Superconductivity through Quantum Critical Fluctuations in the ...

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Quantum Critical Fluctuations(Vivek Aji, cmv : PRL 07, PRB-09, PRB-10)Classical model:is equivalent in critical properties to a generalized xy model orInteracting Rotors Model with anisotropy:The anisotropy is marginally irrelevant in the fluctuation regime but strongly relevant in theordered phase. The model has no diverging specfic heat at the transition.+Quantum Generalization of the Model:Dissipative xy or Quantum-Rotor Modelexp(i i ) L + i :L is the angular momentum operator for the Rotors.H = L z i 2 /2I + J(L + i L j+ h.c.)+ Dissipative terms ( ).This model has been suggested to have a Quantum Critical Point at(Chakravarty, Kivelson, Luther, Ingold, Zimanyi, M. Fisher, .... )α = α c .
Theory of Criticality2D XY model with dissipationS = ⇥ d⇤ij⇥ J cos (⇥ i ⇥ j )+ ⇥ d⇤i˙2C + ⇥ dkd⌅ |⌅| k 2 |⇥ k,⇥ | 2Exact Transformation in terms of two sets of orthogonal variables:S= d⇤drdr J⇥ v (r, ⇤)⇥ v (r , t)ln |r r |+ drd⇤d⇤ ⇥ w (r, ⇤)⇥ w (r, ⇤ )ln |⇤ ⇤ |Singularities decouple in space and timeFluctuation spectrumIm (k, ⇥)/TTc
Page 1 and 2: Superconductivity through Quantum C
Page 3 and 4: Universal Phase DiagramTAntiferroma
Page 5 and 6: Fermi-Arc Phenomena:A New paradigm
Page 7 and 8: Any theoretical ideas and calculati
Page 10 and 11: Effect of Fluctuations on Single-pa
Page 12 and 13: If there is a region of Quantum-cri
Page 14 and 15: s but simply characterized temperat
Page 16 and 17: For quantum-fluctuations in the dis
Page 18 and 19: Fluctuations of the pseudogap order
Page 20 and 21: Superconductivity through Quantum C
Page 22 and 23: angle independence of the Eliashber
Page 24 and 25: Pairing VertexScattering through π
Page 26 and 27: Deducing the Fluctuation Spectra Co
Page 28 and 29: dI/dV ⇥ SdI/dV ⇥ N( )2 F (⇥)
Page 30 and 31: High Resolution Laser ARPES data. Z
Page 32 and 33: The Eliashberg functionAnalysis on
Page 34 and 35: How could one imagine superconducti
Page 36 and 37: TQuantum-critical fluctuationsof th
Page 40 and 41: t finite temperature where the corr
Page 42 and 43: ppose we separate m into the usual
Page 44 and 45: Correlation function in the Quantum
Page 46: Definitive Evidence that there is a

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