Insulating vortex cores in disordered superconductors

Datta, Anushree; Banerjee, Anurag; Trivedi, Nandini; Ghosal, Amit

doi:10.1103/physrevb.107.l140502

Cited by 3 publications

(5 citation statements)

References 58 publications

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“…As was mentioned previously, the interplay of vortices and disorder using the BdG formalism has already been investigated in Refs. [17,27,[40][41][42][43] but for substantially smaller sizes: at most 36 × 36 in those papers versus 100 × 100 in our paper. Moreover, these works do not address the two main problems studied in this paper: the change in the vortex lattice distribution as a function of disorder and magnetic flux and the spatial deformation and inhomogeneity of single vortices for strong disorder on the metallic side of the transition.…”

Section: Introductioncontrasting

confidence: 49%

“…Finally, we comment on the choice of parameters in this study. We adjust the chemical potential so that the charge density is fixed at 〈n〉 = 0.875 which is commonly used in the study of disordered superconductors [27,37,47,48]. For the study of the vortex lattice, we set N = 60 × 60 and coupling constant |U| = 1.25.…”

Section: Model and Methodsmentioning

confidence: 99%

“…In this limit, which is around the superconductor-insulator transition, as expected, the vortex core deviate strongly from the GL prediction and the spatial structure is highly inhomogeneous, the outer profile seems to be very sensitive to the details of the disorder potential but highly elongated in general. Intriguingly, the phase of the order parameter seems to form the so-called Josephson vortex [27] that needs to be defined over a rather long and non-circular path. with the Ginzburg-Landau prediction Eq.…”

Section: The Vortex Profilementioning

confidence: 99%

“…A more recent explanation of this phenomenon [27], based on an explicit numerical solution of the BdG equations in small lattices, is that there exists a region of magnetic flux strength where the conductivity still has a gap-like form for low frequencies but the superfluidity density vanishes. As a result, the resistivity becomes very large until larger magnetic fluxes close the gap completely.…”

Section: Introductionmentioning

confidence: 99%

“…It is important to stress that, with a few exceptions Refs. [17,27,[40][41][42][43] to be discussed later, theoretical research about vortices in disordered superconductors does not employ the microscopic and self-consistent BdG approach where the random potential is the one felt by the electrons that form the Cooper's pair. For instance, in the XY model, describing the phase dynamics, the Josephson couplings are random but they are not directly related to the random potential that model impurities in materials.…”

Section: Introductionmentioning

confidence: 99%

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Exploring the vortex phase diagram of Bogoliubov-de Gennes disordered superconductors

Fan,

Garcia Garcia

2023

SciPost Phys.

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We study the interplay of vortices and disorder in a two-dimensional disordered superconductor at zero temperature described by the Bogoliubov-de Gennes (BdG) self-consistent formalism for lattices of sizes up to 100×100 where the magnetic flux is introduced by the Peierls substitution. We model substantially larger lattice size than in previous approaches (≤36×36) which has allowed us to identify a rich phase diagram as a function of the magnetic flux and the disorder strength. For sufficiently weak disorder, and not too strong magnetic flux, we observe a slightly distorted Abrikosov triangular vortex lattice. An increase in the magnetic flux leads to an unexpected rectangular vortex lattice. A further increase in disorder, or flux, gradually destroys the lattice symmetry though strong vortex repulsion persists. An even stronger disorder leads to deformed single vortices with an inhomogeneous core. As the number of vortices increases, vortex overlap becomes more frequent. Finally, we show that global phase coherence is a feature of all these phases and that disorder enhances substantially the critical magnetic flux with respect to the clean limit with a maximum on the metallic side of the insulating transition.

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Section: Introductioncontrasting

confidence: 49%

Section: Model and Methodsmentioning

confidence: 99%

Section: The Vortex Profilementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Exploring the vortex phase diagram of Bogoliubov-de Gennes disordered superconductors

Fan,

Garcia Garcia

2023

SciPost Phys.

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Interplay of Cooper Pairs and Zero‐Energy Quasiparticles in a Gapless Superconductor

Lee,

Park,

Kim

et al. 2024

Advanced Materials

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The interplay between Cooper pairs and Bogoliubov‐de Gennes (BdG) quasiparticles is a topic of considerable interest in the quantum properties of solids, but its important ingredient, the sufficient amount of low‐energy quasiparticles to interact with Cooper pairs remains elusive in conventional superconductors. Here a gapless superconductor with coupled paramagnetic atomic layers is used to generate a significant amount of zero‐energy quasiparticles that Anderson‐localize and bifurcate into regions of high and low zero‐energy quasiparticle density of states. The enriched zero‐energy quasiparticles induce puddled superconductivity and Josephson vortices. This discovery not only advances the understanding of the mutual interaction of Cooper pairs and BdG quasiparticles but also opens a new avenue for exploring and controlling exotic quantum phenomena where superconductivity, disorder, and spin degrees of freedom are entangled.

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