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Mass Term Effect on Fractional Quantum Hall States of Dirac Particles (Hardcover, 1st ed. 2022)
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Mass Term Effect on Fractional Quantum Hall States of Dirac Particles (Hardcover, 1st ed. 2022)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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This book presents the high-precision analysis of ground states and
low-energy excitations in fractional quantum Hall states formed by
Dirac electrons, which have attracted a great deal of attention. In
particular the author focuses on the physics of fractional quantum
Hall states in graphene on a hexagonal boron nitride substrate,
which was recently implemented in experiments. The numerical
approach employed in the book, which uses an exact numerical
diagonalization of an effective model Hamiltonian on a Haldane's
sphere based on pseudopotential representation of electron
interaction, provides a better understanding of the recent
experiments. The book reviews various aspects of quantum Hall
effect: a brief history, recent experiments with graphene, and
fundamental theories on integer and fractional Hall effects. It
allows readers to quickly grasp the physics of quantum Hall states
of Dirac fermions, and to catch up on latest research on the
quantum Hall effect in graphene.
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