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We discuss the effects of quantum fluctuations on the properties of vortex lattices in rapidly rotating ultracold atomic gases. We develop a variational method that goes beyond the Bogoliubov theory by including the effects of interactions…

Quantum Gases · Physics 2013-11-22 M. P. Kwasigroch , N. R. Cooper

The quasiparticle resonant states around a single nonmagnetic impurity with unitary scattering in a d-wave superconductor is studied by solving the Bogoliubov-de Gennes equations based on a t-J model. Both the spatial variation of the order…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , T. K. Lee , C. S. Ting , Chia-Ren Hu

Scanning tunneling experiments on single crystals of superconducting FeTe$_{0.55}$Se$_{0.45}$ have recently provided evidence for discrete energy levels inside vortices. Although predicted long ago, such levels are seldom resolved due to…

Superconductivity · Physics 2018-10-29 Christophe Berthod

We have found an exact analytical solution of the Bogoliubov-de Gennes equations for the Tkachenko modes of the vortex lattice in the lowest Landau level (LLL) in the thermodynamic limit at any momenta and calculated their damping rates. At…

Quantum Gases · Physics 2015-05-20 S. I. Matveenko , G. V. Shlyapnikov

We present a scanning tunneling spectroscopy study on quasiparticle states in vortex cores in Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$. The energy of the observed vortex core states shows an approximately linear scaling with the superconducting…

Superconductivity · Physics 2007-05-23 B. W. Hoogenboom , K. Kadowaki , B. Revaz , M. Li , Ch. Renner , Ø. Fischer

Spin ordering and its effect on low energy quasiparticles in a p-wave superconducting liquid are investigated. We show that there is a new 2D p-wave superconducting liquid where the ground state is rotation invariant. In quantum spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Fei Zhou

We calculate the response of a vortex core in a layered superconductor to {\em ac} electromagnetic fields with frequencies $\omega\lsim 2\Delta/\hbar$. In this frequency range the response is dominated by order parameter collective modes…

Superconductivity · Physics 2010-11-16 Matthias Eschrig , J. A. Sauls , D. Rainer

We studied electronic states in vortex cores of slightly overdoped Bi2Sr2CaCu2Ox by scanning tunneling spectroscopy. We have found that they have stripe structures with a 4a0 width extending along the Cu-O bond directions. Vortex core…

Superconductivity · Physics 2013-07-17 Shunsuke Yoshizawa , Taiji Koseki , Ken Matsuba , Takashi Mochiku , Kazuto Hirata , Nobuhiko Nishida

Resistance in superconductors arises from the motion of vortices driven by flowing supercurrents or external electromagnetic fields and may be strongly affected by thermal or quantum fluctuations. The common expectation borne out in…

We analyze the disorder limited motion of quantum vortices in a two-dimensional bosonic superfluid with a large healing length. It is shown that the excitations of low-energy degrees of freedom associated with the non-analytic…

Other Condensed Matter · Physics 2015-12-09 Oded Agam , Igor L. Aleiner

Low temperature behavior of the electronic specific heat $C(T)$ in the mixed state is by the self-consistent calculation of the Eilenberger theory. In addition to $\gamma T$-term ($\gamma$ is a Sommerfeld coefficient), $C(T)$ has…

Superconductivity · Physics 2009-11-11 N. Nakai , P. Miranovic , M. Ichioka , K. Machida

We study the energetic and dynamic stability of coreless vortices in nonrotated spin-1 Bose-Einstein condensates, trapped with a three-dimensional optical potential and a Ioffe-Pritchard field. The stability of stationary vortex states is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Pietila , M. Mottonen , S. M. M. Virtanen

We report spatially resolved nuclear magnetic resonance measurements on a high temperature superconductor that indicate the presence of correlated antiferromagnetic fluctuations in the vortex core. The nuclear spin-lattice relaxation rate,…

Superconductivity · Physics 2009-09-29 V. F. Mitrovi{ć} , E. E. Sigmund , W. P. Halperin , A. P. Reyes , P. Kuhns , W. G. Moulton

The quasiparticle states found in the vortex core of a high-T$_{\rm{c}}$ cuprate superconductor may be probed by scanning tunneling spectroscopy. Results of such experiments have revealed typical spectra that are quite different from what…

Superconductivity · Physics 2015-03-19 Mikael Fogelstrom

In a two-dimensional approximation, the probability density and current for a photoelectron near the localization of a quantum vortex are theoretically investigated. The wave function in the momentum representation, which we found earlier,…

Quantum Physics · Physics 2024-02-08 N. V. Larionov , Yu. L. Kolesnikov

We study the quasiparticle excitations around a single vortex in the superconducting topological insulator Cu$_{x}$Bi$_{2}$Se$_{3}$, focusing on a superconducting state with point nodes. Inspired by the recent Knight shift measurements, we…

Superconductivity · Physics 2014-05-28 Yuki Nagai

Motivated by recent discovery of cobalt oxide and organic superconductors, we apply an effective model with strong antiferromagnetic and superconducting pairing interaction to a related lattice structure. It is found that the…

Superconductivity · Physics 2007-05-23 Jian-Xin Zhu , A. V. Balatsky

The structures of multiply quantized vortices (MQVs) of an equal-population atomic Fermi superfluid in a rotating spherical bubble trap approximated as a thin shell are analyzed by solving the Bogoliubov-de Gennes (BdG) equation throughout…

Quantum Gases · Physics 2023-11-02 Yan He , Chih-Chun Chien

We analyze the vortex core states of two-species (mass imbalanced) superfluid fermion mixtures as a function of two-body binding energy in two dimensions. In particular we solve the Bogoliubov-de Gennes equations for a population balanced…

Superconductivity · Physics 2009-11-13 M. Iskin

We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid, in the temperature regime where the normal fluid density $\rho_n(T)$ is small. The coupling between the vortex "zero mode" and the…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 L. Thompson , P. C. E. Stamp
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