Comment on "Berry phase correction to electron density of states in solids".
نویسندگان
چکیده
Recent results of Xiao, Shi and Niu [cond-mat/0502340] on the semiclassical dynamics of an electron in a solid are related to “exotic” Galilean dynamics. The dynamics is Hamiltonian in a generalized sense and the validity of Liouville’s theorem is restored if the symplectic volume form is used.
منابع مشابه
Comment on “ Berry phase correction to electron density in solids ”
Comment on " Berry phase correction to electron density in solids " by Xiao et al. Abstract The main result of Xiao et al. In a recent paper on the semiclassical dynamics of a Bloch electron, Xiao, Shi and Niu [1] claim that, due to a Berry curvature term, Liouville's theorem on the conservation of the phase-space volume element would be violated, a fact which would have been overlooked so far....
متن کاملHamiltonian mechanics.
Comment on " Berry phase correction to electron density in solids " by Xiao et al. Abstract The main result of Xiao et al. In a recent paper on the semiclassical dynamics of a Bloch electron, Xiao, Shi and Niu [1] claim that, due to a Berry curvature term, Liouville's theorem on the conservation of the phase-space volume element would be violated, a fact which would have been overlooked so far....
متن کاملBerry phase correction to electron density of states in solids.
Liouville's theorem on the conservation of phase-space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase-space density of states, whose significance is discussed in a number of examples: field modification of the Fermi-sea volume, connection to the anomalous Hall effect, and a general formula for orbital magnetization. ...
متن کاملSe p 20 05 Comment on “ Berry phase correction to electron density in solids
The main result of Xiao et al. [ Phys. Rev. Lett. 95, 137204 (2005)] is shown to follow from Hamiltonian mechanics. In a recent paper on the semiclassical dynamics of a Bloch electron, Xiao, Shi and Niu [1] claim that, due to a Berry curvature term, Liouville’s theorem on the conservation of the phasespace volume element would be violated, a fact which would have been overlooked so far. Their m...
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We present a fresh perspective on the Landau level quantization rule; that is, by successively including zero-field magnetic response functions at zero temperature, such as zero-field magnetization and susceptibility, the Onsager's rule can be corrected order by order. Such a perspective is further reinterpreted as a quantization of the semiclassical electron density in solids. Our theory not o...
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ورودعنوان ژورنال:
- Physical review letters
دوره 96 9 شماره
صفحات -
تاریخ انتشار 2006