
• Rounding of a first-order quantum phase transition to a strong-coupling critical point
• Finding the elusive sliding phase in superfluid-normal phase transition smeared by c-axis disorder
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Signatures of a quantum Griffiths phase in a d-metal alloy close to its ferromagnetic quantum critical point
• High-Temperature Anomalous Metal States in Iron-Based Interface Superconductors
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• Random elastic networks : strong disorder renormalization approach
• Infinite randomness and quantum Griffiths effects in a classical system: the randomly layered Heisenberg magnet
• Absorbing-state phase transitions on percolating lattices
• Influence of superohmic dissipation on a disordered quantum critical point
• Rare regions and Griffiths singularities at a clean critical point: The five-dimensional disordered contact process
• Thermal expansion and Grueneisen parameter in quantum Griffiths phases
• Quantum phase transition in two-dimensional NbN superconducting thin films
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons
• Adaptive Density-Matrix Renormalization-Group study of the disordered antiferromagnetic spin-1/2 Heisenberg chain
• Quantum Griffiths singularities in ferromagnetic metals
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Random free-fermion quantum spin chain with multi-spin interactions
• Evidence for magnetic clusters in Ni${}_{1-x}$V${}_x$ close to the quantum critical concentration
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• The activated scaling behavior of quantum Griffiths singularity in two-dimensional superconductors
• Fractionalized Fermi liquids and the cuprate phase diagram
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Quantum Griffiths singularity in a three-dimensional superconductor to Anderson critical insulator transition
• Magnetic Grueneisen ratio of the random transverse-field Ising chain
• Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models
• Numerical method for disordered quantum phase transitions in the large$-N$ limit
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Superfluid-Mott glass quantum multicritical point on a percolating lattice
• Novel Emergent Phases in a Two-Dimensional Superconductor
• Non-Fermi liquid transport and "universal" ratios in quantum Griffiths phases
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Amplitude mode at the superfluid-insulator transition on a random lattice
• Critical spin fluctuations across the superconducting dome in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Monte Carlo simulations of a disordered superconductor-metal quantum phase transition
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Smeared quantum phase transition in the dissipative random quantum Ising model