Simulation of quantum melting of the vortex lattice and of fractional quantum Hall-like states of the quantum vortex liquid in 2D superconductors

Low-temperature vortex liquid states induced by quantum fluctuations in the quasi-two-dimensional organic superconductorκ−(BEDT−TTF)2CuSasaki1, Fukuda2, Nishizaki3 et al. 2002Phys. Rev. B313360View full textAdd to dashboardCite

“…3,8 At lower temperature, b above T L shows a weak upward curvature, whereas the curve at 8.59 T, where the magnetic field is well above H c2 , does not show such a feature. This may indicate an insulating behavior predicted as a strong quantum fluctuation effect at TӍ0 K and near H c2 .…”

“…3 Indeed the vortex liquid state resulting from the quantum melting at low temperature has been discussed as the quantum vortex liquid ͑QVL͒ from several theoretical approaches. [3][4][5][6][7][8][9] The favorable material parameters for the experimental observation of quantum fluctuation effects involve a large normal-state resistivity n , a moderate upper critical field H c2 at zero temperature, and a small length scale s for the fluctuations ͑i.e., short coherence length or short layer separation͒.…”

Vortex Glass Transition and Quantum Vortex Liquid at Low Temperature in a Thicka-MoxSi1Okuma1, Imamoto2, Morita3 2001Phys. Rev. Lett.849340View full textAdd to dashboardCite

“…For clean superconductors in which the melting transition of the vortex lattice is observed, the shape of the melting line, B m ͑T ͒, has been obtained over the broad temperature T range both experimentally [1,2] and theoretically [2][3][4][5]. At high temperatures properties of vortex lines are dominated by thermal fluctuations, while at sufficiently low temperatures they are subject to quantum fluctuations.…”

“…At high temperatures properties of vortex lines are dominated by thermal fluctuations, while at sufficiently low temperatures they are subject to quantum fluctuations. If quantum fluctuations are strong enough, a quantum-vortex-liquid (QVL) state is expected to appear [2][3][4][5][6][7]. The QVL state has been actually reported for several low-T c superconductors (LTSC's), such as thin (2D) [1,[8][9][10][11] and thick (3D) [2] films of amorphous superconductors and the quasi-2D organic superconductor [12].…”

“…Several theories have predicted the quantum liquid of vortices or quantum melting of the vortex solid [2][3][4][5][6][7]. However, most of them have concentrated on melting of vortex lattice in clean systems.…”