Quantum Hall Effect on Odd-Dimensional Spheres

Date

2017-02-10

Author

Kürkcüoğlu, Seçkin

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https://hdl.handle.net/11511/85575

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Quantum Hall effect on odd spheres Coskun, U. H.; Kürkcüoğlu, Seçkin; Toga, G. C. (2017-03-22) We solve the Landau problem for charged particles on odd dimensional spheres S2k-1 in the background of constant SO(2k - 1) gauge fields carrying the irreducible representation (I/2,I/2, . . . , I/2). We determine the spectrum of the Hamiltonian, the degeneracy of the Landau levels and give the eigenstates in terms of the Wigner D-functions, and for odd values of I, the explicit local form of the wave functions in the lowest Landau level (LLL). The spectrum of the Dirac operator on S2k-1 in the same gauge f...
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Citation Formats

S. Kürkcüoğlu, “Quantum Hall Effect on Odd-Dimensional Spheres,” 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/85575.