Screening effects in Coulomb frustrated phase separation

Abstract

We solve a model of phase separation among two competing phases frustrated by the long-range Coulomb interaction in two and three dimensions (2D/3D) taking into account finite compressibility effects. In the limit of strong frustration in 2D, we recover the results of R. Jamei, S. Kivelson, and B. Spivak, Phys. Rev. Lett. 94, 056805 (2005) and the system always breaks into domains in a narrow range of densities, no matter how big is the frustration. For weak frustration in 2D and for arbitrary frustration in 3D the finite compressibility of the phases is shown to play a fundamental role. Our results clarify the different role of screening in 2D and 3D systems. We discuss the thermodynamic stability of the system near the transition to the phase separated state and the possibility to observe it in real systems.

8 pages, 8 figures

References in corpus (15)

• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Equilibrium cluster phases and low-density arrested disordered states: The role of short-range attraction and long-range repulsion
• Singular quasiparticle scattering in the proximity of charge instabilities
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Liquid Crystal Phases of Quantum Hall Systems
• Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field
• Theory of domain patterns in systems with long-range interactions of Coulomb type
• Universal Aspects of Coulomb Frustrated Phase Separation
• Phase separation frustrated by the long range Coulomb interaction I: Theory
• Phase separation frustrated by the long range Coulomb interaction II: Applications
• Charge instabilities at the metamagnetic transition
• Frustrated phase separation in two-dimensional charged systems
• Thermodynamics of volume collapse transitions in cerium and related compounds

Cited by in corpus (15)

• Colloidal systems with competing interactions: from an arrested repulsive cluster phase to a gel
• Hexatic and mesoscopic phases in the 2D quantum Coulomb system
• Phase diagram for Coulomb-frustrated phase separation in systems with negative short-range compressibility
• Coexistence, interfacial energy, and the fate of microemulsions in 2D dipolar bosons
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• Self-organization of charged particles on a 2D lattice subject to anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• Upper bound on the window of density occupied by microemulsion phases in two-dimensional electron systems
• Universality classes for Coulomb frustrated phase separation
• Coarse grained models in Coulomb-frustrated phase separation
• Giant dielectric permittivity and magneto-capacitance effects in low doped manganites
• Dynamical charge and spin density wave scattering in cuprate superconductor
• Phase separation and second-order phase transition in the phenomenological model for Coulomb frustrated 2D system