A 10-a editie a Seminarului National de nanostiinta si nanotehnologie

18 mai 2011 Biblioteca Academiei Romane

Tight-binding (TB) methods:•Empirical Tight-binding (ETB)•Ab-initio Tight-Binding

Capability to render the atomistic nature of phenomena.

ETB - describes the electronic structure of complex systems like interfaces, defects in crystals, amorphous materials, nano-clusters, and quantum dots (3 orders of magnitude faster than ab-initio DFT][C. Delerue et al., phys.stat.sol. (b) 227, 115 (2001)].

The parameter-free DFT-TB-LMTO (tight-binding-linear muffin-tin orbitals) method has become more widely used not only for crystals, but also for low-dimensional systems like layered structures [I. Turek et al., Electronic Structure of Disordered Alloy, Surfaces, and Interfaces, Kluwer Academic Publishers 1997].

ETB assumes:(1) an orthogonal basis of states localized around atomic sites; (2) diagonal coordinate operator in this basis (gauge-invariance).

Overlap and optical matrix elements:

Phys. Rev. B.72, 125105 (2005)

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The tight-binding description of highly mismatched semiconductor alloys

•The developments[i] in the growth of Si lattice-matched BeSe0.41Te0.59 a new class of Si based devices. •The gap in size and orbital energies between Se/ Te and large lattice mismatch between BeTe/ BeSe makes the virtual-crystal approximation inappropriate. •The band anti-crossing (BAC) model has been introduced in order to explain the electronic structure of highly mismatched alloys like ZnSexTe1-x.[ii] [i] Clark, K. et al., J. Appl. Phys. 88, 7201 (2000); Kirk, W. P. et al., Supperlatt. Microstruct. 28, 377 (2000).[ii] Walukiewicz, W. et al., Phys. Rev. Lett. 85, 1552 (2000); Wu, J. et al., Phys. Rev. B 68,033206 (2003).

Application to sp3s* TB Hamiltonian PRB, 72 073204, Application to sp3s* TB Hamiltonian PRB, 72 073204, 2005.2005.

Perturbed GF due to impurity by averaging over impurity configurations.

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•The model is directly applied to sp3s* Hamiltonian[+] with spin-orbit interaction.[++] •The TB Hamiltonian is written in the sp3 hybrid basis and the basis is rotated in such a way that a unit cell is formed by the anion hybrid orbitals and the cation hybrid orbitals pointed toward the anion site. •The s* orbitals remain unchanged. [+] Vogl, P. Hjalmarson, H. P. and Dow,J. D. J. Phys. Chem. Solids 44, 365 (1983).[++] Chadi, D. J. Phys. Rev. B 16, 790 (1977).

Real-Space LMTO Method for Large Systems

•DFT, ground state theory (LDA, etc); HFA not that good for solids.•Exchange-correlation potentials and quasiparticle energies in the GWA or Screened Exchange: 1-particle GF and screened Coulomb interaction in predicting bandgaps (PRL 93 126406 2004) . Too demanding!•Approximate methods in order to consider correlations- good for large systems (**Solid State Communications 150, 888; 2010).

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FAST CALCULATION of the Hamiltonian and GF permits the evaluation of the dielectric permittivity and the use of a dielectric scaling method to estimate the bandgap**. The bangap is improved with respect to DFT. Potential use for large systems!

Spin polarization by spin dependent tunneling through an indirect barrier

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Phys. Rev. B. 73, 075313, 2006: TB

PMC-Physics B, 1, 13, 2008: ab-initio

Windows of large spin polarization due to Fane resonances in tunneling though an indirect barrier.

Atomistic Description of NanostructuresAtomistic Description of NanostructuresTitus Sandu (titus.sandu@imt.ro)Titus Sandu (titus.sandu@imt.ro)

National Institute for R&D in National Institute for R&D in MMicrotechnologies, Bucharesticrotechnologies, Bucharest