Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
arXiv:cond-mat/0604063 · doi:10.1103/PhysRevB.74.224448
Abstract
We propose a general mechanism of random-field-induced order (RFIO), in which long-range order is induced by a random field that breaks the continuous symmetry of the model. We particularly focus on the case of the classical ferromagnetic XY model on a 2D lattice, in a uniaxial random field. We prove rigorously that the system has spontaneous magnetization at temperature T=0, and we present strong evidence that this is also the case for small T>0. We discuss generalizations of this mechanism to various classical and quantum systems. In addition, we propose possible realizations of the RFIO mechanism, using ultracold atoms in an optical lattice. Our results shed new light on controversies in existing literature, and open a way to realize RFIO with ultracold atomic systems.
published version; 8 pages, 3 figures
References in corpus (26)
- Cold bosonic atoms in optical lattices
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- A toolbox for lattice spin models with polar molecules
- Effective quantum spin systems with ion traps
- Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
- A Bose-Einstein condensate in a random potential
- Atomic Bose and Anderson glasses in optical lattices
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
- Implementation of Spin Hamiltonians in Optical Lattices
- Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
- Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Matterwave localization in disordered cold atom lattices
- The ALPS project: open source software for strongly correlated systems
- Bose-Einstein Condensates in Optical Quasicrystal Lattices
- Localization of Matter Waves in 2D-Disordered Optical Potentials
- Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation
- Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance
- Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials
- Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
- Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate
- Effect of Disorder on Charge Density Wave and Superconducting Order in the Half-Filled Attractive Hubbard Model
- Mean-field theory of Bose-Fermi mixtures in optical lattices
- Analysis of Localization Phenomena in Weakly Interacting Disordered Lattice Gases
Cited by in corpus (48)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Disordered quantum gases under control
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Quantum discord and its allies: a review
- On Larkin-Imry-Ma State of 3He-A in Aerogel
- Breaking through the Mermin-Wagner limit in 2D van der Waals magnets
- Order from Disorder in Graphene Quantum Hall Ferromagnet
- Enhancement of long range correlations in a 2D vortex lattice by incommensurate 1D disorder potential
- Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
- Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
- Disorder-Driven Density and Spin Self-Ordering of a Bose-Einstein Condensate in a Cavity
- Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder
- Disorder-Induced Order in Two-Component Bose-Einstein Condensates
- Quantum Battery with Ultracold Atoms: Bosons vs. Fermions
- Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
- Transport regimes of cold gases in a two-dimensional anisotropic disorder
- Disorder-Induced Order in Quantum XY Chains
- Disorder-Induced Phase Control in Superfluid Fermi-Bose Mixtures
- Two-component Bose gases with one-body and two-body couplings
- On Random Field Induced Ordering in the Classical XY Model
- Random Field Induced Order in Low Dimension
- Classical Spin Models with Broken Continuous Symmetry: Random Field Induced Order and Persistence of Spontaneous Magnetization
- Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
- Quantum optics and frontiers of physics: The third quantum revolution
- Role of thermal two-phonon scattering for impurity dynamics in a low-dimensional BEC
- Physical limitations of the Hohenberg-Mermin-Wagner theorem
- Thermal Fluctuations Enhance Order-from-Disorder of Quantum Correlations in Quenched Disordered Spin Models
- The ground state of binary systems with a periodic modulation of the linear coupling
- Spontaneous magnetization of quantum spin model in joint presence of quenched and annealed disorder
- Fermion- and Spin-Counting in Strongly Correlated Systems
- Order-from-disorder and critical scalings of spontaneous magnetization in random-field quantum spin systems
- Stark localization near Aubry-André criticality
- Superfluids, Fluctuations and Disorder
- Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity
- Moving binary Bose-Einstein condensates in a weak random potential
- A Mechanism of Long-Range Order Induced by Random Local Fields: Effective Anisotropy Created by Defects
- Loss and Recovery of Gibbsianness for XY models in external fields
- Binary Bose-Einstein condensates in a disordered time-dependent potential
- Long-range order induced by random fields in two-dimensional O(n) models, and the Imry-Ma state
- Self-consistent Bogoliubov de Gennes theory of the vortex lattice state in a two-dimensional strong type-II superconductor at high magnetic fields
- Imry-Ma disordered state induced by defects of "random local anisotropy" type in the system with O(n) symmetry
- Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
- Phase diagram for the O(n) model with defects of "random local field" type and verity of the Imry-Ma theorem
- Random-field-induced order in bosonic t-J model
- Emergent Time Crystal with Tunable Period in the Uniaxial Random Field XY Magnet
- Localization with non-Hermitian off-diagonal disorder