Quasiparticles and Polaronic Effects in Crystals,Fermi Gasses and Fermi Liquids |
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Authors: | Y M Malozovsky J D Fan |
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Affiliation: | (1) College of Modern Profession and Technology, Nanchang, Jiangxi, 330012, China;(2) Jiangxi Normal University, Nanchang, Jiangxi, 330022, China;(3) Key Laboratory of Optoelectronic & Telecommunication of Jiangxi, Nanchang, Jiangxi, 330022, China; |
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Abstract: | We study the effect of quantum and classical phase fluctuations on the phase transitions in the system of Josephson-junction
arrays. We employed a variational method for calculating the Gaussian type fluctuation of the phase in the Josephson-junction
array lattice systems without and with an external magnetic field. We investigate the spectrum of collective excitations and
the effects of collective excitations on the transport properties of Josephson-junction arrays. We showed that the Hamiltonian
for the lattice system of the Josephson junction is the same as the Hamiltonian for the classical or quantum two-dimensional
interacting rotators. We also showed that the dynamics of fluctuations of the phase in the lattice system of Josephson junction
is very similar to the lattice dynamics of the lattice in crystals. We also showed that in the lattice system of Josephson
junctions there is the collective acoustic mode similar to the acoustic mode in the crystal lattice, and this mode may lead
to the dissipation of the Josephson current in the superconducting array of Josephson junctions. The speed of sound of the
collective acoustic mode of the phase fluctuation depends on the Josephson coupling energy and the Coulomb charging energy.
The contribution of the collective acoustic mode to the low temperature specific heat is the same as the contribution of the
acoustic phonons to the specific heat of crystals. We also discuss the future development of results and their application. |
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