Tunneling of Bloch electrons through vacuum barrier

Europhysics Letters

Volumn 55, Issue 3, 2001, Pages 404-410

  Mazin, I I ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035413528     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2001-00414-0     Document Type: Article

References (16)

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2. PRINZ G. A., Phys Today, 48 (1995) 58; Science, 282 (1998) 1660.
3. k-2000 conference in Schwab̈isch Gmun̈d, Germany, 2000.
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6. SHARVIN YU. V., Zh. Exp. Teor. Phys., 48 (1965) 984; Sov. Phys. JETP, 21 (1965) 655.
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10. x|) was called the current-carrying density of states, as opposed to the thermodynamical density of states, N.
11. LANDAU L. D. and LIFSHITS E. M., Quantum Mechanics (Pergamon Press, Oxford, New York) 1977.
12. As discussed below, at the interface itself one has to match surface states with the vacuum states, and the gradient of a surface state is not directly realted with velocity. However, an incoming bulk Bloch wave has a well-defined group velocity, which determines the corresponding particle flux. This Bloch wave is transformed and distorted at the interface, but the flux conservation must hold throughout the whole crystal, and thus the bulk group velocity will still be responsible for the prefactors in the tunneling probability.
13. There is an interesting question of whether or not the electronic group velocities in this formula should include many-body renormalizations beyond the conventional band theory (e.g., Kondo-type). See discussion of this question in DEUTSCHER G. and NOZIERES P., Phys. Rev. B, 50 (1994) 13557.
14. NADGORNY B., SOULEN R. J. JR., OSOFSKY M. S., MAZIN I. I., LAPRADE G., VAN DE VEERDONK R. J. M., SMITS A. A., CHENG S. F., SKELTON E. F. and QADRI S. B., Phys. Rev. B, 61 (2000) 3788.
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16. 3 has been recently confirmed experimentally (WORLEDGE D. C. and GEBALLE T. H., Phys. Rev. Lett., 85 (2000) 5182).