Theory of the three-dimensional quantum Hall effect in graphite.
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Summary
The three-dimensional Hofstadter problem of a realistic tight-binding Hamiltonian for graphite is analyzed, the gaps in the spectrum are found, and the critical value of the magnetic field above which the Hall plateau appears is estimated.
- Type
- article
- Published
- 2007-01-18
- Cited by
- 85
- References
- 28
- Access
- Open access
- OpenAlex
- https://openalex.org/W1999831356
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:23183195
Keywords
Quantum Hall effect, Condensed matter physics, Landau quantization, Physics, Hamiltonian (control theory)
References
- Band Structure of Graphite
- Sign Reversal of the Quantum Hall Number in (TMTSF)2PF6.
- Optical Properies of Graphite
- Possible States for a Three-Dimensional Electron Gas in a Strong Magnetic Field
- Reentrant metallic behavior of graphite in the quantum limit.
- Levitation of Extended-State Bands in a Strong Magnetic Field
- Theory of Diamagnetism of Graphite
- Quantized Hall conductance in a two-dimensional periodic potential
- Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
- High-magnetic-field electronic phase transition in graphite observed by magnetoresistance anomaly
- Integer quantum Hall effect in graphite
- Electronic properties of graphene multilayers.
- Competing Instabilities and the High Field Phases of (TMTSF)2ClO4.
- Chiral surface states in the bulk quantum Hall effect.
- Intercalation compounds of graphite
- Quantization of the Hall effect in an anisotropic three-dimensional electronic system.
- Band Structure of Graphite and de Haas-van Alphen Effect
- First direct observation of Dirac fermions in graphite
- Three-dimensional disordered conductors in a strong magnetic field: Surface states and quantum Hall plateaus.
- Dispersion relations in graphite intercalation compounds: Electronic energy bands
Cited by
- Two phase transitions induced by a magnetic field in graphite.
- Transport study of the Berry phase, resistivity rule, and quantum Hall effect in graphite
- On exotic orders in strongly correlated systems
- Magnetoplasmons in simple hexagonal graphite
- Charge Density Waves and Axion Strings from Weyl Semimetals
- Stacking faults, bound states, and quantum Hall plateaus in crystalline graphite
- Classification of “Real” Bloch-bundles: Topological quantum systems of type AI
- Influence of interlayer tunneling on the quantized Hall phases in intentionally disordered multilayer structures
- Weyl points and line nodes in gyroid photonic crystals
- Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
- Optical magnetoplasmons in rhombohedral graphite with a three-dimensional Dirac cone structure
- Landau subband wave functions and chirality manifestation in rhombohedral graphite
- Layer construction of 3D topological states and string braiding statistics
- Electronic properties of stacks of graphene layers
- The electronic properties of graphene
- Graphene Physics in Graphite
- Beating oscillations of magneto-optical spectra in simple hexagonal graphite
- Hall viscosity from elastic gauge fields in Dirac crystals
- Observation of quantum Hall effect in a microstrained Bi_2Se_3 single crystal
- Geometry of the momentum space: From wire networks to quivers and monopoles
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