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Subir Sachdev (Yale) Philipp Werner (ETH) Matthias Troyer (ETH) Universal conductance of nanowires near the superconductor-metal quantum transition cond-mat/0402431 Talk online: Sachdev
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T=0 Superconductor-metal transition Attractive BCS interaction R Repulsive BCS interaction RRcRc Metal Superconductor M.V. Feigel'man and A.I. Larkin, Chem. Phys. 235, 107 (1998) B. Spivak, A. Zyuzin, and M. Hruska, Phys. Rev. B 64, 132502 (2001).
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T=0 Superconductor-metal transition R ii
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Continuum theory for quantum critical point
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Consequences of hyperscaling R Superconductor Normal RcRc Sharp transition at T=0 T No transition for T>0 in d=1
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Consequences of hyperscaling R Superconductor Normal RcRc Sharp transition at T=0 T Quantum Critical Region No transition for T>0 in d=1
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Consequences of hyperscaling Quantum Critical Region
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Consequences of hyperscaling Quantum Critical Region
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Effect of the leads
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Large n computation of conductance
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Quantum Monte Carlo and large n computation of d.c. conductance
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Conclusions Universal transport in wires near the superconductor-metal transition Theory includes contributions from thermal and quantum phase slips ---- reduces to the classical LAMH theory at high temperatures Sensitivity to leads should be a generic feature of the ``coherent’’ transport regime of quantum critical points. Conclusions Universal transport in wires near the superconductor-metal transition Theory includes contributions from thermal and quantum phase slips ---- reduces to the classical LAMH theory at high temperatures Sensitivity to leads should be a generic feature of the ``coherent’’ transport regime of quantum critical points.
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