Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs

Shiro Sakai; Nayuta Takemori; Akihisa Koga; Ryotaro Arita

doi:10.1103/PhysRevB.95.024509

← Back to search

Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs

Shiro Sakai, Nayuta Takemori, Akihisa Koga, Ryotaro Arita

DOI 10.1103/PhysRevB.95.024509 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

We study a possible superconductivity in quasiperiodic systems by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to the model consisting of 4181 sites, we find a superconducting phase at low temperatures. Reflecting the nonperiodicity of the Penrose lattice, the superconducting state exhibits an inhomogeneity. According to the type of the inhomogeneity, the superconducting phase is categorized into three different regions which cross over each other. Among them, the weak-coupling region exhibits spatially extended Cooper pairs, which are nevertheless distinct from the conventional pairing of two electrons with opposite momenta.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
Au51Al34Yb15 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Au64Ge22Yb14 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Au63.5Ge20.5Yb16 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown