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The purpose of this work is to investigate the role of the lattice in the optical Kubo sum rule in the cuprates. We compute conductivities, optical integrals W, and \Delta W between superconducting and normal states for 2-D systems with…

Strongly Correlated Electrons · Physics 2015-05-14 Saurabh Maiti , Andrey V. Chubukov

The angular dependence of the first-order phase transition (FOT) in the vortex lattice in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8}$ crystals was investigated by a low frequency AC shielding technique (with the AC field $\parallel c$), in which the…

Superconductivity · Physics 2015-06-25 M. Konczykowski , C. J. van der Beek , M. V. Indenbom , E. Zeldov

We investigate fluctuations of Josephson-coupled pancake vortices in layered superconductors in the presence of columnar defects. We study the thermodynamics of a single pancake stack pinned by columnar defects and obtain the temperature…

Condensed Matter · Physics 2009-10-28 Alexis E. Koshelev , Pierre Le Doussal , Valerii M. Vinokur

Spin-orbit coupling in two-dimensional systems is usually characterized by Rashba and Dresselhaus spin-orbit coupling (SOC) linear in the wave vector. However, there is a growing class of materials which instead support dominant SOC cubic…

Mesoscale and Nanoscale Physics · Physics 2021-05-03 Mohammad Alidoust , Chenghao Shen , Igor Zutic

Several new features arise in the ground-state phase diagram of a spin-1 condensate trapped in an optical trap when the magnetic dipole interaction between the atoms is taken into account along with confinement and spin precession. The…

Quantum Gases · Physics 2010-02-06 Jonas A. Kjäll , Andrew M. Essin , Joel E. Moore

The Thomas-Reiche-Kuhn sum rule is a fundamental consequence of the position-momentum commutation relation for an atomic electron and it provides an important constraint on the transition matrix elements for an atom. Here we propose a TRK…

Quantum Physics · Physics 2021-03-23 Salvatore Savasta , Omar Di Stefano , Franco Nori

We theoretically investigate the spin-dipole oscillation of a strongly interacting Fermi gas in a harmonic trap. By using a combined diagrammatic strong-coupling theory with a local density approximation and a sum rule approach, we clarify…

Quantum Gases · Physics 2020-01-22 Hiroyuki Tajima , Alessio Recati , Yoji Ohashi

At high densities fluids of strongly dipolar spherical particles exhibit spontaneous long-ranged orientational order. Typically, due to demagnetization effects induced by the long range of the dipolar interactions, the magnetization…

Soft Condensed Matter · Physics 2009-10-30 B. Groh , S. Dietrich

We report a detailed study of the vortex dynamics and vortex phase diagrams of two amorphous Ta_0.3Ge_0.7/Ge multilayered films with intrinsic coplanar defects, but different interlayer coupling. A pinned Bose-glass phase in the more weakly…

Superconductivity · Physics 2007-05-23 A. Engel , H. J. Trodahl , J. C. Abele , D. Smith , S. M. Robinson

For a system with a fixed number of electrons, the total optical sum is a constant, independent of many-body interactions, of impurity scattering and of temperature. For a single band in a metal, such a sum rule is no longer independent of…

Superconductivity · Physics 2009-11-10 A. Knigavko , J. P. Carbotte , F. Marsiglio

We derive and prove an explicit formula for the sum of the fractional parts of certain geometric series. Although the proof is straightforward, we have been unable to locate any reference to this result. This summation formula allows us to…

Dynamical Systems · Mathematics 2021-09-15 J. J. P. Veerman , L. S. Fox , P. J. Oberly

We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we…

Superconductivity · Physics 2024-10-22 Mikhail S. Kalenkov , Andrei D. Zaikin

The nature of the resistive transition for a current applied parallel to the magnetic field in high-Tc materials is investigated by numerical simulation on the three dimensional Josephson junction array model. It is shown by using finite…

supr-con · Physics 2009-10-28 E. A. Jagla , C. A. Balseiro

It is shown that coherent scatterings by an ordered vortex lattice are critically enhanced for quasi particles moving in cyclotron orbits on the Fermi surface through vortex core regions, thus generating significant quasi-periodic…

Superconductivity · Physics 2012-10-12 T. Maniv , V. Zhuravlev

In superconductors with three or more components, time-reversal symmetry may be broken when the inter-component couplings are repulsive, leading to a superconducting state with two-fold degeneracy. When prepared carefully there is a stable…

Superconductivity · Physics 2015-12-29 Zhao Huang , Xiao Hu

We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi gases in the simplest two-component case including both thermodynamic instabilities and collective excitations. The magnetic dipolar interaction is invariant under…

Quantum Gases · Physics 2012-05-29 Yi Li , Congjun Wu

A sum rule has been derived for the static pair correlation function. This rule is the extension of the well-known equation that relates density fluctuation to compressibility. The obtained sum rule is applied to the Bose and Fermi ideal…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny

In this work we revisit the vortex matter phase diagram in layered superconductors solving still open questions by means of AC and DC local magnetic measurements in the paradigmatic Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8}$ compound. We show that…

Superconductivity · Physics 2020-07-14 M. I. Dolz , Y. Fasano , H. Pastoriza , V. Mosser , M. Li , M. Konczykowski

We show that an array of Josephson coupled Cooper paired planes can never have long range phase coherence at any finite temperature due to an infrared divergence of phase fluctuations. The phase correlations decay in a slow enough manner…

Superconductivity · Physics 2007-05-23 Bogdan A. Bernevig , Zaira Nazario , David I. Santiago
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