Probing Pauli blocking factors in quantum pumps with broken time-reversal symmetry

Physical Review Letters

Volumn 85, Issue 1, 2000, Pages 174-177

  Wagner, Mathias ^a  

^a HITACHI CAMBRIDGE LABORATORY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON SCATTERING; ELECTRON TUNNELING; ELECTRONIC DENSITY OF STATES; FERMI LEVEL; FERMI SURFACE; INTEGRAL EQUATIONS; PHOTONS; PROBABILITY; TEMPERATURE;

PAULI BLOCKING FACTOR; PHOTON ASSISTED TUNNELING; QUANTUM ELECTRON PUMP; TEMPERATURE DEPENDENCE; TIME REVERSAL SYMMETRY;

QUANTUM THEORY;

EID: 0034229107     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.174     Document Type: Article

References (21)

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2. 1 perpendicular to the tunneling, which we assume to be conserved.
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5. See, for instance, the review by C. B. Duke, Tunneling in Solids, Solid State Physics Vol. 10 (Suppl.) (Academic, New York, 1969).
6. A discussion for the case of elastic collisions can be found in B. I. Sturman, Usp. Fiz. Nauk 144, 497 (1984) [Sov. Phys. Usp. 27, 881 (1984)]; F. Sols, Ann. Phys. (N.Y.) 214, 386 (1992).
7. A discussion for the case of elastic collisions can be found in B. I. Sturman, Usp. Fiz. Nauk 144, 497 (1984) [Sov. Phys. Usp. 27, 881 (1984)]; F. Sols, Ann. Phys. (N.Y.) 214, 386 (1992).
8. A discussion for the case of elastic collisions can be found in B. I. Sturman, Usp. Fiz. Nauk 144, 497 (1984) [Sov. Phys. Usp. 27, 881 (1984)]; F. Sols, Ann. Phys. (N.Y.) 214, 386 (1992).
9. This is the same reasoning as in Fermi's golden rule, and so by analogy the transfer-Hamiltonian formalism applies only for small transmission probabilities.
10. M. Switkes, C. M. Marcus, K. Campman, and A. C. Gossard, Science 283, 1905 (1999).
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12. B. L. Altshuler and L. I. Glazman, Science 283, 1864 (1999); F. Zhou, B. Spivak, and B. L. Altshuler, Phys. Rev. Lett. 82, 608 (1999); I. L. Aleiner and A. V. Andreev, Phys. Rev. Lett. 81, 1286 (1998); Q. Niu, Phys. Rev. Lett. 64, 1812 (1990).
13. B. L. Altshuler and L. I. Glazman, Science 283, 1864 (1999); F. Zhou, B. Spivak, and B. L. Altshuler, Phys. Rev. Lett. 82, 608 (1999); I. L. Aleiner and A. V. Andreev, Phys. Rev. Lett. 81, 1286 (1998); Q. Niu, Phys. Rev. Lett. 64, 1812 (1990).
14. B. L. Altshuler and L. I. Glazman, Science 283, 1864 (1999); F. Zhou, B. Spivak, and B. L. Altshuler, Phys. Rev. Lett. 82, 608 (1999); I. L. Aleiner and A. V. Andreev, Phys. Rev. Lett. 81, 1286 (1998); Q. Niu, Phys. Rev. Lett. 64, 1812 (1990).
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16. A similar system has been studied by F. Hekking and Y. V. Nazarov, Phys. Rev. B 44, 9110 (1991).
17. M. Wagner and W. Zwerger, Phys. Rev. B 55, 10217R (1997).
18. n of the outgoing channels. Summing over all channels n, Hekking et al. thus find the total transmission probability, in the absence of Pauli blocking factors, not to depend on the phase shift θ at all, and they conclude that there is no pump current in this case. This is, however, not a conclusive result, as it simply reflects their assumption of unitary total transmission probability even in the presence of the driving field.
19. This linear relationship has been said to be a fingerprint of adiabatic pumping, but as seen here photon-assisted tunneling yields the same dependency.
20. To avoid spurious low-energy resonance effects in the dot (which would not exist had we included potential fluctuations) we impose a lower cutoff to the energy integration in Eqs. (1) and (2) at 1 GHz. Changing this cutoff leads to small quantitative but no qualitative changes in our results.
21. S. Datta and M. P. Anantram, Phys. Rev. B 45, 13 761 (1992).