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We briefly review a theory for the cuprates that has been recently proposed based on the movement and interaction of holes in antiferromagnetic (AF) backgrounds. A robust peak in the hole density of states (DOS) is crucial to produce a…

Condensed Matter · Physics 2009-10-28 E. Dagotto , A. Nazarenko , A. Moreo , S. Haas

In a Type II superconductor, the vortex core behaves like a normal metal. Consequently, the single-particle density of states in the vortex core of a conventional Type II superconductor remains either flat or (for very clean single…

Superconductivity · Physics 2021-06-23 Surajit Dutta , Indranil Roy , John Jesudasan , Subir Sachdev , Pratap Raychaudhuri

Quadratic-response theory is shown to provide a conceptually simple but accurate approximation for the self-consistent one-electron potential of semiconductor nanostructures. Numerical examples are presented for GaAs/AlAs and InGaAs/InP…

Materials Science · Physics 2007-07-24 Bradley A. Foreman

By considering the quantum-mechanically minimum allowable energy interval, we exactly count number of states (NOS) and introduce discrete density of states (DOS) concept for a particle in a box for various dimensions. Expressions for…

Statistical Mechanics · Physics 2016-02-24 Alhun Aydin , Altug Sisman

Understanding how superconductivity competes with other electronic phases in cuprates requires direct access to the hidden non-superconducting low temperature phase, for which Abrikosov vortices provide a unique local probe. We map the…

Superconductivity · Physics 2025-12-16 Tejas Parasram Singar , Ivan Maggio-Aprile , Genda Gu , Christoph Renner

We consider a model of the pseudogap specifically designed to describe the underdoped cuprates and which exhibits particle-hole asymmetry. The presence of electron pockets, besides the usual hole pockets, leads to the appearance of new…

Superconductivity · Physics 2015-05-28 K. A. G. Fisher , E. J. Nicol , J. P. Carbotte

Vortices are expected to exist in a supersolid but experimentally their detection can be difficult because the vortex cores are localized at positions where the local density is very low. We address here this problem by performing numerical…

Quantum Gases · Physics 2021-07-15 Francesco Ancilotto , Manuel Barranco , Marti Pi , Luciano Reatto

Cuprate high-temperature superconductors exhibit a pseudogap in the normal state that decreases monotonically with increasing hole doping and closes at x \approx 0.19 holes per planar CuO2 while the superconducting doping range is 0.05 < x…

Superconductivity · Physics 2011-10-14 Jamil Tahir-Kheli , William A. Goddard

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

We have calculated the density of states of quasiparticles in a d_x^2-y^2+id_xy superconductor, and show that in the mixed state the quasiparticle spectrum remains gapless because of the Doppler shift by superflow. It was found that if the…

Superconductivity · Physics 2009-10-31 W. Mao , A. V. Balatsky

Superconducting vortices can reveal electron pairing details and nucleate topologically protected states. Yet, vortices of bulk spin-triplet superconductors have never been visualized. Recently, UTe$_2$ has emerged as a nominative…

We study the spectrum of the states localized in the vortex cores in the mixed state of clean layered superconductors. S-wave coupling is assumed. It is found that in a large region of parameters adjacent to the superclean case a new…

Condensed Matter · Physics 2009-10-31 A. A. Koulakov , A. I. Larkin

Many emergent phenomena appear in doped Mott insulators near the insulator-to-metal transition. In high-temperature cuprate superconductors, superconductivity arises when antiferromagnetic (AFM) order is gradually suppressed by carrier…

The local density of states (LDOS) and its Fourier component induced by a unitary impurity in a supercurrent-carrying d-wave superconductor are investigated. Both of these quantities possess a reflection symmetry about the line passing…

Superconductivity · Physics 2009-11-10 Degang Zhang , C. S. Ting , C. -R. Hu

In the weak-coupling theory of superconductivity, the diagonal self-energy term is usually disregarded so that this term is already included in the renormalized chemical potential. Using the bulk solution, we can easily see that the term…

Superconductivity · Physics 2018-02-06 Noriyuki Kurosawa

The vortex state thermal and transport properties of the high T_c copper oxides can be understood in a d-wave gap model and are dominated by the extended quasiparticle states that exist along the nodal directions in momentum space. The…

Superconductivity · Physics 2009-10-31 E. Schachinger , J. P. Carbotte

We investigate charge densities around the vortex cores of an s-wave and a chiral p-wave superconductor (SC) in two dimension within quasiclassical theory. We consider contributions of particle-hole asymmetry through gradient expansions in…

Superconductivity · Physics 2019-02-27 Yusuke Masaki

In the superclean case the spectrum of vortex core excitations in the presence of disorder is not random but consists of two series of equally-spaced levels. The I-V characteristics of such superconductors displays many interesting…

Superconductivity · Physics 2009-10-31 A. A. Koulakov , A. I. Larkin

Electronic Raman scattering measurements have been performed on hole doped copper oxide superconductors as a function of temperature and doping level. In the superconducting state coherent Bogoliubov quasiparticles develop preferentially…

Superconductivity · Physics 2015-05-27 A. Sacuto , Y. Gallais , M. Cazayous , S. Blanc , J. S. Wen , Z. J. Xu , G. D. Gu , D. Colson

We demonstrate an efficient numerical method for obtaining unique solutions to the Eilenberger equation for a mesoscopic or nanoscale superconductor. In particular, we calculate the local density of states of a circular d-wave island…

Superconductivity · Physics 2012-10-01 Yuki Nagai , K. Tanaka , Nobuhiko Hayashi