Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Landau Lattice   The concept of topological fermions, including Weyl and Dirac fermions, stems
from the quantum Hall state induced by a magnetic field, but the definitions
and classifications of topological fermions are formulated without using
magnetic field. It is unclear whether and how the topological information of
topological fermions can be probed once their eigen spectrum is completely
rebuilt by a strong magnetic field. In this work, we provide an answer via
mapping Landau levels (bands) of topological fermions in $d$ dimensions to the
spectrum of a $(d-1)$-dimensional lattice model. The resultant "Landau lattice"
may correspond to a topological insulator, and its topological property can be
determined by real-space topological invariants. Accordingly, each zero-energy
Landau level (band) inherits the topological stability from the corresponding
topological boundary state of the Landau lattice. The theory is demonstrated in
detail by transforming 2D Dirac fermions under magnetic fields to the
Su-Schrieffer-Heeger models in class AIII, and 3D Weyl fermions to the Chern
insulators in class A.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin