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Bosonic Dirac materials in two dimensions | Saikat Banerjee
; J. Fransson
; A. M. Black-Schaffer
; H. Ågren
; A.V. Balatsky
; | Date: |
17 Nov 2015 | Abstract: | We examine the low energy effective theory of phase oscillations in a
two-dimensional granular superconducting sheet where the grains are arranged in
honeycomb lattice structure. Two different types of collective phase
oscillations are obtained, which are analogous to the massive Leggett and
massless Bogoliubov-Anderson-Gorkov modes in a two-band superconductor. It is
shown that the spectra of these collective bosonic modes cross each other at
the K and K’ points in the Brillouin zone and form a Dirac node. Dirac node
dispersion of bosonic excitations is representative of Bosonic Dirac Materials
(BDM). We show that the Dirac node is preserved in presence of an inter-grain
interaction, despite induced changes of the qualitative features of the two
collective modes. Finally, breaking the sublattice symmetry by choosing
different on-site potentials for the two sublattices leads to a gap opening
near the Dirac node, in analogy with Fermionic Dirac materials. | Source: | arXiv, 1511.5282 | Services: | Forum | Review | PDF | Favorites |
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