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Picture of Walter L. Lambrecht

Walter Lambrecht, Professor of Physics 

Session A15: Metals: 1D, 2D, 3D

8:00 AM–11:00 AM, Monday, March 13, 2006
Baltimore Convention Center - 311

Sponsoring Units: DMP DCMP
Chair: Duane Johnson, University of Illinois, Urbana-Champaign

Abstract: A15.00010 : Optical conductivity of MnN: a combined experimental and theoretical study.

9:48 AM–10:00 AM

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Authors:

  Walter R. L. Lambrecht
    (Case Western Reserve University)

  S. Granville
  B. J. Ruck
  F. Budde
  A. Koo
  J. E. Downes
  H. J. Trodahl
    (Victoria University of Wellington)

  A. Bittar
  N. Strickland
  G. V. M. Williams
    (Industrial Research Limited, Lower Hutt, NZ)

  Timothy Learmont
  Kevin E. Smith
    (Boston University)

  V. J. Kennedy
  A. Markwitz
    (Inst. Geol. and Nuclear Sciences, Lower Hutt, NZ)

A comparison between measured and calculated optical conductivity is presented for MnN films prepared by ion assisted deposition. X-ray diffraction and extended x-ray absorption fine structure show the films to be nanocrystalline but phase pure. X-ray emission spectroscopy of the N K-edge and X-ray absorption near edge spectroscopy of the N K- and Mn L-edges are used to probe the occupied and empty densities of states, which compare well with the N-2p and Mn-3d partial densities of states calculated using the linearized muffin-tin orbital method. The optical conductivity was measured by spectroscopic ellipsometry/reflectivity in the infared to UV range. The major differences between calculated and measured spectra can be understood on the basis of a limited electron mean-free-path in these nanocrystalline films, which relaxes the momentum conservation requirement. The calculated optical functions are analyzed in terms of their dominant band-to-band contributions including the polarization dependence. The temperature dependent conductivity shows a clear metallic behaviour and a weak Kondo-like low temperature anomaly.


Picture of Aditi Herwadkar
Aditi Herwadkar, Graduate Student

Session Z23: Strongly Correlated Electrons II

11:15 AM–2:15 PM, Friday, March 17, 2006
Baltimore Convention Center - 320

Sponsoring Unit: GMAG
Chair: Patrick Morales

Abstract: Z23.00005 : Electronic structure of CrN: a Mott insulator

12:03 PM–12:15 PM

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Authors:

  Aditi Herwadkar
  Walter R.L. Lambrecht
    (Case Western Reserve)

  Mark van Schilfgaarde
    (Arizona State University)

It was recently reported by D. Gall et al. [J. Appl. Phys. 91, 5882, 2002] that CrN in the rocksalt structure has an optical band gap of about 0.7 eV, though in local spin density approximation, this materials is predicted to be metallic. We examine this possibility using the LSDA+U approach in the fully localized limit implemented in our full-potential muffin-tin orbital method. Slater integral \(F^{0}=U\) is screened such that the position of the occupied 3$d$ levels agrees well with the photoelectron spectra of CrN. We find that a band gap opens in the band structure. The actual value of the gap obviously depends on the choice of $U$. To understand the origin of the gap it is essential to study how the $d$ states split in cubic symmetry and what their filling is. Cr in forming CrN is trivalent and hence has three $3d$ electrons. The Cr $e_g$, form antibonding states in the conduction band. Adding $U$ tends to push these empty states further up for both spins. The $t_{2g}$ on the other hand form weaker $\pi$ bonds with N $2p$, which in LSDA occur near the Fermi energy. Adding a Hubbard $U$ now shift the majority spin electrons by $-U/2$ and the minority spin ones by $U/2$ and remove them from the Fermi level. This works because the three fold degenerate majority spin state $t_{2g\uparrow}$ becomes completely filled while the minority $t_{2g\downarrow}$ becomes empty. The valence band maximum then has predominantly N$2p$ character, which makes CrN a charge transfer type Mott-insulator.

Picture of Pavel Lukashev Pavel Lukashev, Graduate Student

Session P27: Electronic Structure II

11:15 AM–1:51 PM, Wednesday, March 15, 2006
Baltimore Convention Center - 324

Sponsoring Unit: DCOMP
Chair: Anne Chaka, National Institute of Standards and Technology

Abstract: P27.00003 : Electronic structure of Cu$_{2-x}$S and related compounds

11:39 AM–11:51 AM

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Authors:

  Pavel Lukashev
  Walter R. L. Lambrecht
    (Case Western Reserve Univ.)

  Takao Kotani
  Mark van Schilfgaarde
    (Arizona State Univ.)

Chalcosite Cu$_2$S and digenite Cu$_{1.8}$S are possibly interesting semiconductors for photovoltaic applications. Their electronic structure is poorly understood because their crystal structure is complex. If consists of a close-packed lattice of S with mobile Cu occupying various types of interstitial sites with a statistical distribution depending on temperature. As a starting point for understanding these materials, we investigated the simpler antifluorite structure. Both local density approximation (LDA) and self-consistent quasiparticle GW calculations with the full-potential linearized muffin-tin orbital method give a semimetallic band structure with the Fermi level pinned at a degenerate Cu-d band state at $\Gamma$. A random distortion of the Cu atoms from the perfect antifluorite positions inside each S cage is found to break the degeneracy of the $d$ state at $\Gamma$ and thus opens up a small gap of about 0.1 eV in LDA. The experimental evidence for a semiconducting gap of about 1 eV is critically examined. To gain further insight into the Cu d and s-band shifts beyond LDA, we considered other Cu compounds such as Cu$_2$O and CuBr. We compare their LDA and GW band structures and determined the effective masses and Kohn-Luttinger Hamiltonian parameters for CuBr.

Picture of Tula R. Paudel

Tula R. Paudel, Graduate Student

Session R46: Electronic and Optical Properties of Semiconductors: First Principals

2:30 PM–5:06 PM, Wednesday, March 15, 2006
Baltimore Convention Center - 349

Sponsoring Unit: FIAP
Chair: Hai Ping Cheng, University of Florida

Abstract: R46.00009 : Electronic band structure, crystal structure and phonons of ZnSiN$_2$

4:06 PM–4:18 PM

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Authors:

  Tula R. Paudel
  Walter R. L. Lambrecht
    (Case Western Reserve Univ)

ZnSiN$_2$ is an interesting alternative to GaN. Its crystal structure is derived from the wurtzite structure of GaN by a particular ordered subsitution of the Ga atoms by Zn and Si in such as way that each N is coordinated with two Si and two Zn atoms. Electronic structure calculations were performed with two different approaches, the plane-wave ultrasoft pseudopotential approach and the full-potential linearized muffin-tin orbital method both using the local density approaximation (LDA). The structure was fully optimized. The relaxation consists primarily of the N atom finding its optimum position inside its nearest neighbor tetrahedron by making a shorter Si-N and longer Zn-N bond. An indirect LDA band gap of about 3.4 eV is obtained. Thus a gap larger than for GaN is expected. Calculations of the phonons at the center of the Brillouin zone are in progress using the linear response approach. A comparison with ZnGeN2, which was studied earlier, [W. R. L. Lambrecht et al. Phys Rev. B 72, 155202 (2005)] will be presented.

Picture of Maosheng Miao
Maosheng Miao,
Senior Research Associate

Session B46: Focus Session: Wide Band Gap Semiconductors II

11:15 AM–2:15 PM, Monday, March 13, 2006
Baltimore Convention Center - 349

Sponsoring Unit: DMP
Chair: Paul Klein, Naval Research Laboratory

Abstract: B46.00007 : Transition metal doped SiC: defect levels and magnetism

12:51 PM–1:03 PM

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Authors:

  M.S. Miao
  Walter R.L. Lambrecht
    (Case Western Reserve University)

The properties of transition metal substitutions and interstitials in 3C and 4H SiC are studied by first principles supercell calculations. The defect levels change slightly for different polytypes or for different layers in 4H SiC. The calculated defect levels are generally in good agreements with DLTS results. Ti in 4H SiC has two acceptor levels close to the conduction band minimum, corresponding to cubic and hexagonal layers.V, Cr and Mn are amphoteric and have both donor and acceptor levels in the gap. We found Mn has deep trap levels which may be useful to achieve semi-insulating SiC, as is also well-known to be the case for V. The Cr and Mn acceptor levels are deep in the gap. They are unlikely to induce holes at the valence band maximum. Therefore the well-known hole-mediated ferromagnetic mechanism does not apply to Cr and Mn doped SiC. However, our calculations showed ferromagnetic coupling for Cr or Mn doped at neighboring sites. The ferromagnetic coupling is very strong but localized for Cr:SiC. However, it is relatively weak but long range for Mn:SiC. Such features are determined by the nature of the impurity bands. The highest occupied defect state of Cr:SiC is antibonding $e$ which is localized whereas the state of Mn:SiC is $t2$ which is delocalized and strongly couples with the surrounding C dangling bonds.

Picture of Paul Larson
Paul Larson, Research Associate

Session Z23: Strongly Correlated Electrons II

11:15 AM–2:15 PM, Friday, March 17, 2006
Baltimore Convention Center - 320

Sponsoring Unit: GMAG
Chair: Patrick Morales

Abstract: Z23.00004 : Rare-earth nitrides: an LSDA+U study

11:51 AM–12:03 PM

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Authors:

  Paul Larson
  Walter Lambrecht
    (Case Western Reserve University)

  Mark van Schilfgaarde
    (Arizona State University)

The class of rare-earth (Ce-Lu) nitrides all form in the rocksalt crystal structure. One member in particular, GdN, has received considerable theoretical and experimental interest because it appears to be a bulk ferromagnetic semiconductor. The other members of this class of compounds have received much less attention. Electronic structure calculations for the entire series are presented here using a full-potential linear muffin-tin orbital (FP-LMTO) method within the LSDA+U approach. In this approach the localized orbitals have their Coulomb interactions treated in a screened Hartree-Fock mean field approximation while the remaining orbitals are treated in the standard local spin density approximation. $U$ terms were also added to the rare-earth 5$d$ states to correct for the underestimation of the band gap in LSDA. In a cubic field, the 4$f$ states split into triply degenerate $t_{1u}$ and $t_{2u}$ states and a singly degenerate $a_{2u}$ state. The large Hubbard $U$ is found to dominate crystal field splitting to determine the order of minority and majority spins. Avoiding partially filled states at the Fermi level is the dominant principle, yielding narrow gap semiconducting or semimetallic band structures. In a few cases, namely those which correspond to configurations deviating by 2 electrons from a completely empty, completely full, or half-full configuration, however, an $f$-band is forced to cross the Fermi level, possibly resulting in heavy-fermion metallic behavior.

 
Please send comments and suggestions to paul.larson@case.edu