Ballistic conductance of suspended nanowires: An ab initio description

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Presentation transcript:

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 ADMOL Dresden, 23.-27.02.2004

Relaxation and conductance Impurity scattering Content Motivation Method Parity oscillations Relaxation and conductance Impurity scattering Ballistic magnetoconductance Summary ADMOL Dresden, 23.-27.02.2004

H. Ohnishi, Yu. Kondo, K. Takayanagi, Nature 395, 780 (1998) Motivation Metallic Nanowires Conductance H. Ohnishi, Yu. Kondo, K. Takayanagi, Nature 395, 780 (1998) KKR-Workshop 2004 München, 13.-15.02.2004

KKR Green‘s function method Semi-infinite leads Suspended nanowire ADMOL Dresden, 23.-27.02.2004

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) ADMOL Dresden, 23.-27.02.2004

Conductance of Cu wires Local partial DOS at central Cu atom Cu fcc [100] Conductance histogram at T=4.2K for Cu, A. I. Yanson, PhD. Thesis, Leiden University, the Netherlands, 2001. G = 1.10 G0 ADMOL Dresden, 23.-27.02.2004

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] ADMOL Dresden, 23.-27.02.2004

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) ADMOL Dresden, 23.-27.02.2004

Even-odd parity effect in the density of states s-LDOS p-LDOS ADMOL Dresden, 23.-27.02.2004

Stress and conductance in a Cu wire Averaged stress Conductance Distance d (Å) a b c Average stress per Cu atom (ev/Å³) V.S.Stepanyuk et al., Phys. Rev. B (2003) M. Czerner, diploma thesis, MLU Halle (2003) ADMOL Dresden, 23.-27.02.2004

Conductance through sp-atoms sp impurity (Z = 11 ... 16) ADMOL Dresden, 23.-27.02.2004

Conductance through sp-atoms sp impurity (Z = 11 ... 16) ADMOL Dresden, 23.-27.02.2004

Conductance through sp-atoms sp impurity (Z = 11 ... 16) ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms 3d impurity (Z = 21 ... 30) ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms 3d impurity (Z = 21 ... 30) ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms 3d impurity (Z = 21 ... 30) ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms 3d impurity (Z = 21 ... 30) ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms ADMOL Dresden, 23.-27.02.2004

Conductance through 3d transition metal atoms ADMOL Dresden, 23.-27.02.2004

Conductance of Co wires DOS Conductance ADMOL Dresden, 23.-27.02.2004

Ballistic Magnetoconductance Parallel configuration (P) Antiparallel configuration (AP) MR =(gP – gAP)/gAP x 100% ADMOL Dresden, 23.-27.02.2004

Ballistic Magnetoconductance of Co wires MR = 38 % MR = 29 % ADMOL Dresden, 23.-27.02.2004

Conductance depends strongly on geometry of the junction 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 % ADMOL Dresden, 23.-27.02.2004