Avoided Critical Behavior in O(n) Systems

Abstract

Long-range frustrating interactions, even if their strength is infinitesimal, can give rise to a dramatic proliferations of ground or near-ground states. As a consequence, the ordering temperature can exhibit a discontinuous drop as a function of the frustration. A simple model of the doped Mott insulator, where the short-range tendency of the holes to phase separate competes with long-range Coulomb effects, exhibits this "avoided critical" behavior. This model may serve as a paradigm for many other systems.

4 pages, 2 figures

Cited by in corpus (45)

• Theoretical perspective on the glass transition and amorphous materials
• The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
• Stripe glasses: self generated randomness in a uniformly frustrated system
• Phase behavior of a fluid with competing attractive and repulsive interactions
• Dimensional Crossover in Quasi One-Dimensional and High T_c Superconductors
• A model colloidal fluid with competing interactions: bulk and interfacial properties
• Competing Order in the Mixed State of High Temperature Superconductors
• Avoided Phase Transitions and Glassy Dynamics In Geometrically Frustrated Systems and Non-Abelian Theories
• Self generated randomness, defect wandering and viscous flow in stripe glasses
• Pattern formation and glassy phase in the ${\varphi }^4$ theory with screened electrostatic repulsion
• Phase diagram of an Ising model with long-range frustrating interactions: a theoretical analysis
• Phase diagram for Coulomb-frustrated phase separation in systems with negative short-range compressibility
• Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts
• The viscous slowing down of supercooled liquids as a temperature-controlled superArrhenius activated process: a description in terms of frustration-limited domains
• Freezing and correlations in fluids with competing interactions
• A Monte Carlo study of the three-dimensional Coulomb frustrated Ising ferromagnet
• Lamellar order, microphase structures and glassy phase in a field theoretic model for charged colloids
• Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
• Towards the ab initio based theory of the phase transformations in iron and steel
• Stripe width and non-local domain walls in the two-dimensional Dipolar Frustrated Ising Ferromagnet
• Modulation and correlations lengths in systems with competing interactions
• Electronic phase separation in iron pnictides
• Two-dimensional colloidal fluids exhibiting pattern formation
• A Scaling Hypothesis for Modulated Systems
• Evidence for "fragile" glass-forming behavior in the relaxation of Coulomb frustrated three-dimensional systems
• High temperature correlation functions: universality, extraction of exchange interactions, divergent correlation lengths and generalized Debye length scales
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Universality of modulation length (and time) exponents
• A Monte Carlo Approach for Studying Microphases Applied to the Axial Next-Nearest-Neighbor Ising and the Ising-Coulomb Models
• Effect of magnetism on kinetics of "gamma"-"alpha" transformation and pattern formation in iron
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• Compass and Kitaev models -- Theory and Physical Motivations
• Topological defects, pattern evolution, and hysteresis in thin magnetic films
• One-dimensional Ising ferromagnet frustrated by long-range interactions at finite temperatures
• Universality classes for Coulomb frustrated phase separation
• Nonuniversal routes to universality: Critical phenomena in colloidal dispersions
• Critical Phenomena in Hyperbolic Space
• Intrinsic nanoscale inhomogeneity in ordering systems due to elastic-mediated interactions
• Dynamical charge and spin density wave scattering in cuprate superconductor
• Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition
• Lessons from $O(N)$ models in one dimension
• On the coexistence of dipolar frustration and criticality in ferromagnets
• Inhomogeneous Phases in a Double-Exchange Magnet with Long Range Coulomb Interactions
• Self-organized electronic superlattices in layered materials
• Thermally Increasing Correlation/Modulation Lengths and Other Selection Rules in Systems with Long Range Interactions