BERRY PHASE CORRECTION TO ELECTRON DENSITY IN SOLIDS AND "EXOTIC" DYNAMICS
Open accessAbstract
Recent results on the semiclassical dynamics of an electron in a solid are explained using techniques developed for "exotic" Galilean dynamics. The system is indeed Hamiltonian and Liouville's theorem holds for the symplectic volume form. Suitably defined quantities satisfy hydrodynamic equations.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Parallel magnetic and electric fields can pump electrons between Weyl cones of opposite chirality separated in momentum space.
“In this situation, parallel magnetic and electric fields can pump electrons between Weyl cones of opposite chirality that are separated in momentum space (Fig. 1a).”
From Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal (2016) · cites this paper as [17]
Cited by
Sorted by citations
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277 · see citing works
Chiral anomaly and classical negative magnetoresistance of Weyl metals
Son, D. T., & Spivak, B. Z. (2013) · Physical Review B · doi:10.1103/physrevb.88.104412 · Cited by 1,378 · see citing works
Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal
Zhang, C.-L., Xu, S.-Y., Belopolski, I., Yuan, Z., Lin, Z., Tong, B., Bian, G., Alidoust, N., Lee, C.-C., Huang, S.-M., et al. (2016) · Nature Communications · doi:10.1038/ncomms10735 · Cited by 760 · see citing works
Chiral Anomaly as the Origin of the Planar Hall Effect in Weyl Semimetals
Nandy, S., Sharma, G., Taraphder, A., & Tewari, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.176804 · Cited by 355 · see citing works
Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
Sharma, G., Goswami, P., & Tewari, S. (2017) · Physical Review B · doi:10.1103/physrevb.96.045112 · Cited by 98 · see citing works
Measurement of Chern numbers through center-of-mass responses
Price, H. M., Zilberberg, O., Ozawa, T., Carusotto, I., & Goldman, N. (2016) · Physical Review B · doi:10.1103/physrevb.93.245113 · Cited by 86 · see citing works
- Authors
- DUVAL, C., HORVÁTH, Z., HORVÁTHY, P. A., MARTINA, L., & STICHEL, P. C.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Eötvös Loránd University (HU)
- Université de Tours (FR)
- University of Salento (IT)
- An der Krebskuhle 21, D-33 619 Bielefeld, Germany
- Venue
- Modern Physics Letters B
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2006-03-20
- Volume
- 20
- Issue
- 07
- Pages
- 373-378
- ISSN
- 0217-9849 (ISSN-L)
- 1793-6640
- OpenAlex
- W2115363914
- Cited by
- 138
- References
- 0
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 6 · 2023: 10 · 2022: 12 · 2021: 14 · 2020: 7 · 2019: 10 · 2018: 9 · 2017: 16 · 2016: 11 · 2015: 5 · 2014: 7 · 2013: 4 · 2012: 6
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Modern Physics Letters B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- AIRUS (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Berry phase, electron density, semiclassical dynamics, Hamiltonian systems, Liouville's theorem, hydrodynamic equations
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
