Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass

Abstract

We study the quantum transition at $T=0$ in the spin-$\frac{1}{2}$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1) dimensions, which we study by Monte Carlo simulations. Values of the critical exponents are estimated by a finite-size scaling analysis. We find that the dynamical exponent, $z$, and the correlation length exponent, $\nu$, are given by $z=1.5\pm 0.05$ and $\nu =1.0\pm 0.1$. Both the linear and non-linear susceptibility are found to diverge at the critical point.

RevTeX 10 pages + 4 figures (appended as uuencoded, compressed tar-file), THP21-94

References in corpus (1)

• A Solvable Spin-Glass of Quantum Rotors

Cited by in corpus (103)

• Theory of Quantum Annealing of an Ising Spin Glass
• Non-Fermi liquid behavior and Griffiths phase in {\it f}-electron compounds
• Strong disorder RG approach of random systems
• 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
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Quantum Annealing: An Overview
• Landau theory of quantum spin glasses of rotors and Ising spins
• Enhancement in performance of quantum battery by ordered and disordered interactions
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Beyond-classical computation in quantum simulation
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Quantum Critical Points and the Sign Problem
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Distributions of gaps and end-to-end correlations in random transverse-field Ising spin chains
• Cluster Monte Carlo Algorithm for the Quantum Rotor Model
• Integrability and Quantum Chaos in Spin Glass Shards
• On the path integral representation for quantum spin models and its application to the quantum cavity method and to Monte Carlo simulations
• Quantum field theory of metallic spin glasses
• Quantum TAP equations
• Significance of the Hyperfine Interactions in the Phase Diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Next-Generation Topology of D-Wave Quantum Processors
• Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
• Disorder induced cross-over effects at quantum critical points
• Quantum phase transition in spin glasses with multi-spin interactions
• From second to first order transitions in a disordered quantum magnet
• Density Profiles in Random Quantum Spin Chains
• Disorder Induced Phase Transition in a Random Quantum Antiferromagnet
• Quantum phase transitions of the diluted O(3) rotor model
• The Quantum Transition of the Two-Dimensional Ising Spin Glass: A Tale of Two Gaps
• Out of equilibrium dynamics of a Quantum Heisenberg Spin Glass
• Quantum critical behavior of the superfluid-Mott glass transition
• Quantum Spin Glasses
• Random quantum magnets with long-range correlated disorder: Enhancement of critical and Griffiths-McCoy singularities
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
• Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions
• Universality and Critical Exponents of the Fermion Sign Problem
• Adaptive-weighted tree tensor networks for disordered quantum many-body systems
• Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice
• The Ising spin glass in a transverse field. Results of two fermionic models
• The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model
• Griffiths-McCoy Singularities in the Random Transverse-Field Ising Spin Chain
• Spin Glasses on Thin Graphs
• Random bond Ising chain in a transverse magnetic field: A finite-size scaling analysis
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• Dynamical Critical Properties of the Random Transverse-Field Ising Spin Chain
• Critical and Griffiths-McCoy singularities in quantum Ising spin-glasses on d-dimensional hypercubic lattices: A series expansion study
• Monte Carlo simulations of dissipative quantum Ising models
• Static properties of the dissipative random quantum Ising ferromagnetic chain
• Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron
• The McCoy-Wu Model in the Mean-field Approximation
• Quantum spin glass in anisotropic dipolar systems
• Numerical Study of a Two-Dimensional Quantum Antiferromagnet with Random Ferromagnetic Bonds
• Correlated random fields in dielectric and spin glasses
• Unconventional critical activated scaling of two-dimensional quantum spin-glasses
• Collective modes at a disordered quantum phase transition
• Relaxational behavior of the infinite-range Ising spin-glass in a transverse field
• Dyson Hierarchical Long-Ranged Quantum Spin-Glass via real-space renormalization
• History Dependent Phenomena in the Transverse Ising Ferroglass: the Free Energy Landscape
• Quantum criticality in the 2d quasiperiodic Potts model
• Stochastic approximation of dynamical exponent at quantum critical point
• Fermionic SK-models with Hubbard interaction: Magnetism and electronic structure
• New quantum Monte Carlo study of quantum critical phenomena with Trotter-number-dependent finite-size scaling and non-equilibrium relaxation
• Two-dimensional wetting with binary disorder: a numerical study of the loop statistics
• Quantum critical behavior of a three-dimensional superfluid-Mott glass transition
• First-order transitions in spin chains coupled to quantum baths
• Quantum Monte Carlo study of the transverse-field quantum Ising model on infinite-dimensional structures
• Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions
• Effect of random fluctuations on quantum spin-glass transitions at zero temperature
• Griffiths-McCoy Singularities in the Dilute Transverse-Field Ising Model: A Numerical Linked Cluster Expansion Study
• The Effect of Columnar Disorder on the Superconducting Transition of a Type-II Superconductor in Zero Applied Magnetic Field
• Density matrix renormalization on random graphs and the quantum spin-glass transition
• Critical temperatures of the three- and four-state Potts models on the kagome lattice
• Activated scaling in disorder rounded first-order quantum phase transitions
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Replica symmetry breaking in the transverse-field Ising spin-glass model: Two frmionic representations
• Quantum wavefunction annealing of spin glasses
• Computational Bottlenecks of Quantum Annealing
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models
• Dynamic nonlinear (cubic) susceptibility in quantum Ising spin glass
• Finite-size scaling analysis of the two-dimensional random transverse-field Ising ferromagnet
• Quantum Monte Carlo simulations of a particle in a random potential
• Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Efficient generation of series expansions for $\pm J$ Ising spin-glasses in a classical or a quantum (transverse) field
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Superfluid-Mott glass quantum multicritical point on a percolating lattice
• Computing quantum phase transitions
• Global optimization in variational quantum algorithms via dynamic tunneling method
• Monte Carlo simulations of a disordered superconductor-metal quantum phase transition
• Amplitude mode at the superfluid-insulator transition on a random lattice
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model
• Dynamic Scaling in Diluted Systems Phase Transitions: Deactivation trough Thermal Dilution
• Energy gap of quantum spin glasses: a projection quantum Monte Carlo study
• Emergence of a superglass phase in the random hopping Bose-Hubbard model
• Semi-Markovian switching in a fluctuating harmonic trap: An age-structured formulation