English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we present a method to construct the eigenspace of thenormal-state electrons moving in a 2D square lattice in presence of aperpendicular uniform magnetic field which imposes (quasi)-periodic boundaryconditions for the wave functions in the magnetic unit cell. An exact unitarytransformations are put forward to correlate the discrete eigenvectors of the2D electrons with those of the Harper's equation. The cyclic-tridiagonal matrixassociated with the Harper's equation is then tridiagonalized by anotherunitary transformation. The obtained eigenbasis is utilized to expand theBogoliubov-de Gennes equations for the superconducting vortex lattice state,which showing the merit of our method in studying the large-sized system. Totest our method, we have applied our results to study the vortex lattice stateof an s-wave superconductor.

Method of studying the Bogoliubov-de Gennes equations for the superconducting vortex lattice state