Percolation transition and dissipation in quantum Ising magnets

Abstract

We study the effects of dissipation on a randomly diluted transverse-field Ising magnet close to the percolation threshold. For weak transverse fields, a novel percolation quantum phase transition separates a superparamagnetic cluster phase from an inhomogeneously ordered ferromagnetic phase. The properties of this transition are dominated by large frozen and slowly fluctuating percolation clusters. This leads to a discontinuous magnetization-field curve and exotic hysteresis phenomena as well as highly singular behavior of magnetic susceptibility and specific heat. We compare our results to the smeared transition in generic dissipative random quantum Ising magnets. We also discuss the relation to metallic quantum magnets and other experimental realizations.

4 pages, 2 eps figures, final version as published

References in corpus (18)

• Theory of the spin bath
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Butterfly hysteresis loop and dissipative spin reversal in the S=1/2, V15 molecular complex
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Impurity Quantum Phase Transitions
• Disorder-induced rounding of certain quantum phase transitions
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Higher dimensional realizations of activated dynamic scaling at random quantum transitions
• Local Defect in Metallic Quantum Critical Systems
• On quantum Griffiths effects in metallic systems
• Smearing of the phase transition in Ising systems with planar defects
• Thermodynamics of the dissipative two-state system: a Bethe Ansatz study
• Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model
• A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems
• Static properties of the dissipative random quantum Ising ferromagnetic chain
• Comment on "A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems" by A. H. Castro-Neto and B. A. Jones
• Reply to Millis et al. on "A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems"

Cited by in corpus (14)

• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Infinite-randomness quantum critical points induced by dissipation
• Theory of smeared quantum phase transitions
• Dissipation effects in random transverse-field Ising chains
• Composition-tuned smeared phase transitions
• Local defect in a magnet with long-range interactions
• Alternative criterion for two-dimensional wrapping percolation
• Smeared nematic quantum phase transitions due to rare-region effects in inhomogeneous systems
• Quantum critical behavior in Ce(Fe${}_{0.76}$Ru${}_{0.24}$)${}_2$Ge${}_2$: the full story
• Evidence for magnetic clusters in stoichiometric quantum critical CeRu${}_2$Si${}_2$
• Percolation via combined electrostatic and chemical doping in complex oxide films
• Dissipation effects in percolating quantum Ising magnets
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Superfluid-Mott glass quantum multicritical point on a percolating lattice