Stability of Elastic Glass Phases in Random Field XY Magnets and Vortex Lattices in Type II Superconductors

Abstract

A description of a dislocation-free elastic glass phase in terms of domain walls is developed and used as the basis of a renormalization group analysis of the energetics of dislocation loops added to the system. It is found that even after optimizing over possible paths of large dislocation loops, their energy is still very likely to be positive when the dislocation core energy is large. This implies the existence of an equilibrium elastic glass phase in three dimensional random field X-Y magnets, and a dislocation free, bond-orientationally ordered ``Bragg glass'' phase of vortices in dirty Type II superconductors.

12 pages, Revtex, no figures, submitted to Phys Rev Letters

Cited by in corpus (88)

• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Moving glass theory of driven lattices with disorder
• Nonequilibrium Steady States of Driven Periodic Media
• Pinning and Sliding of Driven Elastic Systems: from Domain Walls to Charge Density Waves
• The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states
• Theory of the striped superconductor
• A Bragg glass phase in the vortex lattice of a type II superconductor
• Smectic Liquid Crystals in Random Environments
• Wigner Glass, Spin-liquids, and the Metal-Insulator Transition
• Dislocations and the critical endpoint of the melting line of vortex line lattices
• Disorder in quantum many-body systems
• Smectic ordering in liquid crystal - aerosil dispersions I. X-ray scattering
• The Phase Diagram of Disordered Vortices from London Langevin Simulations
• A unified picture of ferromagnetism, quasi-long range order and criticality in random field models
• Theory of plastic vortex creep
• Absence of Two-Dimensional Bragg Glasses
• Absence of a Zero Temperature Vortex Solid Phase in Strongly Disordered Superconducting Bi Films
• Vortices Freeze like Window Glass: the Vortex Molasses Scenario
• Driven Dynamics of Periodic Elastic Media in Disorder
• Nematic--to--Smectic-A Transition in Aerogel
• Quasi-long range order in glass states of impure liquid crystals, magnets, and superconductors
• Swarming in the Dirt: Ordered Flocks with Quenched Disorder
• Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder
• Disorder Driven Melting of the Vortex Line Lattice
• Fate of the Peak Effect in a Type-II Superconductor: Multicriticality in the Bragg-Glass Transition
• Topological Order in the Phase Diagram for High-Temperature Superconductors with Point Defects
• Theory of magnetic skyrmion glass
• Energetics and geometry of excitations in random systems
• Dynamic Melting and Decoupling of the Vortex Lattice in Layered Superconductors
• Hydrogen-bonded Silica Gels Dispersed in a Smectic Liquid Crystal: A Random Field XY System
• Random Field XY Model in Three Dimensions
• Hydrodynamic Theory of Flocking in the Presence of Quenched Disorder
• Glass phase of two-dimensional triangular elastic lattices with disorder
• Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder
• Vortices in coupled planes with columnar disorder and bosonic ladders
• Dislocations and Bragg glasses in two dimensions
• Smectic Liquid Crystals in an Anisotropic Random Environment
• Structure of Flux Line Lattices with Weak Disorder at Large Length Scales
• Relaxation and Glassy Dynamics in Disordered Type-II Superconductors
• Two new topologically ordered glass phases of smectics confined in anisotropic random media
• Chaos and plasticity in superconductor vortices: a low-dimensional dynamics
• "Soft" Anharmonic Vortex Glass in Ferromagnetic Superconductors
• Nonuniversal Correlations and Crossover Effects in the Bragg-Glass Phase of Impure Superconductors
• Disorder-Induced Topological Defects in a d=2 Elastic Medium at Zero Temperature
• Domain walls and chaos in the disordered SOS model
• Non-Universal Quasi-Long Range Order in the Glassy Phase of Impure Superconductors
• Bragg-Bose glass phase in vortex states of high-$T_{\mathrm{c}}$ superconductors with sparse and weak columnar defects
• A New Disorder Driven Roughening Transition of CDW's and Flux Line Lattices
• Domain regime in two-dimensional disordered vortex matter
• Bragg glass signatures in Pd${}_x$ErTe${}_3$ with X-ray diffraction Temperature Clustering (X-TEC)
• Simulation of the Zero Temperature Behavior of a 3-Dimensional Elastic Medium
• Spin and pair density wave glasses
• Relaxation dynamics of vortex lines in disordered type-II superconductors following magnetic field and temperature quenches
• Ordered magnetism in the intrinsically decorated $j{}_{\mathrm{eff}}$ = $\frac{1}{2}$ $\alpha$-CoV${}_3$O${}_8$
• A Discotic Disguised as a Smectic: A Hybrid Columnar Bragg Glass
• Disorder Driven Critical Behavior of Periodic Elastic Media in a Crystal Potential
• Packed swarms on dirt: two-dimensional incompressible flocks with quenched and annealed disorder
• Interstitials, Vacancies and Dislocations in Flux-Line Lattices: A Theory of Vortex Crystals, Supersolids and Liquids
• Random Field and Random Anisotropy Effects in Defect-Free Three-Dimensional XY Models
• Grain boundaries in vortex matter
• Amorphous Vortex Glass Phase in Strongly Disordered Superconductors
• Thermal depinning and transverse-field tilting transitions in a planar vortex array pinned by a columnar defect
• On the Incommensurate Phase of Pure and Doped Spin-Peierls System CuGeO_3
• Disordered periodic systems at the upper critical dimension
• Stability and distortions of liquid crystal order in a cell with a heterogeneous substrate
• Domain Growth and Aging in the Random Field XY Model: A Monte Carlo Study
• Hydrodynamic theory of two-dimensional incompressible polar active fluids with quenched and annealed disorder
• Dislocations in the ground state of the solid-on-solid model on a disordered substrate
• Characterization of relaxation processes in interacting vortex matter through a time-dependent correlation length
• Ordered vs Disordered States of the Random-Field Model in Three Dimensions
• Random Field XY Model in Three Dimensions: The Role of Vortices
• Exact form of the exponential correlation function in the glassy super-rough phase
• B(H) Constitutive Relations Near H_c1 in Disordered Superconductors
• Unified Phase Diagram for the Three-Dimensional XY Model of a Point Disordered Type-II Superconductor
• Nonequilibrium steady states of driven magnetic flux lines in disordered type-II superconductors
• Smectic order, pinning, and phase transition in a smectic liquid crystal cell with a random substrate
• Flux line relaxation kinetics following current quenches in disordered type-II superconductors
• Incompressible polar active fluids with quenched disorder in dimensions $d>2$
• Flux-lattice melting in two-dimensional disordered superconductors
• Effect of Dilute Random Field on Continuous-Symmetry Order Parameter
• The Smectic A to C Phase Transition in Isotropic Disordered Environments
• Nonequilibrium Kosterlitz-Thouless transition in a three-dimensional driven disordered system
• Critical behaviours of anisotropic XY ferromagnet in the presence of random field
• Smectics $A$ and $C$, and the Transition between them, in Uniaxial Disordered Environments
• Smectic vortex glass
• Coulombian Disorder in Periodic Systems
• The Smectic $A$-$C$ Phase Transition in Biaxial Disordered Environments