Hierarchy of spin and valley symmetry breaking in quantum Hall single-layer graphene
- Authors
- Yang, Z[Yang, Zhihua]; Han, JH[Han, Jung Hoon]
- Issue Date
- Mar-2010
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW B, v.81, no.11
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW B
- Volume
- 81
- Number
- 11
- URI
- https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/74744
- DOI
- 10.1103/PhysRevB.81.115405
- ISSN
- 1098-0121
- Abstract
- Several microscopic mechanisms for breaking the fourfold degeneracy of the central Landau level in a single-layer graphene is examined. We consider valley-scattering random potential, Zeeman interaction, and electron-phonon coupling as potential candidates to break the SU(4) symmetry of the Coulomb exchange interaction. A phase diagram is worked out, giving either the "spin-first" or "valley-first" splitting of the central Landau levels depending on the relative strengths of the electron-phonon coupling and the Zeeman interaction. Existence of a midgap band at the domain wall separating Landau levels of opposite valley polarity is demonstrated.
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