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Ballistic conductance of suspended nanowires: An ab initio description. M. Czerner 1 , A. Bagrets 1 , N. Papanikolaou 2 , V.S. Stepanyuk 3 and I. Mertig 1 1 Martin-Luther-Universit ät Halle, Germany
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Ballistic conductance of suspended nanowires: An ab initio description M. Czerner1, A. Bagrets1, N. Papanikolaou2, V.S. Stepanyuk3 and I. Mertig1 1Martin-Luther-Universität Halle, Germany 2Institute of Material Science, National Center for Scientific Research „Demokritos“, Athens, Greece 3 Max-Planck-Institute Mikrostrukturphysik Halle, Germany
Content • Motivation • Method • Parity oscillations • Relaxation and conductance • Impurity scattering • Ballistic magnetoconductance • Summary
Motivation Metallic Nanowires Conductance H. Ohnishi, Yu. Kondo, K. Takayanagi,Nature 395, 780 (1998)
KKR Green‘s function method Semi-infinite leads Suspended nanowire
Landauer theory with Green‘s functions Landauer formula 1 Sample 2 Conductance Matrix elements H.U. Baranger and A.D. Stone, Phys. Rev. B 40, 8169 (1989)
Cu fcc [100] Conductance of Cu wires Local partial DOS at central Cu atom Conductance histogram at T=4.2K for Cu, A. I. Yanson, PhD. Thesis, Leiden University, the Netherlands, 2001. G = 1.10 G0
Conductance of Cu wires Local partial DOS at central Cu atom Conductance histogram at T=4.2K for Cu, A. I. Yanson, PhD. Thesis, Leiden University, the Netherlands, 2001. G = 2.59 G0 Cu fcc [100]
Parity oscillation in the conductance of Cu wires Experiment KKR calculation R.H.M. Smit et al., Phys. Rev. Lett. 91, 076805-1 (2003) M. Czerner, diploma thesis, MLU Halle (2003)
Even-odd parity effect in the density of states s-LDOS p-LDOS
c b a Distance d (Å) Stress and conductance in a Cu wire Averaged stress Conductance Average stress per Cu atom (ev/ų) V.S.Stepanyuk et al., Phys. Rev. B (2003) M. Czerner, diploma thesis, MLU Halle (2003)
sp impurity (Z = 11 ... 16) Conductance through sp-atoms
sp impurity (Z = 11 ... 16) Conductance through sp-atoms
sp impurity (Z = 11 ... 16) Conductance through sp-atoms
3d impurity (Z = 21 ... 30) Conductance through 3d transition metal atoms
3d impurity (Z = 21 ... 30) Conductance through 3d transition metal atoms
3d impurity (Z = 21 ... 30) Conductance through 3d transition metal atoms
3d impurity (Z = 21 ... 30) Conductance through 3d transition metal atoms
Conductance of Co wires DOS Conductance
Ballistic Magnetoconductance Parallel configuration (P) Antiparallel configuration (AP) MR =(gP – gAP)/gAP x 100%
Ballistic Magnetoconductance of Co wires MR = 38 % MR = 29 %
Summary • Conductance depends strongly on geometry • of the junction • II. Parity oscillations • III. Relaxation enhances conductance • III. Impurity scattering modulates conductance • IV. Ballistic magnetoconductance is ~50 %