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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 article, the free energy per component of an isotropic one-dimensional Ginzburg-Landau field with n components was calculated to order n-2 by evaluating the appropriate Feynman graphs.
Abstract: The free energy per component of an isotropic one-dimensional Ginzburg-Landau field with n components is calculated to order n-2 by evaluating the appropriate Feynman graphs. The result agrees with that of Ferrell and Scalapino (1974) obtained by solving the equivalent anharmonic oscillator problem, but the method has greater generality.

14 citations

Journal ArticleDOI
TL;DR: In this paper, a simulation program is implemented and the MFMIS structure is quantitatively analyzed based on Landau theory and stability criterion, and the results show that it can be appropriately designed for both integrated circuits and memory devices by tuning capacitances contributed by MOSFET dielectric stack and ferroelectrics.
Abstract: Due to internal voltage amplification induced by the negative capacitance of ferroelectrics, the metal–ferroelectric–metal–insulator–semiconductor (MFMIS) FET has been widely investigated to explore its potential application in low power devices. Based on Landau theory and stability criterion, a simulation program is implemented and MFMIS structure is quantitatively analyzed. The results show that it can be appropriately designed for both integrated circuits and memory devices by tuning capacitances contributed by MOSFET dielectric stack and ferroelectrics. Our simulation results on electrical characteristics of ferroelectric devices agree well with both quasi-static and dynamic experimental observations. The influence of the ferroelectric/dielectric layer thickness and area as well as temperature on hysteretic polarization-electric field characteristic of a ferroelectric are successfully explained. For a C–V loop sweeping over the gate voltage in MFMIS, possible asymmetry in the accessible negative capacitance region is also interpreted. Moreover, experimentally observed reduction in the equivalent capacitance of the ferroelectric–dielectric bilayer at high frequency is confirmed by Landau–Khalatnikov theory based simulation. Our work provides a more complete and explicit analytical treatment to understand the effect of negative capacitance of a ferroelectric on device performance.

14 citations

Journal ArticleDOI
TL;DR: In this article, the Ginzburg-Landau energy of a single vortex was studied and an asymptotic rate of equipartitioning of the energy along each direction was shown to be optimal up to a constant.
Abstract: We study the Ginzburg-Landau energy of a single vortex and prove a quantitative estimate for the anisotropy of the stress-energy tensor. In particular we establish an asymptotic rate of equipartitioning of the energy along each direction. By means of an explicit example, this rate is shown to be optimal up to a constant. The result has applications in the study of the nonlinear wave equation and Ginzburg-Landau heat flow.

14 citations

Journal ArticleDOI
TL;DR: In this article, a fluctuation theory approach to a cooperativity onset of the dynamic glass transition is described, and the experimental indications can analytically be reproduced by means of a Landau order parameter expansion adapted to dominance of fluctuation in a free volume approach.
Abstract: A fluctuation theory approach to a cooperativity onset of the dynamic glass transition is described. Recent dielectric and heat capacity spectroscopy (HCS) experiments for several random copolymers of n-butyl methacrylate with styrene indicate a steep linear increase of relaxation intensities (Δe, ΔCp) and of square root of cooperativity (Nα 1/2 ) as function of temperature below the onset. A quasi continuous description is derived from kinetic molecular randomness. This description can be applied to small cooperativity near the onset. The experimental indications can analytically be reproduced by means of a Landau order parameter expansion adapted to dominance of fluctuation in a free volume approach to the dynamic glass transition. An important parameter of the approach is the minimal cooperativity of order Nα min 1. The sharp onset obtained in the extrapolation is associated with the construction of a large conditionality raster. Far below the onset, the size of cooperativity at the glass temperature is theoretically estimated to be of order N α (Tg) 100 molecules. A new interpretation of the WLF asymptote 1g Ω is suggested.

14 citations

Journal ArticleDOI
TL;DR: In this article, a methodology is developed which employs the Landau-Ginsburg theory for characterizing phase transitions in infinite systems to identify phase transition remnants in finite fermion systems.
Abstract: Given the spectrum of a Hamiltonian, a methodology is developed which employs the Landau-Ginsburg theory for characterizing phase transitions in infinite systems to identify phase transition remnants in finite fermion systems. As a first application of our appproach we discuss pairing in finite nuclei.

14 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202317
202242
202142
202041
201949
201855