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.

arXiv comment17 pages, 17 figures

References in corpus (41)

• Coherent THz emission of Bi_2Sr_2CaCu_2O_8 intrinsic Josephson junction stacks in the hot spot regime
• Terahertz Josephson plasma waves in layered superconductors: spectrum, generation, nonlinear, and quantum phenomena
• Hot spots and waves in Bi2Sr2CaCu2O8 intrinsic Josephson junction stacks -a study by Low Temperature Scanning Laser Microscopy
• Geometrical Resonance Conditions for THz Radiation from the Intrinsic Josephson Junctions in Bi2Sr2CaCu2O8+d
• Possible Dynamic States in Inductively Coupled Intrinsic Josephson Junctions of Layered High-$T_c$ Superconductors
• Powerful terahertz emission from Bi2Sr2CaCu2O8+delta mesa arrays
• Broadly Tunable Sub-terahertz Emission from Internal Branches of the Current-voltage Characteristics of Superconducting Bi2Sr2CaCu2O8+d Single Crystals
• Radiation Due to Josephson Oscillations in Layered Superconductors
• Resonant electromagnetic emission from intrinsic Josephson-junction stacks with laterally modulated Josephson critical current
• Tunable terahertz emission from Bi2Sr2CaCu2O8+δ mesa devices
• Interaction of hot spots and THz waves in Bi_2Sr_2CaCu_2O_8 intrinsic Josephson junction stacks of various geometry
• Unusual linewidth dependence of coherent THz emission measured from intrinsic Josephson junction stacks in the hot-spot regime
• Mechanism of Terahertz Electromagnetic Wave Emission from Intrinsic Josephson Junctions
• Evidence for a Dual-Source Mechanism of THz Radiation from Rectangular Mesas of Single Crystalline \bm{$\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$} Intrinsic Josephson Junctions
• Radiation from a Josephson STAR-emitter
• Effect of thermal inhomogeneity for THz radiation from intrinsic Josephson junction stacks of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Hot-spot formation in stacks of intrinsic Josephson junctions in Bi2Sr2CaCu2O8
• THz emission from intrinsic Josephson junctions at zero magnetic field via breather auto-oscillations
• Local SiC photoluminescence evidence of non-mutualistic hot spot formation and sub-THz coherent emission from a rectangular Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ mesa
• Direct imaging of hot spots in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ} mesa terahertz sources
• 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
• Counterintuitive Consequence of Heating in Strongly-Driven Intrinsic-Junctions of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Mesas
• Nonlinear nonequilibrium quasiparticle relaxation in Josephson junctions
• Thermal Management in Large Bi2212 Mesas used for Terahertz Sources
• Emission of Terahertz Waves from Stacks of Intrinsic Josephson Junctions
• Intense terahertz emission from intrinsic Josephson junctions by external heat control
• Cavity phenomena in mesas of cuprate high-$T_c$ superconductors under voltage bias
• In-plane dissipation as a possible synchronization mechanism for terahertz radiation from intrinsic Josephson junctions of layered superconductors
• Observation of superluminal geometrical resonances in Bi2Sr2CaCu2O8+x intrinsic Josephson junctions
• Microwave conductivity of d-wave superconductors with extended impurities
• Synchronization of One Dimensional Array of Point Josephson Junctions Coupled to a Common Load
• Conversion of terahertz wave polarization at the boundary of a layered superconductor due to the resonance excitation of oblique surface waves
• 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
• Optimal Condition for Strong Terahertz Radiation from Intrinsic Josephson Junctions
• Response and Amplification of Terahertz Electromagnetic Waves in Intrinsic Josephson Junctions of Layered High-Tc Superconductor
• Mutual synchronization of two stacks of intrinsic Josephson junctions in cuprate superconductors
• Kink State in a Stack of Intrinsic Josephson Junctions in Layered High-$T_c$ Superconductors and Terahertz Radiation
• Stability of the Kink State in a Stack of Intrinsic Josephson Junctions

Cited by in corpus (5)

• 3D simulations of the electrothermal and THz emission properties of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ intrinsic Josephson junction stacks
• Design aspects of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ THz sources: optimization of thermal and radiative properties
• Space-time crystalline order of a high-critical-temperature superconductor with intrinsic Josephson junctions
• Terahertz emission from mutually synchronized standalone Bi2Sr2CaCu2O8+x intrinsic-Josephson-junction stacks
• On-chip sensing of hotspots in superconducting terahertz emitters