Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic Susceptibility of Dirac Fermions, Bi-Sb Alloys, Interacting
  Bloch Fermions, Dilute Nonmagnetic Alloys, and Kondo Alloys   Wide ranging interest in Dirac Hamiltomian is due to the emergence of novel
materials, namely, graphene, topological insulators and superconductors, the
newly-discovered Weyl semimetals, and still actively-sought after Majorana
fermions in real materials. We give a brief review of the relativistic Dirac
quantum mechanics and its impact in the developments of modern physics. The
quantum band dynamics of Dirac Hamiltonian is crucial in resolving the giant
diamagnetism of bismuth and Bi-Sb alloys. Quantitative agreement of the theory
with the experiments on Bi-Sb alloys has been achieved, and physically
meaningful contributions to the diamagnetism has been identified. We also treat
relativistic Dirac fermion as an interband dynamics in uniform magnetic fields.
For the interacting Bloch electrons, the role of translation symmetry for
calculating the magnetic susceptibility avoids any approximation to second
order in the field. The magnetic susceptibility of Hubbard model and those of
Fermi liquids are readily obtained as limiting cases. The expressions for
magnetic susceptibility of dilute nonmagnetic alloys give a firm theoretical
foundation of the empirical formulas used in fitting experimental results. For
completeness, the magnetic susceptibility of dilute magnetic or Kondo alloys is
also given for high and low temperature regimes.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph