Theory of smeared quantum phase transitions

Abstract

We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically, yielding asymptotically exact results for the low-temperature properties of the system. We find that the interplay between quantum fluctuations and Ohmic dissipation destroys the quantum critical point by smearing. We also determine the phase diagram and the behavior of observables in the vicinity of the smeared quantum phase transition.

4 pages, 1 eps figure embedded; (v2) contains the full joint field and moment distribution + we fixed a few typos; (v3) published version + typos corrected

References in corpus (14)

• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Strong disorder RG approach of random systems
• Infinite-randomness quantum Ising critical fixed points
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Disorder-induced rounding of certain quantum phase transitions
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Effects of dissipation on a quantum critical point with disorder
• Higher dimensional realizations of activated dynamic scaling at random quantum transitions
• Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model
• Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath
• Percolation transition and dissipation in quantum Ising magnets

Cited by in corpus (66)

• 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${}_x$
• Evidence for a Non-Fermi-Liquid Phase in Ge-Substituted YbRh2Si2
• Disorder in quantum many-body systems
• Strong Disorder RG approach - a short review of recent developments
• Infinite-randomness quantum critical points induced by dissipation
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• Ferromagnetic Quantum Critical Point Avoided by the Appearance of Another Magnetic Phase in LaCrGe${}_3$ under Pressure
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Avoided ferromagnetic quantum critical point: Unusual short-range ordered state in CeFePO
• Asymptotically exact theory for nonlinear spectroscopy of random quantum magnets
• Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
• The quantum phase transition and correlations in the multi-spin-boson model
• Localization of overdamped bosonic modes and transport in strange metals
• Dissipation effects in random transverse-field Ising chains
• Finding the elusive sliding phase in superfluid-normal phase transition smeared by c-axis disorder
• Helical glasses near ferromagnetic quantum criticality
• A smeared quantum phase transition in disordered holography
• Two Mode Photon Bunching Effect as Witness of Quantum Criticality in Circuit QED
• Ordered magnetism in the intrinsically decorated $j{}_{\mathrm{eff}}$ = $\frac{1}{2}$ $\alpha$-CoV${}_3$O${}_8$
• Typical-Medium Theory of Mott-Anderson Localization
• Random elastic networks : strong disorder renormalization approach
• Quantum Griffiths phase in CePd(1-x)Rh(x) with x ~ 0.8
• 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
• Thermal expansion and Grueneisen parameter in quantum Griffiths phases
• Composition-tuned smeared phase transitions
• Collective modes at a disordered quantum phase transition
• Breakdown of self-averaging in the Bose glass
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Infinite-randomness criticality in a randomly layered Heisenberg magnet
• Random free-fermion quantum spin chain with multi-spin interactions
• Dynamical mean-field theories of correlation and disorder
• Rescuing a Quantum Phase Transition with Quantum Noise
• Smeared nematic quantum phase transitions due to rare-region effects in inhomogeneous systems
• Dyson hierarchical quantum ferromagnetic Ising chain with pure or random transverse fields
• Strong-disorder magnetic quantum phase transitions: Status and new developments
• The dissipative phase transition in a pair of coupled noisy two-level systems
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Disorder-induced dynamical Griffiths singularities after certain quantum quenches
• Repulsive to Attractive Fluctuation-Induced Forces in Disordered Landau-Ginzburg Model
• Disorder correlations at smeared phase transitions
• Critical properties of dissipative quantum spin systems in finite dimensions
• Localization of the Higgs mode at the superfluid-Mott glass transition
• Phase boundary near a magnetic percolation transition
• Restoration of a Spontaneously Broken Symmetry in an Euclidean Quantum $\lambda {\phi }_{d+1}^4$ model with Quenched Disorder
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• 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
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Magnetic Grueneisen ratio of the random transverse-field Ising chain
• Superfluid-Mott glass quantum multicritical point on a percolating lattice
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Novel Emergent Phases in a Two-Dimensional Superconductor
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Tunable phase transition in a dissipative two-spin system: A renormalization group study
• Amplitude mode at the superfluid-insulator transition on a random lattice
• Smeared phase transition in the dissipative random quantum Ashkin-Teller model
• Evidence for power-law Griffiths singularities in a layered Heisenberg magnet
• Quantum critical behavior of diluted quasi-one-dimensional Ising chains
• Thermodynamics of a Quantum Ising system coupled to a spin bath: Zero Temperature Results
• Large Disorder Renormalization Group Study of the Anderson Model of Localization