Impurity states and marginal stability of unconventional ...

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Bogoliubov Quasiparticles 1 2 2 = + + = − = ↑ + ↓ − + ↓ − + ↓ − ↑ ↑ i i i i i i i i i i i i v u v u v u ψ ψ γ ψ ψ γ mixing particles and holes 0 ) ( 0 0 ∏ > + ↓ − + ↑ + = Ψ i i i i v i u ψ ψ GS: Excited State: ↓ − + ↓ − ↓ − ↑ > + ↓ − + ↑ + ↓ − + ↓ − ↓ − Ψ = Ψ Ψ = Ψ + = Ψ = Ψ ∏ 1 1 0 1 1 1 0 1 1 1 0 1 1 , 0 ) ( u v v u i i i i i ψ ψ ψ ψ ψ γ Positive bias Negative bias
Tunneling into SC • Particle and hole component in tunneling sample the same Bogoliubov Nambu quasiparticle. The only difference is relative weight of these two processes. Ψ Ground state 0 Bogoliubov excitation ∏ γ ∗ ∗ ∗ ↑ n↓ − i Ψ 0 = vnc ( ui+ vc i ic i)0 Electron spin down Tunneling out
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: Bogoliubov-Nambu Hamiltonian backgr
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 38 and 39: Lifshitz Tails and gapless supercod
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
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Impurity states and marginal stability of unconventional ...

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