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Landau theory
About: Landau theory is a research topic. Over the lifetime, 2882 publications have been published within this topic receiving 57078 citations.
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TL;DR: In this paper, the effective field theory of low energy excitations in a conductor, the Landau theory of Fermi liquids, and explain why the high-$T_c$ superconductors must be described by different effective field theories.
Abstract: This is an introduction to the method of effective field theory. As an application, I derive the effective field theory of low energy excitations in a conductor, the Landau theory of Fermi liquids, and explain why the high-$T_c$ superconductors must be described by a different effective field theory.
133 citations
TL;DR: A simple natural Landau theory of two- or three-component systems is described, which appears to give a region of the phase diagram in which quasicrystalline ordering is the state of lowest free energy.
Abstract: A simple natural Landau theory of two- or three-component systems is described, which appears to give a region of the phase diagram in which quasicrystalline ordering is the state of lowest free energy. The quasicrystals are stabilized by special geometric relations between the length scales characterizing the components. Three components are required to stabilize a two-dimensional quasicrystal (a Penrose tiling) but two components suffice to stabilize an icosahedral three-dimensional quasicrystal.
132 citations
TL;DR: In this article, a discussion of the homogeneous Landau theory for bulk ferroelectrics with spatially uniform polarizations is presented, and the enigmatic extrapolation length is described with remarks about its underlying physical meaning.
Abstract: This contribution begins with a discussion of the homogeneous Landau theory for bulk ferroelectrics with spatially uniform polarizations, reviewing first- and second-order transitions and the dielectric response. Next, we allow the polarization to vary with position within a bulk sample, and discuss Landau–Ginzburg theory and correlation functions. Surface boundary conditions, corresponding to the situation for thin films, are then added and the resulting polarization profile is discussed. Here, screening effects, depolarization fields and strain will be important. The enigmatic extrapolation length is described with remarks about its underlying physical meaning. Then we switch to a treatment of inhomogeneous systems in the bulk, where strain effects and domain formation become very important. We end with a number of open questions for further exploration. Generally, we emphasize the underlying philosophy and methodology of this phenomenology.
132 citations
132 citations
TL;DR: In this paper, a chain of singly charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number.
Abstract: A chain of singly charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number. This structural change is a phase transition of second order, whose order parameter is the crystal displacement from the chain axis. We study analytically the transition using Landau theory and find full agreement with numerical predictions by Schiffer [Phys. Rev. Lett. 70, 818 (1993)] and Piacente et al. [Phys. Rev. B 69, 045324 (2004)]. Our theory allows us to determine analytically the system's behavior at the transition point.
129 citations