Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-01-20
J. Phys. A: Math. Theor. 43 (2010) 345404
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 4 figures. Changed some of the terminology: non-separable -> infinite-sum. Clarified the relationship between our an
Scientific paper
10.1088/1751-8113/43/34/345404
We further consider a probe fermion in a dyonic black hole background in anti-de Sitter spacetime, at zero temperature, comparing and contrasting two distinct classes of solution that have previously appeared in the literature. Each class has members labeled by an integer n, corresponding to the n-th Landau level for the fermion. Our interest is the study of the spectral function of the fermion, interpreting poles in it as indicative of quasiparticles associated with the edge of a Fermi surface in the holographically dual strongly coupled theory in a background magnetic field H at finite chemical potential. Using both analytical and numerical methods, we explicitly show how one class of solutions naturally leads to an infinite family of quasiparticle peaks, signaling the presence of a Fermi surface for each level n. We present some of the properties of these peaks, which fall into a well behaved pattern at large n, extracting the scaling of Fermi energy with n and H, as well as the dispersion of the quasiparticles.
Albash Tameem
Johnson Clifford V.
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