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We propose that the finite-frequency susceptibility of matter near a class of zero-temperature phase transition exhibits distinctive excitonic structure similar to meson resonances. The specific case of a Landau level undergoing a…

Superconductivity · Physics 2007-05-23 B. A. Bernevig , D. Giuliano , R. B. Laughlin

To overcome the difficulties with the energy indefiniteness in field theories with higher derivatives, it is supposed to use the mechanical analogy, the Timoshenko theory of the transverse flexural vibrations of beams or rods well known in…

High Energy Physics - Theory · Physics 2011-07-19 A. M. Chervyakov , V. V. Nesterenko

For classical field theories with probabilistic initial conditions the classical field observables are an idealization. Their arbitrarily precise values poorly reflect the characteristic uncertainty in the presence of substantial…

Quantum Physics · Physics 2026-03-06 Christof Wetterich

Superstring theory, and a recent extension called M theory, are leading candidates for a quantum theory that unifies gravity with the other forces. As such, they are certainly not ordinary quantum field theories. However, recent duality…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

In Ginzburg-Landau Theory of superconductivity, the density and location of the superconducting electrons are measured by a complex-valued wave function, the order parameter. In this paper, when the intensity of the applied magnetic field…

Analysis of PDEs · Mathematics 2016-10-31 Ayman Kachmar

We propose a simple model for superconductors endowed with two critical temperatures, corresponding to two second-order phase transitions, in the framework of the Ginzburg-Landau mean-field theory. For very large Cooper pair…

Superconductivity · Physics 2007-05-23 E. Di Grezia , S. Esposito , G. Salesi

We look at the influence of external fields on systems described by generic free energy functional of the order parameter. The external force may have arbitrary spatial dependence, and the order parameter coupling may be nonlinear. The…

Statistical Mechanics · Physics 2023-01-05 Roni Kroll , Yoav Tsori

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters,…

Superconductivity · Physics 2025-10-31 Harald Waje , Fabian Jakubczyk , Jeroen van den Brink , Carsten Timm

We give a brief overview of the properties of a higher dimensional generalization of matrix model which arises naturally in the context of a background independent approach to quantum gravity, the so called group field theory. We show that…

High Energy Physics - Theory · Physics 2011-05-05 Laurent Freidel

The raise of the symmetry breaking mechanism by Landau[1] is a landmark in the studies of phase transitions. The Kosterlitz-Thouless phase transition[2-3] and the fractional quantum Hall effect[4], however, are believed to be induced by…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Yangfan Hu

The general Ginzburg-Landau formulation of a holographic superconductor is developed near the transition temperature in the probe limit for two kinds of conformal dimension. Below the transition temperature, $T<T_c$, the order-parameter…

High Energy Physics - Theory · Physics 2017-03-22 Lei Yin , Defu Hou , Hai-cang Ren

We propose an analytical Landau-Ginzburg theory of the charge density waves coupled with lattice and electronic long-range order parameters. Examples of long-range order include electronic wave function of superconducting Cooper pairs,…

Materials Science · Physics 2023-05-16 Anna Morozovska , Eugene Eliseev , Venkatraman Gopalan , Long-Qing Chen

The quantum critical dynamics of the quantum phase transitions is considered. In the framework of the unified theory, based on the Keldysh technique, we consider the crossover from the classical to the quantum description of the boson…

Statistical Mechanics · Physics 2014-01-08 Mikhail Vasin

We theoretically determine the Ginzburg-Landau slopes of the anisotropic upper critical magnetic field in a quasi-one-dimensional superconductor and correct the previous works on this issue. By using the experimentally measured values of…

Superconductivity · Physics 2012-01-19 Andrei Lebed

The Landau expansion for the free energy of the superconducting mixed state near the upper critical field in powers of the square modulus of the order parameter averaged over Abrikosov lattice is derived. The analytical calculations has…

Superconductivity · Physics 2016-08-31 V. P. Mineev

The emergence of complex macroscopic phenomena from a small set of parameters and microscopic concepts demonstrates the power and beauty of physical theories. A theory which relates the wealth of data and peculiarities found in nuclei to…

Nuclear Theory · Physics 2016-05-18 Johannes Kirscher

The integrability of the generalized Benney hierarchy with three primary fields is investigated from the point of view of two-dimensional topological field theories coupled to gravity. The associated primary free energy and correlation…

High Energy Physics - Theory · Physics 2007-05-23 Jen-Hsu Chang , Ming-Hsien Tu

Motivated by recent experiments on fermionic rings, we study the asymptotic behaviour of minimizers of the Ginzburg-Landau (GL) energy in an annulus with a Dirichlet data which depends on the GL parameter on the outer boundary. We show that…

Analysis of PDEs · Mathematics 2025-11-13 Amandine Aftalion , Rémy Rodiac

We argue that the conventional construction for quantum fields in curved spacetime has a grave drawback: It involves an uncountable set of physical field systems which are nonequivalent with respect to the Bogolubov transformations, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich