Thermal and electromagnetic properties of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ intrinsic Josephson junction stacks studied via one-dimensional coupled sine-Gordon equations

Abstract

We used one-dimensional coupled sine-Gordon equations combined with heat diffusion equations to numerically investigate the thermal and electromagnetic properties of a $300\mu \mathrm{m}$ long intrinsic Josephson junction stack consisting of $N=700$ junctions. The junctions in the stack are combined to $M$ 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 appearence 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 $\pi$ 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.

17 pages, 17 figures

References in corpus (13)

• Hot spots and waves in Bi2Sr2CaCu2O8 intrinsic Josephson junction stacks -a study by Low Temperature Scanning Laser Microscopy
• Possible Dynamic States in Inductively Coupled Intrinsic Josephson Junctions of Layered High-$T_c$ Superconductors
• Resonant electromagnetic emission from intrinsic Josephson-junction stacks with laterally modulated Josephson critical current
• Mechanism of Terahertz Electromagnetic Wave Emission from Intrinsic Josephson Junctions
• THz emission from intrinsic Josephson junctions at zero magnetic field via breather auto-oscillations
• Stability of dynamic coherent states in intrinsic Josephson-junction stacks near internal cavity resonance
• THz emission from a stacked coherent flux-flow oscillator: non-local radiative boundary conditions and the role of geometrical resonances
• Three-Dimensional Phase-Kink State in Thick Stack of Josephson Junctions and Terahertz Radiation
• In-plane dissipation as a possible synchronization mechanism for terahertz radiation from intrinsic Josephson junctions of layered superconductors
• Cavity phenomena in mesas of cuprate high-$T_c$ superconductors under voltage bias
• Observation of superluminal geometrical resonances in Bi2Sr2CaCu2O8+x intrinsic Josephson junctions
• Stationary phase-kink states and dynamical phase transitions controlled by surface impedance in THz wave emission from intrinsic Josephson junctions
• Enhancement of the superconducting transition temperature in cuprate heterostructures