Quantum phase transitions of the diluted O(3) rotor model

Abstract

We study the phase diagram and the quantum phase transitions of a site-diluted two-dimensional O(3) quantum rotor model by means of large-scale Monte-Carlo simulations. This system has two quantum phase transitions, a generic one for small dilutions, and a percolation transition across the lattice percolation threshold. We determine the critical behavior for both transitions and for the multicritical point that separates them. In contrast to the exotic scaling scenarios found in other random quantum systems, all these transitions are characterized by finite-disorder fixed points with power-law scaling. We relate our findings to a recent classification of phase transitions with quenched disorder according to the rare region dimensionality, and we discuss experiments in disordered quantum magnets.

arXiv comment11 pages, 14 eps figures, final version as published

References in corpus (33)

• Metallic behavior and related phenomena in two dimensions
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Infinite-randomness quantum Ising critical fixed points
• Critical exponents of the three dimensional diluted Ising model
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass
• Disorder-induced rounding of certain quantum phase transitions
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Evidence for a common physical description of non-Fermi-liquid behavior in f-electron systems
• Evidence for a generic novel quantum transition in high-Tc cuprates
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Higher dimensional realizations of activated dynamic scaling at random quantum transitions
• Low-energy fixed points of random Heisenberg models
• The four dimensional site-diluted Ising model: a finite-size scaling study
• Smearing of the phase transition in Ising systems with planar defects
• Multi-critical point in a diluted bilayer Heisenberg quantum antiferromagnet
• Random Bond Effect in the Quantum Spin System (Tl${}_{1-x}$K${}_x$)CuCl${}_3$
• Random-exchange quantum Heisenberg antiferromagnets on the square lattice
• 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
• Quantum percolation in two-dimensional antiferromagnets
• Smeared phase transition in a three-dimensional Ising model with planar defects: Monte-Carlo simulations
• Excitations and Quantum Fluctuations in Site Diluted Two-Dimensional Antiferromagnets
• Broadening of a nonequilibrium phase transition by extended structural defects
• Quantum-criticality and percolation in dimer-diluted 2D antiferromagnets
• Comment on ``Quantum Phase Transition of the Randomly Diluted Heisenberg Antiferromagnet on a Square Lattice''
• Critical behavior of magnetic systems with extended impurities in general dimensions
• Quantum disorder and Griffiths singularities in bond-diluted two-dimensional Heisenberg antiferromagnets
• Monte-Carlo simulations of the smeared phase transition in a contact process with extended defects
• Ordering near the percolation threshold in models of 2D interacting bosons with quenched dilution

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• Magnetic properties of diluted hexaferrites
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Quantum transition between magnetically ordered and Mott glass phases
• On the Formation of Solid States Beyond Perfect Crystals: Quasicrystals, Geometrically-Frustrated Crystals and Glasses
• Topological Description of the Solidification of Undercooled Fluids and the Temperature Dependence of the Thermal Conductivity of Crystalline and Glassy Solids Above Approximately 50 K
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Superfluid-Mott glass quantum multicritical point on a percolating lattice
• On the possibility of mixed phases in disordered quantum paraelectrics
• Monte Carlo simulations of a disordered superconductor-metal quantum phase transition
• Amplitude mode at the superfluid-insulator transition on a random lattice
• Computing quantum phase transitions
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Quantum transitions from superfluid to insulating phases in disordered Bose systems
• Solidification of Icosahedral Quasicrystals: Viewpoint Based on a Quaternion Orientational Order Parameter and the Formation of the E8 Lattice
• On the Conditions for a Quantum Violent Relaxation
• Quantum critical behavior of diluted quasi-one-dimensional Ising chains