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The behavior of thermal fluctuations of a superconducting order parameter with extended $ s $ and chiral $ d + id $ symmetry is investigated. The study is carried out on a triangular lattice within the framework of the quasi-two-dimensional…

Strongly Correlated Electrons · Physics 2021-05-26 A. G. Groshev , A. K. Arzhnikov

Recent discovery of the superconducting ground state in Quasicrystals (QCs) has opened up an exciting new avenue for superconductivity based on QCs. However, theoretical studies to date have largely focused on a limited subset of…

Superconductivity · Physics 2025-07-22 Sougata Biswas , Debika Debnath , Paramita Dutta

In multicomponent systems with strong local interaction one can encounter some phenomena absent in the standard systems of statistical physics and other multicomponent systems. Namely, a system with $N$ components in the bounded volume of…

Mathematical Physics · Physics 2012-02-07 V. A. Malyshev

We study a model of two concentric onedimensional rings with incommensurate areas $A_1$ and $A_2$, in a constant magnetic field. The two rings are coupled by a nonhomogeneous inter-ring tunneling amplitude, which makes the one-particle…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 C. M. Canali , W. Stephan , L. Y. Gorelik , R. I. Shekhter , M. Jonson

The interplay between quantum and thermal fluctuations in the presence of quenched random disorder is a long-standing open theoretical problem which has been made more urgent by advances in modern experimental techniques. The fragility of…

Strongly Correlated Electrons · Physics 2025-01-28 Matthew C. O'Brien , Eduardo Fradkin

Spatial fluctuations of the effective pairing interaction between electrons in a superconductor induce variations of the order parameter which in turn lead to significant changes in the density of states. In addition to an overall reduction…

Superconductivity · Physics 2009-11-07 Julia S. Meyer , B. D. Simons

We discuss the reflection of light by a rheoscopic fluid (a suspension of microscopic rod-like crystals) in a steady two-dimensional flow. This is determined by an order parameter which is a non-oriented vector, obtained by averaging…

Fluid Dynamics · Physics 2012-06-13 Michael Wilkinson , Vlad Bezuglyy , Bernhard Mehlig

Exponential averages that appear in integral fluctuation theorems can be recast as a sum over moments of thermodynamic observables. We use two examples to show that such moment series can exhibit non-uniform convergence in certain singular…

Statistical Mechanics · Physics 2022-05-31 Hila Katznelson , Saar Rahav

A novel superconducting state under the broken time-reversal symmetry is studied in conventional phonon-mediated superconductors. By solving the Eliashberg equation self-consistently with the mass renormalization effect, it is found that…

Superconductivity · Physics 2012-03-14 Masashige Matsumoto , Mikito Koga , Hiroaki Kusunose

There is growing evidence, from experiments and numerical simulations, that a key feature of sufficiently disordered superconductors is the spatial inhomogeneity of the order parameter. However not much is known analytically about the…

Superconductivity · Physics 2015-12-02 James Mayoh , Antonio M. García-García

We investigate a system of equally charged Coulomb-interacting particles confined to a toroidal helix in the presence of an external electric field. Due to the confinement, the particles experience an effective interaction that oscillates…

Classical Physics · Physics 2020-08-05 Ansgar Siemens , Peter Schmelcher

In the present study, we focus on the parity of the order parameters and clarify the order formation process in a system including two order parameters. Each order parameter shows each different parity under a gauge transformation, namely…

Statistical Mechanics · Physics 2014-03-10 Yoichiro Hashizume , Masuo Suzuki , Soichiro Okamura

Electron pairing at low temperatures leads to superconductivity. A fundamental question is whether more complex states - characterized by order in four-electron composite objects, termed electron quadrupling or composite order - can exist…

Superconductivity · Physics 2026-02-23 Albert Samoilenka , Egor Babaev

In a one dimensional lattice thermal fluctuations destroy the long-range order making particles of the lattice move on a scale much larger than the lattice spacing. We discuss the assumption that this motion may be responsible for the…

Soft Condensed Matter · Physics 2015-05-13 A. V. Plyukhin

We propose a stochastic order parameter equation for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a non-equilibrium adiabatic boundary condition, where total energy is…

Statistical Mechanics · Physics 2021-06-23 Shin-ichi Sasa , Naoko Nakagawa , Masato Itami , Yohei Nakayama

A quantum phase transition may occur in the ground state of a system at zero temperature when a controlling field or interaction is varied. The resulting quantum fluctuations which trigger the transition produce scaling behavior of various…

Strongly Correlated Electrons · Physics 2014-05-14 Abolfazl Bayat , Henrik Johannesson , Sougato Bose , Pasquale Sodano

We discuss the fixed-point Hamiltonian and the spectrum of excitations of a quasi-bidimensional electronic system supporting simultaneously antiferromamagnetic ordering and superconductivity. The coexistence of these two order parameters in…

Strongly Correlated Electrons · Physics 2015-05-13 J. V. Alvarez , Felix Yndurain

In many materials, ordered phases and their order parameters are easily characterized by standard experimental methods. "Hidden order" refers to a phase transition in which an ordered state emerges without such an easily detectable order…

Within the framework of an exactly solvable model, which takes into account the interaction of fluctuating modes with equal and opposite momenta, we consider phase diagrams in systems with coupled scalar order parameters. We show that, in…

Condensed Matter · Physics 2009-10-31 D. Nicolaides , A. A. Lisyansky

We consider quantum dynamics of the order parameter in the discrete pairing model (Richardson model) in thermodynamic equilibrium. The integrable Richardson Hamiltonian is represented as a direct sum of Hamiltonians acting in different…

Superconductivity · Physics 2014-11-20 Victor Galitski