Weyl Josephson circuits

2020/08/31 by Valla Fatemi, Anton Akhmerov, Anton R. Akhmerov +1
Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Electronic circuit #Hamiltonian (control theory) #Josephson effect #Mathematics #Physics #Physics of Superconductivity and Magnetism #Point reflection #Quantum and electron transport phenomena #Quantum mechanics #Semimetal #Superconductivity #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #Weyl semimetal #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevresearch.3.013288

published as Phys. Rev. Research 3, 013288 (2021) · 13 pages, 8 figures

arxiv created 2020/08/31 · openalex publication_date 2021/03/29 · arxiv updated 2021/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce Weyl Josephson circuits: small Josephson junction circuits that simulate Weyl band structures. We first formulate a general approach to design circuits that are analogous to Bloch Hamiltonians of a desired dimensionality and symmetry class. We then construct and analyze a six-junction device that produces a threedimensional (3D) Weyl Hamiltonian with broken inversion symmetry and in which topological phase transitions can be triggered in situ. We argue that currently available superconducting circuit technology allows experiments that probe topological properties inaccessible in condensed matter systems.

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