Journal Article

FZJ-2025-02801

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Berezinskii-Kosterlitz-Thouless transitions in a topological superconductor-ferromagnet-superconductor junction

Reich, A. ; Shapiro, D. (Corresponding author)FZJ* ; Shnirman, A.

2025
Inst. Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevB.111.205428  doi:10.34734/FZJ-2025-02801

Abstract: We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy excitations comprise Majorana fermions propagating along the junction, coupled to the magnons in the ferromagnet. Based on mean-field and renormalization group arguments, we predict Berezinskii-Kosterlitz-Thouless (BKT) transitions in this system, both in the case of a magnetic easy-plane and weak easy-axis anisotropy. In the latter case, this is based on an emergent effective easy plane, spanned by the easy axis and the component of the magnetization, which couples to the Majoranas. We conclude by presenting a conjecture for the full phase diagram of the model. It covers BKT transitions as well as exotic multicritical and supersymmetric points known from related models of interacting real fermions and bosons.

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Contributing Institute(s):

1. Quantum Computing Analytics (PGI-12)

Research Program(s):

1. 5223 - Quantum-Computer Control Systems and Cryoelectronics (POF4-522) (POF4-522)

Appears in the scientific report 2025

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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