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We present a simple calculational scheme for superconducting properties under magnetic fields. A combination of an approximate analytic solution with a free energy functional in the quasiclassical theory provides a wide use formalism for…

Superconductivity · Physics 2009-11-10 Hiroaki Kusunose

When subject to a weak magnetic impurity potential, the order parameter and quasi-particle energy gap of a bulk singlet superconductor are suppressed. According to the conventional mean-field theory of Abrikosov and Gor'kov, the integrity…

Superconductivity · Physics 2009-11-07 A Lamacraft , B D Simons

We review all symmetry-allowed spin-singlet and spin-triplet superconducting (SC) order parameters in graphene ($s$-wave, $d$-wave, $p$-wave, and $f$-wave) generated by generic onsite, nearest-neighbor (NN), and next-to-nearest-neighbor…

Experimental evidence was recently obtained for topological superconductivity in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire contacts the superconductor, a localized…

Strongly Correlated Electrons · Physics 2018-12-31 Ian Affleck , Domenico Giuliano

We investigate the correspondence between existence/stability of BPS states in type II string theory compactified on a Calabi-Yau manifold and BPS solutions of four dimensional N=2 supergravity. Some paradoxes emerge, and we propose a…

High Energy Physics - Theory · Physics 2010-11-19 Frederik Denef

Formation of twin boundaries during the growth of semiconductor nanowires is very common. However, the effects of such planar defects on the electronic and optical properties of nanowires are not very well understood. Here, we use a…

Materials Science · Physics 2019-09-04 Divyanshu Gupta , Nebile Isik Goktas , Amit Rao , Ray LaPierre , Oleg Rubel

Hybrid superconductor-semiconductor nanowires are predicted to undergo a field-induced phase transition from a trivial to a topological superconductor, marked by the closure and re-opening of the excitation gap, followed by the emergence of…

We analyze the superconducting gap in semiconductor/superconductor nanowires under orbital effects of a magnetic field in the weak- and strong-hybridization regimes using an universal procedure that guarantees the stationarity of the system…

Mesoscale and Nanoscale Physics · Physics 2018-07-02 P. Wójcik , M. P. Nowak

A one-dimensional spin-orbit coupled nanowire with proximity-induced pairing from a nearby s-wave superconductor may be in a topological nontrivial state, in which it has a zero energy Majorana bound state at each end. We find that the…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 G. Kells , D. Meidan , P. W. Brouwer

The emergence of zero energy states in non-topological superconductors represents an inevitable problem that obscures the proper identification of zero energy Majorana bound states (MBSs) and prevents their use as topologically protected…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Jorge Cayao , Annica M. Black-Schaffer

We theoretically demonstrate the formation of a new type of unconventional superconductivity in graphene materials, which exhibits gapless property. The studied superconductivity is based on an interlayer pairing of chiral electrons in…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Mir Vahid Hosseini , Malek Zareyan

We consider the experimental properties of superconductors with a gap which is an odd function of energy $\bepsk=\epsk - \mu$, i.e.\ , a gap which vanishes everywhere on the Fermi surface; this is done within a in a BCS framework. Apart…

Condensed Matter · Physics 2009-10-22 M. Dobroliubov , E. Langmann , P. C. E. Stamp

We introduce and analyze a model that sheds light on the interplay between correlated insulating states, superconductivity, and flavor-symmetry breaking in magic angle twisted bilayer graphene. Using a variational mean-field theory, we…

Strongly Correlated Electrons · Physics 2021-12-14 Gal Shavit , Erez Berg , Ady Stern , Yuval Oreg

The simultaneous interplay of strong electron-electron correlations, topological zero-energy states, and disorder is yet an unexplored territory but of immense interest due to their inevitable presence in many materials. Copper oxide…

Monolayer FeSe exhibits the highest transition temperature among the iron based superconductors and appears to be fully gapped, seemingly consistent with $s$-wave superconductivity. Here, we develop a theory for the superconductivity based…

Superconductivity · Physics 2018-01-03 D. F. Agterberg , T. Shishidou , P. M. R. Brydon , J. O'Halloran , M. Weinert

The two-dimensional nature of graphene makes it an ideal platform to explore proximity-induced unconventional planar superconductivity and the possibility of topological superconductivity. Using Green's functions techniques, we study the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Oscar E. Casas , Shirley Gómez Páez , Alfredo Levy Yeyati , Pablo Burset , William J. Herrera

A numerical approach to disordered 2D superconductors described by BCS mean field theory is outlined. The energy gap and the superfluid density at zero temperature and the quasiparticle density of states are studied. The method involves…

Condensed Matter · Physics 2016-08-31 T. Xiang , J. M. Wheatley

A variety of experimental observations in monolayer transition metal dichalcogenide superconductors with Ising spin-orbit coupling suggest the presence of an unconventional superconducting pairing mechanism. Some of these experiments…

Superconductivity · Physics 2026-02-05 Subhojit Roy , Andreas Kreisel , Brian M. Andersen , Shantanu Mukherjee

Possible ordered states in the 2D extended Hubbard model with on-site (U>0) and nearest-neighbor (V) interaction are examined near half filling, with emphasis on the effect of finite V. First, the phase diagram at absolute zero is…

Strongly Correlated Electrons · Physics 2009-10-31 Masakazu Murakami

Models of strongly correlated electrons that tend to phase separate are studied including a long-range 1/r repulsive interaction. It is observed that charge-density-wave states become stable as the strength of the 1/r term, ${\rm…

Condensed Matter · Physics 2009-10-22 Stephan Haas , Elbio Dagotto , Alexander Nazarenko , Jose Riera