Impurity states and marginal stability of unconventional ...

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Lifshitz Tails and gapless supercoductivity in s-wave Case. Rare fluctuations are the ones that are nominally very unlikely. However is the mean exectation of some observable is zero and Fluctuaion will render this expectation nonzero then no matter how low probability is this fluctuation is important (hugely important in fact) = 0.0001/0-> infty Rare fluctuations in the impurity distribution will make any s-wave superconductor gapless, regardless how low impurity Concentration is. It is gapless albeit with exponentially small Density of States. Rev Mod Phys, v 78, p 373 (2006)
Average theory of impurity scattering depend on 2 2 Only scattering rate Γ=nimpJ S Band in case of strong impurity scattering, J~1 Band in case of weak impurity scattering J 1 ( unitary) Averaged theory From textbooks does not capture this ditsinction Γ= const n large imp JS
Page 1 and 2: Impurity states and marginal stabil
Page 3 and 4: Motivation 1 Impurities as a local
Page 5 and 6: Motivation 3 Most of the theory and
Page 7 and 8: Superconductivity primer Metal Supe
Page 9 and 10: Bogoliubov-Nambu Hamiltonian backgr
Page 11 and 12: Tunneling into SC • Particle and
Page 13 and 14: Mind trick
Page 15 and 16: Mind trick
Page 17 and 18: Lets do it again
Page 19 and 20: Lets do it again
Page 21 and 22: You noticed! •Few points on overa
Page 23 and 24: T-matrix approximation Single impur
Page 25 and 26: Same prcedure is applied to SC case
Page 28 and 29: Imp S + Cooper pairs continuum |imp
Page 30 and 31: Remark about Abrikosov-Gorkov theor
Page 32 and 33: Predicted behavior only occurs for
Page 34 and 35: Predicted behavior only occurs for
Page 36 and 37: In Reality Imurity states can be at
Page 40 and 41: Lifshits tails or rare fluctuations
Page 42 and 43: Unconventional Superconductors: d-w
Page 44 and 45: YBCO structure
Page 46 and 47: Theory of impurity resonance in d-w
Page 48 and 49: Theory of impurity resonance in d-w
Page 50 and 51: Zn Impurity-State ~20 Zn atoms 0 56
Page 52 and 53: N(r) ~ 1/r Remains to be seen exper
Page 54 and 55: Impurity states in ANY Dirac point
Page 56 and 57: Impurity states in ANY Dirac point
Page 58 and 59: Local Density of states in Dirac Ma
Page 60 and 61: Ni,Theory vs. Expt - Images Theory:
Page 62 and 63: Ni, weak potential + spin imp Theor
Page 64 and 65: Gap is suppressed on the atomic sca
Page 66 and 67: T = U/(1-G0(Ω)U) Hence the pole at
Page 68 and 69: Bi Zn tip Cu Hopping via virtual st
Page 70 and 71: Zn: Strong potential imp Theory V i
Page 72 and 73: Why local nanoscale probes are usef
Page 74 and 75: J.C. Davis Group Gap Map, BSCCO (0.
Page 76 and 77: YBCO - BaO plane YBCO BaO vs BiO BS
Page 78 and 79: Conclusion Impurity and defects in

Impurity states and marginal stability of unconventional ...

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