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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: The probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends is studied, and an exact Landau theory which captures the different singular behaviors is derived.
Abstract: We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a host of possible phase transitions both in and out of equilibrium are derived. These transitions manifest themselves as singularities in the large deviation function, resulting in enhanced current fluctuations. Microscopic models which implement each of the scenarios are presented, with possible experimental realizations. Depending on the model, the singularity is associated either with a particle-hole symmetry breaking, which leads to a continuous transition, or in the absence of the symmetry with a first-order phase transition. An exact Landau theory which captures the different singular behaviors is derived.
85 citations
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TL;DR: In this paper, a general power counting scheme for the infrared limit of Landau gauge SU (N ) Yang-Mills theory in arbitrary dimensions was developed. But the results were limited to the case of 2, 3 and 4.
85 citations
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TL;DR: In this article, the influence of surface on first-order phase transitions is reviewed and a variety of universal surface exponents are calculated within Landau theory for space dimension d>3, and within effective interface models for d=2 and d=3.
Abstract: Recent theoretical work about the influence of a surface on first‐order phase transitions is reviewed. Several types of surface‐induced disorder (SID) and surface‐induced order (SIO) transitions are discussed. These transitions exhibit interface delocalization phenomena, long‐range correlations, and critical behavior of local surface quantities. As a consequence, a variety of universal surface exponents can be defined although there are no bulk exponents. These surface exponents are calculated within Landau theory which is valid for space dimension d>3, and within effective interface models for d=2 and d=3. An estimate of finite size effects on SID and SIO is also given. Finally, it is discussed which critical effects at SID and SIO should be most easily accessible to experiments and to computer simulations.
85 citations
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TL;DR: Drawing on fresh experimental data, it is shown that the complex phase behavior reported here can be fully accommodated within the framework of a simple Landau theory.
Abstract: The bilayer ruthenate Sr3Ru2O7 has been cited as a textbook example of itinerant metamagnetic quantum criticality. However, recent studies of the ultrapure system have revealed striking anomalies in magnetism and transport in the vicinity of the quantum critical point. Drawing on fresh experimental data, we show that the complex phase behavior reported here can be fully accommodated within the framework of a simple Landau theory. We discuss the potential physical mechanisms that underpin the phenomenology, and assess the capacity of the ruthenate system to realize quantum tricritial behavior.
85 citations
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TL;DR: The role of fluctuations in the breakdown ofmean-field theory in the new high-T/sub c/ perovskite superconductors is analyzed and it is found that for certain sets of observed parameters for these materials, a breakdown of mean- field theory is to be expected.
Abstract: The role of fluctuations in the breakdown of mean-field theory in the new high-${T}_{c}$ perovskite superconductors is analyzed. Both the breakdown of the classical critical exponents (the Ginzburg criterion) and the quantitative breakdown of mean-field theory (the Brout criterion) are discussed. It is found that for certain sets of observed parameters for these materials, a breakdown of mean-field theory is to be expected.
85 citations