2002/10/18 by Yi Xiao, Vincent Pelletier, Paul M. Chaikin +2 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Cold Atom Physics and Bose-Einstein Condensates #Topological Materials and Phenomena #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.67.104505
published as Phys. Rev. B 67, 104505 (2003). · 18 pages, 8 figures
arxiv created 2002/10/18 · openalex publication_date 2003/03/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The spectrum of charged particles hopping on a kagom'e lattice in a uniform transverse magnetic field shows an unusual set of Landau levels at low field. They are unusual in two respects: the lowest Landau levels are paramagnetic so their energies decrease linearly with increasing field magnitude, and the spacings between the levels are not equal. These features are shown to follow from the degeneracy of the energy bands in zero magnetic field. We give a general discussion of Landau levels in the case of two degenerate bands and show how the kagom'e lattice tight-binding model includes one special case of this more general problem. We also discuss the consequences of this for the behavior of the critical temperature of a kagom'e grid superconducting wire network, which is the experimental system that originally motivated this work.