## Abstract

We used one-dimensional coupled sine-Gordon equations combined with heat diffusion equations to numerically investigate the thermal and electromagnetic properties of a 300 μm long intrinsic Josephson junction stack consisting of N=700 junctions. The junctions in the stack are combined with M segments where we assume that inside a segment all junctions behave identically. Most simulations are for M=20. For not too high bath temperatures there is the appearance of a hot spot at high-bias currents. In terms of electromagnetic properties, robust standing-wave patterns appear in the current density and electric field distributions. These patterns come together with vortex/antivortex lines across the stack that correspond to π-kink states, discussed before in the literature for a homogeneous temperature distribution in the stack. We also discuss scaling of the thermal and electromagnetic properties with M, on the basis of simulations with M between 10 and 350.

Original language | English |
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Article number | 104513 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 91 |

Issue number | 10 |

DOIs | |

State | Published - 16 Mar 2015 |

### Funding

Funders | Funder number |
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Deutsche Forschungsgemeinschaft | KL930/12-1 |

Ministry of Education and Science of the Russian Federation | 14.607.21.0100 |

National Natural Science Foundation of China | 11234006 |

Japan Society for the Promotion of Science | 25289108 |

Japan Society for the Promotion of Science |

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