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P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri

Year 2017, Volume: 19 Issue: 3, 31 - 37, 07.12.2017
https://doi.org/10.25092/baunfbed.363752

Abstract

Kesişmeme yaklaşımını kullanarak p ve n
katkılı grafen elektrotlara asimetrik olarak bağlanmış güçlü korelasyonlu bir
kuantum noktacığı boyunca kuantum taşınmasını araştırdık. Kuantum noktacığı bir
kapı voltajı yoluyla aniden elektrotların Fermi düzeyine yakın bir noktaya
getirildiğinde meydana gelen iletkenliğin karmaşık dalgalanmalar gösterdiğini
bulduk. Bu dalgalanmaların ortam sıcaklığı Kondo sıcaklığının üstüne çıktığında
ve asimetri faktörü azaldığında giderek sönümlendiğini tespit ettik.
Gözlemlenen dalgalanmaların Fourier dönüşümü yoluyla analizi sonucunda,
titreşimlerin n katkılı grafende Dirac noktası ve bant kenarının Fermi düzeyine
uzaklığıyla orantılı iki farklı frekansta gerçekleşirken p katkılı grafende
bant kenarının Fermi düzeyine uzaklığıyla orantılı sadece tek bir titreşim
frekansı olduğunu bulduk. Bu durumu Fermi düzeyindeki gelişen Kondo
rezonansının elektrotların durumlar yoğunluğundaki van Hove tekillikleriyle
dinamik girişimini öneren bir mikroskopik teoriye bağladık. 

References

  • Nordlander, P., Pustilnik, M., Meir, Y., Wingreen, N.S. ve Langreth, D.C., How long does it take for the Kondo effect to develop?, Physical Review Letters, 83, 4, 808-811, (1999).
  • Plihal, M., Langreth, D.C. ve Nordlander, P., Kondo time scales for quantum dots: Response to pulsed bias potentials, Physical Review B, 61, 20, R13341-R13344, (2000).
  • Schiller, A. ve Hershfield, S., Out-of-equilibrium Kondo effect: Response to pulsed fields, Physical Review B, 62, 24, R16271-R16274, (2000).
  • Plihal, M., Langreth, D.C. ve Nordlander, P., Transient currents and universal timescales for a fully time-dependent quantum dot in the Kondo regime, Physical Review B, 71, 16, 165321, (2005).
  • Anders, F.B. ve Schiller, A., Real time dynamics in quantum-impurity systems: A time-dependent numerical renormalization-group approach, Physical Review Letters, 95, 19, 196801, (2005).
  • Goker, A., Friedman, B.A. ve Nordlander P., Transient current in a quantum dot asymmetrically coupled to metallic leads, Journal of Physics: Condensed Matter, 19, 37, 376206, (2007).
  • Novoselov, K.S., Geim, A.K. , Morozov, S.V. , Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V. ve Firsov, A.A., Electric field effect in atomically thin carbon films, Science, 306, 5696, 666-669, (2004).
  • Nair, R. R., Blake, P., Grigorenko, A. N., Novoselov, K. S., Booth, T. J., Stauber, T., Peres, N.M.R. ve Geim, A.K., Fine structure constant defines visual transparency of graphene, Science, 320, 5881, 1308, (2008).
  • Lee, C., Wei, X., Kysar, J.W. ve Hone, J., Measurement of the elastic properties and intrinsic strength of monolayer graphene, Science, 321, 5887, 385-388, (2008).
  • Balandin, A.A., Thermal properties of graphene and nanostructured carbon materials, Nature Materials, 10, 8, 569-581, (2011).
  • Anderson, P.W., Localized magnetic states in metals, Physical Review, 124, 41-53, (1961).
  • Kadanoff, L.P. ve Baym, G., Quantum statistical mechanics, New York, W.A. Benjamin, (1976).
  • Langreth, D.C., Linear and nonlinear response theory with applications in J.T. Devreese and V.E. van Doren, Linear and nonlinear electron transport in solids, Plenum Press, 3-32, New York NY, (1976).
  • Coleman, P., New approach to the mixed valence problem, Physical Review B, 29, 6, 3035-3044, (1984).
  • Langreth, D.C. ve Nordlander, P. , Derivation of a master equation for charge-transfer processes in atom-surface collisions, Physical Review B, 43, 4, 2541-2557, (1991).
  • Shao, H.X., Langreth, D.C. ve Nordlander, P., Many-body theory for charge-transfer in atom-surface collisions, Physical Review B, 49, 19, 13929-13947, (1994).
  • Langreth, D.C. ve Nordlander, P., Derivation of a master equation for charge-transfer processes in atom-surface collisions, Physical Review B, 43, 4, 2541-2557, (1991).
  • Kondo, J., Resistance minimum in dilute magnetic alloys, Progress in Theoretical Physics, 32, 1, 37-49, (1964). Izmaylov, A.F., Goker, A., Friedman, B.A. ve Nordlander, P., Transient current in a quantum dot subject to a change in coupling to its leads, Journal of Physics: Condensed Matter, 18, 39, 8995–9006, (2006).

Real time electron dynamics in a strongly correlated quantum dot asymmetrically coupled to p and n doped graphene electrodes

Year 2017, Volume: 19 Issue: 3, 31 - 37, 07.12.2017
https://doi.org/10.25092/baunfbed.363752

Abstract

We investigated the quantum transport
through a strongly correlated quantum dot asymmetrically coupled to p and n
doped graphene electrodes invoking the non-crossing approximation. We found
that the conductance exhibits complex fluctuations when the dot level is
abruptly moved to a position close to the Fermi level of the electrodes via a
gate voltage. We determined that these fluctuations get gradually suppressed
when the ambient temperature starts to exceed the Kondo temperature and the
asymmetry factor decreases. As a result of the analysis of these fluctuations
via the Fourier transform, we found that while the oscillations take place in
two distinct frequencies which are proportional to the distance of the Dirac
point and the band edge to the Fermi level for the n doped graphene, there
exists only one oscillation frequency proportional to the distance of the band
edge to the Fermi level. We attributed this situation to a microscopic theory
which suggests the dynamical interference of the developing  Kondo resonance at the Fermi level with the
van Hove singularities at the density of states of the electrodes.

References

  • Nordlander, P., Pustilnik, M., Meir, Y., Wingreen, N.S. ve Langreth, D.C., How long does it take for the Kondo effect to develop?, Physical Review Letters, 83, 4, 808-811, (1999).
  • Plihal, M., Langreth, D.C. ve Nordlander, P., Kondo time scales for quantum dots: Response to pulsed bias potentials, Physical Review B, 61, 20, R13341-R13344, (2000).
  • Schiller, A. ve Hershfield, S., Out-of-equilibrium Kondo effect: Response to pulsed fields, Physical Review B, 62, 24, R16271-R16274, (2000).
  • Plihal, M., Langreth, D.C. ve Nordlander, P., Transient currents and universal timescales for a fully time-dependent quantum dot in the Kondo regime, Physical Review B, 71, 16, 165321, (2005).
  • Anders, F.B. ve Schiller, A., Real time dynamics in quantum-impurity systems: A time-dependent numerical renormalization-group approach, Physical Review Letters, 95, 19, 196801, (2005).
  • Goker, A., Friedman, B.A. ve Nordlander P., Transient current in a quantum dot asymmetrically coupled to metallic leads, Journal of Physics: Condensed Matter, 19, 37, 376206, (2007).
  • Novoselov, K.S., Geim, A.K. , Morozov, S.V. , Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V. ve Firsov, A.A., Electric field effect in atomically thin carbon films, Science, 306, 5696, 666-669, (2004).
  • Nair, R. R., Blake, P., Grigorenko, A. N., Novoselov, K. S., Booth, T. J., Stauber, T., Peres, N.M.R. ve Geim, A.K., Fine structure constant defines visual transparency of graphene, Science, 320, 5881, 1308, (2008).
  • Lee, C., Wei, X., Kysar, J.W. ve Hone, J., Measurement of the elastic properties and intrinsic strength of monolayer graphene, Science, 321, 5887, 385-388, (2008).
  • Balandin, A.A., Thermal properties of graphene and nanostructured carbon materials, Nature Materials, 10, 8, 569-581, (2011).
  • Anderson, P.W., Localized magnetic states in metals, Physical Review, 124, 41-53, (1961).
  • Kadanoff, L.P. ve Baym, G., Quantum statistical mechanics, New York, W.A. Benjamin, (1976).
  • Langreth, D.C., Linear and nonlinear response theory with applications in J.T. Devreese and V.E. van Doren, Linear and nonlinear electron transport in solids, Plenum Press, 3-32, New York NY, (1976).
  • Coleman, P., New approach to the mixed valence problem, Physical Review B, 29, 6, 3035-3044, (1984).
  • Langreth, D.C. ve Nordlander, P. , Derivation of a master equation for charge-transfer processes in atom-surface collisions, Physical Review B, 43, 4, 2541-2557, (1991).
  • Shao, H.X., Langreth, D.C. ve Nordlander, P., Many-body theory for charge-transfer in atom-surface collisions, Physical Review B, 49, 19, 13929-13947, (1994).
  • Langreth, D.C. ve Nordlander, P., Derivation of a master equation for charge-transfer processes in atom-surface collisions, Physical Review B, 43, 4, 2541-2557, (1991).
  • Kondo, J., Resistance minimum in dilute magnetic alloys, Progress in Theoretical Physics, 32, 1, 37-49, (1964). Izmaylov, A.F., Goker, A., Friedman, B.A. ve Nordlander, P., Transient current in a quantum dot subject to a change in coupling to its leads, Journal of Physics: Condensed Matter, 18, 39, 8995–9006, (2006).
There are 18 citations in total.

Details

Journal Section Research Articles
Authors

Ali İhsan Göker This is me

Publication Date December 7, 2017
Submission Date August 19, 2017
Published in Issue Year 2017 Volume: 19 Issue: 3

Cite

APA Göker, A. İ. (2017). P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 19(3), 31-37. https://doi.org/10.25092/baunfbed.363752
AMA Göker Aİ. P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri. BAUN Fen. Bil. Enst. Dergisi. December 2017;19(3):31-37. doi:10.25092/baunfbed.363752
Chicago Göker, Ali İhsan. “P Ve N katkılı Grafen Elektrotlara Asimetrik bağlı güçlü Korelasyonlu Bir Kuantum noktacığında gerçek Zamanlı Elektron Dinamikleri”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 19, no. 3 (December 2017): 31-37. https://doi.org/10.25092/baunfbed.363752.
EndNote Göker Aİ (December 1, 2017) P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 19 3 31–37.
IEEE A. İ. Göker, “P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri”, BAUN Fen. Bil. Enst. Dergisi, vol. 19, no. 3, pp. 31–37, 2017, doi: 10.25092/baunfbed.363752.
ISNAD Göker, Ali İhsan. “P Ve N katkılı Grafen Elektrotlara Asimetrik bağlı güçlü Korelasyonlu Bir Kuantum noktacığında gerçek Zamanlı Elektron Dinamikleri”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 19/3 (December 2017), 31-37. https://doi.org/10.25092/baunfbed.363752.
JAMA Göker Aİ. P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri. BAUN Fen. Bil. Enst. Dergisi. 2017;19:31–37.
MLA Göker, Ali İhsan. “P Ve N katkılı Grafen Elektrotlara Asimetrik bağlı güçlü Korelasyonlu Bir Kuantum noktacığında gerçek Zamanlı Elektron Dinamikleri”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 19, no. 3, 2017, pp. 31-37, doi:10.25092/baunfbed.363752.
Vancouver Göker Aİ. P ve n katkılı grafen elektrotlara asimetrik bağlı güçlü korelasyonlu bir kuantum noktacığında gerçek zamanlı elektron dinamikleri. BAUN Fen. Bil. Enst. Dergisi. 2017;19(3):31-7.