Abstract
We present electron diffraction and electron photoemission results for thin Au films grown on Nb(100) in a hexagonal close-packed stacking sequence, which is unusual for Au. Strong d-band [48] quantum size effects occur in photo-electron spectroscopy from 5-26 monolayer thick \(\left( {11\bar 20} \right)\) oriented Au films whose confined direction ([11.0]) is not perpendicular to any face of the bulk Brillouin zone. Also in this case, the energetics of the quantum well states can be explained by a discretisation of the bulk band structure corresponding to the quantum well. However, the bulk states corresponding to the quantum well states do not lie in the confined direction of the first bulk Brillouin zone, contrary to what is required by the quantum well. This can be remedied by the construction of a layer symmetry adapted Brillouin zone, which is consistent with the symmetry of the quantum well but different from the bulk one. We subsequently determine, for the first time, the k ‖ periodicity of the quantum well states from their measured E(k ‖). This periodicity proves to be consistent with the newly introduced Brillouin zone.
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References
F.J. Himpsel, J.E. Ortega, G.J. Mankey, R.F. Willis, Adv. Phys. 47, 511 (1998)
T.-C. Chiang, Surf. Sci. Rep. 39, 181 (2000)
M. Milun, P. Pervan, D.P. Woodruff, Rep. Prog. Phys. 65, 99 (2002)
Z.Q. Qiu, N.V. Smith, J. Phys. Condens. Matter 14, R169 (2002)
R. Zdyb, E. Bauer, Phys. Rev. Lett. 88, 166403 (2002)
J.E. Ortega, F.J. Himpsel, Phys. Rev. Lett. 69, 844 (1992); J.E. Ortega, F.J. Himpsel, G.J. Mankey, R.F. Willis, Phys. Rev. B 47, 1540 (1993)
N.V. Smith, N.B. Brookes, Y. Chang, P.D. Johnson, Phys. Rev. B 49, 332 (1994)
R.K. Kawakami, E. Rotenberg, H. Choi, E. Escorcia-Aparicio, M. Bowen, J. Wolfe, E. Arenholz, Z. Zhang, N.V. Smith, Z. Qiu, Nature 398, 132 (1999)
M. Steslicka et al. , Surf. Sci. Rep. 47, 93 (2002)
Two states whose wave vectors k ⊥ and \(\widetilde{k_\perp}\) are given in the bulk-BZ are equivalent only if they can be reduced to one another by the periodicity of 2π/d, which means that they are related to each other by \(k_{\perp}=2\pi /d -\widetilde{k_\perp}\)
A. Beckmann, M. Klaua, K. Meinel, Phys. Rev. B 48, 1844 (1993)
L. Aballe, thesis, Berlin, 2000
L. Aballe, C. Rogero, P. Kratzer, S. Gokhale, K. Horn, Phys. Rev. Lett. 86, 5108 (2001)
Y.Z. Wu, C.Y. Won, E. Rotenberg, H.W. Zhao, F. Toyoma, N.V. Smith, Z.Q. Qiu, Phys. Rev. B 66, 245418 (2002)
H. Eckardt, L. Fritsche, J. Phys. F 16, 1731 (1986); L. Fritsche, Y.M. Gu, Phys. Rev. B 48, 4250 (1993)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
P. Blaha, K. Schwarz, J. Luitz, WIEN97, A Full Potential Linearised Augmented Plane Wave Package for Calculating Crystal Properties (Karlheinz Schwarz, Techn. Universität Wien, Austria), 1999, ISBN 3-9501031-0-4
E. Bauer, private communication
E. Hüger, K. Osuch, Europhys. Lett. 62, 278 (2003)
E. Hüger, K. Osuch, Europhys. Lett. 63, 90 (2003)
H.-G. Zimmer, A. Goldmann, Surf. Sci. 176, 115 (1986)
P. Heiman, H. Neddermayer, H.F. Roloff, Phys. Rev. Lett. 37, 775 (1976)
S.A. Chambers, Adv. Phys. 40, 357 (1991)
D.P. Woodruff, A.M. Bradshaw, Rep. Prog. Phys. 57, 1029 (1994); D.P. Woodruff, Surf. Sci. 299/300, 183 (1994)
W.F. Egelhoff, Jr., in Ultrathin magnetic structures I, edited by J.A.C. Bland, B. Heinrich (Springer, Berlin, 1994), ISBN 3-540-57407-7
Z.-L. Han, S. Hardcastle, G.R. Harp, H. Li, X.-D. Wang, J. Zhang, B.P. Tonner, Surf. Sci. 258, 313 (1991)
H. Wormeester, E. Hüger, E. Bauer, Phys. Rev. B 57, 10120 (1998)
G.C. Gazzadi, S. Valeri, Europhys. Lett. 45, 501 (1999)
E. Hüger, H. Wormeester, E. Bauer, Surf. Sci. 438, 185 (1999); H. Wormeester, E. Hüger, E. Bauer, Phys. Rev. Lett. 77, 1540 (1996)
F. Jona, X.Z. Ji, P.M. Marcus, Phys. Rev. B 68, 075421 (2003)
Reflection High-Energy Diffraction and Reflection Electron Imaging of Surfaces, edited by P.K. Larson, P.J. Dobson, NATO ASI Series B 188 (Plenum, New York, 1988)
W. Donner, N. Metoki, A. Abromeit, H. Zabel, Phys. Rev. B 48, 14745 (1993)
N. Metoki, W. Donner, H. Zabel, Phys. Rev. B 49, 17351 (1994)
J.C.A. Huang, Y. Liou, H.L. Liu, Y.J. Wu, J. Crystal Growth 139, 363 (1994)
Y. Liou, J.C.A. Huang, Y.D. Yao, C.H. Lee, K.T. Wu, C.L. Lu, S.Y. Liao, Y.Y. Chen, N.T. Liang, W.T. Yang, C.Y. Chen, B.C. Hu, J. Appl. Phys. 76, 6516 (1994)
Y.Z. Wu, H.F. Ding, C. Jing, D. Wu, G.L. Liu, V. Gordon, G.S. Dong, X.F. Jin, S. Zhu, K. Sun, Phys. Rev. B 57, 11935 (1998)
E. Gu, M. Gester, R.J. Hicken, C. Daboo, M. Tselepi, S.J. Gray, J.A.C. Bland, L.M. Brown, T. Thomson, P.C. Riedi, Phys. Rev. B 52, 14704 (1995)
S. Oikawa, T. Kanno, S. Iwata, S. Tsunashima, J. Magn. Magn. Mat. 156, 73 (1996)
P. Bayle-Guillemaud, J. Thibault, Phil. Mag. A 77, 475 (1998)
A.R. Smith, K.-J. Chao, Q. Niu, C.-K. Shih, Science 273, 226 (1996)
S. Hüfner, Photoelectron Spectroscopy (Springer, Berlin, 1995)
D.M. Hatch, H.D. Stokes, Phase Transitions 7, 87 (1987)
C.J. Bradley, A.P. Cracknell, The mathematical theory of symmetry in solids (Clarendon Press, Oxford, 1972)
E. Hüger, K. Osuch, in preparation
S.L. Altmann, Band theory of metals (Pergamon Press, Oxford, New York, 1970)
L. Aballe, C. Rogero, K. Horn, Phys. Rev. B 65, 125319 (2002)
O. Rader, A.M. Shikin, Phys. Rev. B 64, 201406R (2001)
The fact that the observed states are of d type is not essential for the problems considered here. The d-type character of these states makes it only possible to determine their k ‖ periodicity from the measured E(k ‖) dependence because the d bands in Au are fully occupied. Therefore, they do not cross the Fermi level, enabling us to determine with ARUPS (which only probes occupied bands) their E(k ‖) dependence over the entire k ‖ region
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Received: 1 December 2003, Published online: 15 March 2004
PACS:
73.21.-b Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems - 82.80.Pv Electron spectroscopy (X-ray photoelectron (XPS), Auger electron spectroscopy (AES), etc.) - 71.15.Mb Density functional theory, local density approximation, gradient and other corrections - 71.20.Gj Other metals and alloys
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Hüger, E., Osuch, K. Quantum well states in thin (110)-oriented Au films and k-space symmetry. Eur. Phys. J. B 37, 149–162 (2004). https://doi.org/10.1140/epjb/e2004-00041-1
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DOI: https://doi.org/10.1140/epjb/e2004-00041-1