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We argue that inhomogeneity inherent to the presence of periodic supercurrents in the vortex lattice sorts excitations by energies into the ones that are spatially localized and those that perform motion along large Larmour orbits. This…

Strongly Correlated Electrons · Physics 2007-05-23 Lev P. Gor`kov , J. R. Schrieffer

Influence of weak nonmagnetic impurities on the single-particle density of states $\rho(\omega)$ of two-dimensional electron systems with a conical spectrum is studied. We use a nonperturbative approach, based on replica trick with…

Condensed Matter · Physics 2009-10-22 A. A. Nersesyan , A. M. Tsvelik , F. Wenger

We construct a new set of generalized coherent states, the electron-hole coherent states, for a (quasi-)spin particle on the infinite line. The definition is inspired by applications to the Bogoliubov-de Gennes equations where the…

Mathematical Physics · Physics 2016-02-17 Sven Gnutzmann , Marek Kuś , Jordan Langham-Lopez

We study elementary excitations of a system of one-dimensional bosons with weak contact repulsion. We show that the Gross-Pitaevskii regime, in which the excitations are the well-known Bogoliubov quasiparticles and dark solitons, does not…

Quantum Gases · Physics 2014-03-21 M. Pustilnik , K. A. Matveev

Unconventional d-wave superconductors with pair-breaking edges are predicted to have ground states with spontaneously broken time-reversal and translational symmetries. We use the quasiclassical theory of superconductivity to demonstrate…

Superconductivity · Physics 2018-05-09 Patric Holmvall , Tomas Löfwander , Mikael Fogelström

Low temperature specific heat has been measured for an overdoped $La_{2-x}Sr_xCuO_4$ (x = 0.22) single crystal. The quasiparticle density of states (DOS) in the mixed state is found to deviate from the predicted scaling law…

Superconductivity · Physics 2007-05-23 Z. Y. Liu , H. H. Wen , T. Xiang , Seiki Komiya , X. F. Sun , Yoichi Ando

We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of 52Cr atoms with dipole-dipole and s-wave contact interactions confined in an axially…

Quantum Gases · Physics 2009-06-24 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

We compute the structure of flux $h/(2e)$ vortices in a d-wave superconductor which emerges from a higher temperature pseudogap metal. Such a transition is described by a continuum theory of the Higgs condensation of 2 flavors of charge $e$…

Strongly Correlated Electrons · Physics 2024-12-11 Jia-Xin Zhang , Subir Sachdev

Approximated formulae for real quasi-momentum and the associated energy spectrum are presented for one-dimensional Bose gas with weak attractive contact interactions. On the basis of the energy spectrum, we obtain the equation of state in…

Quantum Gases · Physics 2012-07-25 Tsubasa Ichikawa , Izumi Tsutsui , Nobuhiro Yonezawa

A method is presented to solve the Bogoliubov-de Gennes equations with arbitrary distributions of vortices. The real-space Green's function approach based on Chebyshev polynomials is complemented by a gauge transformation which allows one…

Superconductivity · Physics 2016-11-29 C. Berthod

The electro-magnetic responses of ordered vortex lattices in unconventional superconductors are studied in a high field approximation. In the cases with a vortex lattice formed within the lowest Landau level of the superconducting order…

Superconductivity · Physics 2025-10-28 Ryusuke Ikeda , Yuto Yokota

In the d-wave superconductors the electronic entropy associated with an isolated vortex diverges logarithmically with the size of the system even at low temperatures. In the vortex array the entropy per vortex per layer, $S_V$, is much…

Superconductivity · Physics 2009-10-30 G. E. Volovik

The superconducting state of a thin superconducting disk with a hole is studied within the non-linear Ginzburg-Landau theory in which the demagnetization effect is accurately taken into account. We find that the flux through the hole is not…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. J. Baelus , F. M. Peeters , V. A. Schweigert

Quantum vortices in the multi-component Bose-Einstein condensation (BEC) are investigated theoretically. It is found that three kinds of the vortex configurations are possible and their physical properties are discussed in details,…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Kazushige Machida , Tetsuo Ohmi

We consider excited vortex states, which are vortex states left inside a superconductor once the external applied magnetic field is switched off and whose energy is lower than of the normal state. We show that this state is paramagnetic and…

Superconductivity · Physics 2016-07-20 Rodolpho Ribeiro Gomes , Mauro M. Doria , Antonio R. de C. Romaguera

Energy spectra, spin configurations, and entanglement characteristics of a system of four electrons in lateral double quantum dots are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Ying Li , Constantine Yannouleas , Uzi Landman

When macroscopic quantum condensates -- superconductors, superfluids, cold atoms and ions, polaritons etc. -- are put in rotation, a quantum vortex lattice forms inside. In homogeneous type-II superconductors, each vortex has a tiny core…

We characterise the properties of a vortex line in an elongated dipolar Bose-Einstein condensate. Increasing the strength of the dipole-dipole interactions (DDIs) relative to the short ranged contact interactions we find that the system…

Quantum Gases · Physics 2018-12-19 Au-Chen Lee , D. Baillie , R. N. Bisset , P. B. Blakie

We investigate the vortex structure in chiral p-wave superconductors by the Bogoliubov-de Gennes theory on a tight-binding model. We calculate the spatial structure of the pair potential and electronic state around a vortex, including the…

Superconductivity · Physics 2009-11-07 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida , Manfred Sigrist

The effect of non-magnetic impurities on 2D s-wave superconductors is studied beyond the weak disorder regime. Within the Bogoliubov-de Gennes (BdG) framework, the local pairing amplitude develops a broad distribution with significant…

Superconductivity · Physics 2009-10-31 Amit Ghosal , Mohit Randeria , Nandini Trivedi