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 study, the problem of strong Coulomb interactions in topologicalsuperconducting wire is analyzed by means of thedensity-matrix-renormalization-group (DMRG) approach. To analyze properties ofedge states in the BDI-class structure a quantity called Majorana polarizationis used. From its dependence on wire length and an entanglement-spectrumdegeneracy topological phase diagrams are obtained. The DMRG calculations forthe Shubin-Vonsovsky-type model of the wire show the transformation of phaseswith Majorana single and double modes (MSMs and MDMs, respectively) under theincrease of on- and inter-site correlations. In particular, we demonstratedifferent scenarios including the possibilities of both induction andsuppression of the MSMs and MDMs. It is shown that in the strongly correlatedregime the contributions of single-particle excitations to the Majorana-typestates significantly decrease at low magnetic fields. Moreover, the$t-J^{*}-V$-model is derived allowing to study the effective interactions andimprove the DMRG numerics. It is found out that in the limiting case of theeffective Hamiltonian with infinitely strong on-site repulsion, $t$-model, thetopological phases are destroyed. Finally, the ways to probe the MSMs and MDMsvia the features of caloric functions are discussed.

Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI