Percolation transition and dissipation in quantum Ising magnets

2006/05/31 by J. A. Hoyos, José A. Hoyos, Thomas Vojta · 3 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.74.140401

published as Phys. Rev. B 74, 140401(R) (2006) · 4 pages, 2 eps figures, final version as published

arxiv created 2006/10/11 · openalex publication_date 2006/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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.

Citations

• Phase Diagram and Critical Exponents of a Dissipative Ising Spin Chain in a Transverse Magnetic Field
• An introduction to percolation theory
• Quantum critical phenomena
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems
• Dynamics of the dissipative two-state system

Cited by

• Theory of Smeared Quantum Phase Transitions
• Composition-tuned smeared phase transitions
• Local defect in a magnet with long-range interactions