Large Berry phases in layered graphene
Open accessAbstract
Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude of) phases that the electronic states can acquire when a uniform time-dependent electric field carries the electrons around one or more Dirac points in a nonconcentric fashion. An experimentally accessible determination of excess Berry phases is proposed involving the Zitterbewegung of electronic current near an orthogonality point in adiabatic motion.
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Wilamowski et al. investigated microwave absorption in asymmetric Si quantum wells in an external magnetic field and detected a spin-dependent component of the Joule heating at the spin resonance; the observation was explained in terms of Bychkov-Rashba spin splitting with resulting current-induced spin precession and ZB at the Larmor frequency.
“Wilamowski et al. [40] investigated microwave absorbtion in asymmetric Si quantum wells in an external magnetic field and detected a spin-dependent component of the Joule heating at the spin resonance. The observation was explained in terms of the Bychkov-Rashba spinsplitting due to the structure inversion asymmetry with the resulting current-induced spin precession and the ZB at the Larmor”
From Zitterbewegung (trembling motion) of electrons in semiconductors: a review (2011) · cites this paper as [40]
Split into 2 atoms — 0 confirmed, 0 partially supported, 0 disputed, 0 misattributed, 2 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredThe presence of a magnetic field is essential for a successful experiment since in the absence of a magnetic field the ZB oscillations have a transient character with the decay time of tenths of femtoseconds and the detection of such oscillations is difficult.
“The presence of a magnetic field is essential for a successful experiment since, as we said above, in the absence of magnetic field the ZB oscillations have a transient character with the decay time of tenths of femtoseconds [12, 16, 18] and the detection of such oscillations is difficult.”
From Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses (2009) · cites this paper as [18]
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611 · see citing works
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Electronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445 · see citing works
Unified description of<i>Zitterbewegung</i>for spintronic, graphene, and superconducting systems
Cserti, J., & Dávid, G. (2006) · Physical Review B · doi:10.1103/physrevb.74.172305 · Cited by 198 · see citing works
Zitterbewegung of electrons in graphene in a magnetic field
Rusin, T. M., & Zawadzki, W. (2008) · Physical Review B · doi:10.1103/physrevb.78.125419 · Cited by 163 · see citing works
Transient Zitterbewegung of charge carriers in mono- and bilayer graphene, and carbon nanotubes
Rusin, T. M., & Zawadzki, W. (2007) · Physical Review B · doi:10.1103/physrevb.76.195439 · Cited by 139 · see citing works
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Research works printed but not linked: 6
- 4 M.I. Katsnelson, Materials Today, bf 10, 20 (2007).
- 6 A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov and A.K. Geim, arXiv:0709.1163 (2007). · arXiv
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Cited by
Sorted by citations
Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses
Rusin, T. M., & Zawadzki, W. (2009) · Physical Review B · doi:10.1103/physrevb.80.045416 · Cited by 133 · see citing works
Zitterbewegung (trembling motion) of electrons in semiconductors: a review
Zawadzki, W., & Rusin, T. M. (2011) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/23/14/143201 · Cited by 150 · see citing works
General theory of Zitterbewegung
Dávid, G., & Cserti, J. (2010) · Physical Review B · doi:10.1103/physrevb.81.121417 · Cited by 58 · see citing works
Nature of electron Zitterbewegung in crystalline solids
Zawadzki, W., & Rusin, T. M. (2010) · Physics Letters A · doi:10.1016/j.physleta.2010.06.028 · Cited by 33 · see citing works
- Authors
- Englman, R., & Vértesi, T.
- Affiliations
- Soreq Nuclear Research Center (IL)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-11-11
- Volume
- 78
- Issue
- 20
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2066979188
- Cited by
- 12
- References
- 6
- Citations by year
- 2025: 1 · 2024: 1 · 2020: 1 · 2019: 1 · 2016: 1 · 2013: 1 · 2012: 1
- FWCI
- 0.85
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- Berry phase, multilayer graphene, Dirac point, Zitterbewegung, adiabatic motion, time-dependent electric field, band degeneracy
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