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Fluctuating superconductivity - vestigial Cooper pairing in the resistive state of a material - is usually associated with low dimensionality, strong disorder or low carrier density. Here, we report single particle spectroscopic,…

The quantum condensate of Cooper-pairs forming a superconductor was originally conceived to be translationally invariant. In theory, however, pairs can exist with finite momentum $Q$ and thereby generate states with spatially modulating…

Phase fluctuations of the superconducting order parameter play a larger role in the cuprates than in conventional BCS superconductors because of the low superfluid density of a doped insulator. In this paper, we analyze an XY model of…

Superconductivity · Physics 2009-10-31 E. W. Carlson , S. A. Kivelson , V. J. Emery , E. Manousakis

We study the two-dimensional spin-charge separated Ginzburg-Landau theory containing U(1) gauge interactions as a semi-phenomenological model describing fluctuating condensates in high temperature superconductivity. Transforming the…

Superconductivity · Physics 2009-10-31 Atsuya Kumagai , Masahiko Hayashi , Hiromichi Ebisawa

Quantum phase fluctuations play a crucial role in low dimensional systems. In particular they prevent true long range phase order from forming in one dimensional condensates, even at zero temperature. Nevertheless, by dynamically splitting…

Other Condensed Matter · Physics 2009-11-11 Rafi Bistritzer , Ehud Altman

The particle-number fluctuations originated from collective excitations are investigated for a three-dimensional, repulsively interacting Bose-Einstein condensate (BEC) confined in a harmonic trap. The contribution due to the quantum…

Soft Condensed Matter · Physics 2009-11-10 Shujuan Liu , Hongwei Xiong , Guoxiang Huang , Zhijun Xu

High transition temperature superconductors in cuprates exhibit the charge-density-wave fluctuations and the ferromagnetic time-reversal-symmetry-breaking fluctuation in the polar Kerr rotation experiments. We demonstrate that they share…

Strongly Correlated Electrons · Physics 2018-07-06 Mu-Kun Lee , Tsung-Sheng Huang , Chyh-Hong Chern

The mutual interaction between Cooper pairs is proposed as a mechanism for the superconducting state. Above $T_c$, pre-existing but fluctuating Cooper pairs give rise to the unconventional {\it pseudogap} (PG) state, well-characterized by…

Superconductivity · Physics 2015-09-30 William Sacks , Alain Mauger , Yves Noat

We investigate the superfluid phase transition and effects of mass imbalance in the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover regime of an cold Fermi gas. We point out that the Gaussian fluctuation theory…

Quantum Gases · Physics 2013-07-11 Ryo Hanai , Takashi Kashimura , Ryota Watanabe , Daisuke Inotani , Yoji Ohashi

When Cooper pairs are formed with finite center-of-mass momentum, the defining characteristic is a spatially modulating superconducting energy gap $\Delta(r)$. Recently, this concept has been generalized to the pair density wave (PDW) state…

We generalize the Fredrickson-Helfand theory of the microphase separation in symmetric diblock copolymer melts by taking into account the influence of a time-independent homogeneous electric field on the composition fluctuations within the…

Soft Condensed Matter · Physics 2009-11-13 I. Gunkel , S. Stepanow , T. Thurn-Albrecht , S. Trimper

We review some recent developments in the field of quasi-one-dimensional superconductivity. We demonstrate that low temperature properties of superconducting nanowires are essentially determined by quantum fluctuations. Smooth (Gaussian)…

Superconductivity · Physics 2022-04-18 Andrew G. Semenov , Andrei D. Zaikin

Fluctuations are a key property of both classical and quantum systems. While the fluctuations are well understood for many quantum systems at zero temperature, the case of an interacting quantum system at finite temperature still poses…

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

Superconductivity · Physics 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov

The possibility of driving phase transitions in low-density condensates through the loss of phase coherence alone has far-reaching implications for the study of quantum phases of matter. This has inspired the development of tools to control…

We theoretically study the thermodynamic properties of a strongly interacting Fermi gas at the crossover from a Bardeen-Cooper-Schrieffer (BCS) superfluid to a Bose-Einstein condensate (BEC), by applying a recently outlined strong-coupling…

Quantum Gases · Physics 2022-01-14 Brendan C. Mulkerin , Xing-Can Yao , Yoji Ohashi , Xia-Ji Liu , Hui Hu

We investigate the microscopic mechanism of charge instabilities and the formation of inhomogeneous states in systems with strong electron correlations. It is demonstrated that within a strong coupling expansion the single-band Hubbard…

Superconductivity · Physics 2020-11-02 A. Bill , V. Hizhnyakov , R. K. Kremer , G. Seibold , A. Shelkan , A. Sherman

We study the condensation phenomenon for the invariant measures of the mean-field model of reversible coagulation-fragmentation processes conditioned to a supercritical density of particles. It is shown that when the parameters of the…

Probability · Mathematics 2024-04-16 Wen Sun

We study the equilibrium dynamics of the relative phase in a superconducting Josephson link taking into account the quantum fluctuations of the electromagnetic vacuum. The photons act as a superohmic heat bath on the relative Cooper pair…

Superconductivity · Physics 2009-11-10 H. Kohler , F. Guinea , F. Sols

Using the Gaussian pair fluctuation theory, we investigate quantum fluctuations of a strongly interacting two-dimensional chiral \textit{p}-wave Fermi superfluid at the transition from a Bose-Einstein condensate (BEC) to a topologically…

Quantum Gases · Physics 2018-12-12 Hui Hu , Brendan C. Mulkerin , Lianyi He , Jia Wang , Xia-Ji Liu