Resistivity Tensor of Vortex-Lattice States in Josephson Junction Arrays

Alexander-Georg Penner; Karsten Flensberg; Leonid I. Glazman; Felix von Oppen

doi:10.1103/PhysRevLett.131.206001

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Resistivity Tensor of Vortex-Lattice States in Josephson Junction Arrays

Alexander-Georg Penner, Karsten Flensberg, Leonid I. Glazman, Felix von Oppen

DOI 10.1103/PhysRevLett.131.206001 · Physical Review Letters

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Abstract

Two-dimensional Josephson junction arrays frustrated by a perpendicular magnetic field are predicted to form a cascade of distinct vortex lattice states. Here, we show that the resistivity tensor provides both structural and dynamical information on the vortex-lattice states and intervening phase transitions, which allows for experimental identification of these symmetry-breaking ground states. We illustrate our general approach by a microscopic theory of the resistivity tensor for a range of magnetic fields exhibiting a rich set of vortex lattices as well as transitions to liquid-crystalline vortex states.