Abstract

A superconducting quantum interference device (SQUID) comprising 0- and π-Josephson junctions (JJs), called π-SQUID, is studied by the resistively shunted junction model. The π-SQUID shows half-integer Shapiro-steps (SS) under microwave irradiation at the voltage V = , with angular frequency Ω and half-integer n/2 in addition to integer n. We show that the π-SQUID can be a π-qubit with spontaneous loop currents by which the half-integer SS are induced. Making the 0- and π-JJs equivalent is a key for the half-integer SS and realizing the π-qubit.

Highlights

  • A superconducting quantum interference device (SQUID) comprising 0- and π-Josephson junctions (JJs), called π-SQUID, is studied by the resistively shunted junction model

  • We show that the π-SQUID can be a π-qubit with spontaneous loop currents by which the half-integer SS are induced

  • In a Josephson junction (JJ) separated by a ferromagnet, i.e., superconductor/ferromagnet/superconductor (SFS) junction, the current-phase relation is shifted by π compared with the conventional JJ, and it is called π-JJ.6–9) In an SFS junction, SS can be induced by ferromagnetic resonance,10) and it is sensitive to a domain wall motion in the ferromagnet.11,12)

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Summary

Introduction

A superconducting quantum interference device (SQUID) comprising 0- and π-Josephson junctions (JJs), called π-SQUID, is studied by the resistively shunted junction model. Half-integer Shapiro-steps in superconducting qubit with a π-Josephson junction We show that the π-SQUID can be a π-qubit with spontaneous loop currents by which the half-integer SS are induced.

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