Superconductivity through Quantum Critical Fluctuations in the ...
Superconductivity through Quantum Critical Fluctuations in the ...
Superconductivity through Quantum Critical Fluctuations in the ...
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<strong>Quantum</strong> <strong>Critical</strong> <strong>Fluctuations</strong>(Vivek Aji, cmv : PRL 07, PRB-09, PRB-10)Classical model:is equivalent <strong>in</strong> critical properties to a generalized xy model orInteract<strong>in</strong>g Rotors Model with anisotropy:The anisotropy is marg<strong>in</strong>ally irrelevant <strong>in</strong> <strong>the</strong> fluctuation regime but strongly relevant <strong>in</strong> <strong>the</strong>ordered phase. The model has no diverg<strong>in</strong>g specfic heat at <strong>the</strong> transition.+<strong>Quantum</strong> Generalization of <strong>the</strong> Model:Dissipative xy or <strong>Quantum</strong>-Rotor Modelexp(i i ) L + i :L is <strong>the</strong> angular momentum operator for <strong>the</strong> Rotors.H = L z i 2 /2I + J(L + i L j+ h.c.)+ Dissipative terms ( ).This model has been suggested to have a <strong>Quantum</strong> <strong>Critical</strong> Po<strong>in</strong>t at(Chakravarty, Kivelson, Lu<strong>the</strong>r, Ingold, Zimanyi, M. Fisher, .... )α = α c .
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