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Lecture 2 : Berry Phase and Chern number — Physics …

2019-10-15 · Phase space Lagrangian. Regular derivation; Dynamic system; Phase space Lagrangian; Lecture notes. Lecture 1 : 1-d SSH model; Lecture 2 : Berry Phase and Chern number; Lecture 3 : Chern Insulator; Berry’s Phase. Preliminary; some topics; Weyl Semi-metal. Graphene; Three dimension: Weyl semi-metal and Chern number; Bulk-boundary corresponding ...

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Lecture 2 : Berry Phase and Chern number — Physics …

2019-10-15 · Phase space Lagrangian. Regular derivation; Dynamic system; Phase space Lagrangian; Lecture notes. Lecture 1 : 1-d SSH model; Lecture 2 : Berry Phase and Chern number; Lecture 3 : Chern Insulator; Berry’s Phase. Preliminary; some topics; Weyl Semi-metal. Graphene; Three dimension: Weyl semi-metal and Chern number; Bulk-boundary corresponding ...

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Local Berry Phase Signatures of Bilayer Graphene in ...

2020-12-19 · @article{osti_1735905, title = {Local Berry Phase Signatures of Bilayer Graphene in Intervalley Quantum Interference}, author = {Zhang, Yu and Su, Ying and He, Lin}, abstractNote = {Chiral quasiparticles in Bernal-stacked bilayer graphene have valley-contrasting Berry phases of ±2π. This nontrivial topological structure, associated with the pseudospin winding along a closed Fermi surface, …

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Berry phase transition in twisted bilayer graphene ...

2016-7-11 · In addition a transition in Berry phase between ... Graphene samples are prepared by mechanical exfoliation of natural graphite onto a substrate of SiO 2. Some flakes fold over during this procedure, yielding twisted layers which are processed and contacted for electrical measurements as sketched in figure 1(a).

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Berry phase in graphene: Semiclassical perspective - …

We derive a semiclassical expression for the Green’s function in graphene, in which the presence of a semiclassical phase is made apparent. The relationship between this semiclassical phase and the adiabatic Berry phase, usually referred to in this context, is discussed. These phases coincide for the perfectly linear Dirac dispersion relation.

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Berry phase in graphene: Semiclassical perspective - …

We derive a semiclassical expression for the Green’s function in graphene, in which the presence of a semiclassical phase is made apparent. The relationship between this semiclassical phase and the adiabatic Berry phase, usually referred to in this context, is discussed. These phases coincide for the perfectly linear Dirac dispersion relation.

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Berry phase in graphene - Physics Stack Exchange

2020-10-1 · Berry phase in graphene. Ask Question Asked 11 months ago. Active 11 months ago. Viewed 61 times 0 $\begingroup$ I was recently reading about the non-Abelian Berry phase and understood that it originates when you have an adaiabatic evolution across a degenerate manifold of states. Am I correct in thinking that a non-Abelian Berry phase would ...

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Berry phase and pseudospin winding number in …

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of $2\ensuremath{\pi}$ [K. S. Novoselov et al., Nat. Phys. 2, 177 (2006)], it has been widely accepted that the low-energy electronic wave function in this system is described by a nontrivial Berry phase of $2\ensuremath{\pi}$, different from the zero phase of a conventional two ...

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Berry phase and pseudospin winding number in …

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of $2\ensuremath{\pi}$ [K. S. Novoselov et al., Nat. Phys. 2, 177 (2006)], it has been widely accepted that the low-energy electronic wave function in this system is described by a nontrivial Berry phase of $2\ensuremath{\pi}$, different from the zero phase of a conventional two ...

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The Berry phase in graphene and graphite multilayers: …

2019-3-19 · We discuss the electron energy spectra and the Berry phases for graphene, a graphite bilayer, and bulk graphite, allowing for a small spin-orbit interaction. If an electron orbit in the Brillouin zone surrounds several Dirac points (band-contact lines in graphite), one can find the relative signs of the Berry phases generated by these points (lines) by taking this interaction into account.

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Band structure of graphene, massless Dirac fermions …

2020-10-8 · 1 Graphene as the first truly two-dimensional crystal; 2 Basic chemistry of graphene; 3 Lattice structure of graphene; 4 Tight-binding Hamiltonian of graphene; 5 Diagonalization of the tight-binding model of graphene: LCAO method; 6 Massless Dirac fermions as low-energy quasiparticles and their Berry phase; 7 Pseudospin, isospin and chirality of massless Dirac fermions

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Phys. Rev. B 77, 245413 (2008) - Berry phase in …

We derive a semiclassical expression for the Green's function in graphene, in which the presence of a semiclassical phase is made apparent. The relationship between this semiclassical phase and the adiabatic Berry phase, usually referred to in this context, is discussed. These phases coincide for the perfectly linear Dirac dispersion relation.