Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four-dimensional topological lattices through connectivity   Thanks to recent advances, the 4D quantum Hall (QH) effect is becoming
experimentally accessible in various engineered set-ups. In this paper, we
propose a new type of 4D topological system that, unlike other 2D and 4D QH
models, does not require complicated (artificial) gauge fields and/or
time-reversal symmetry breaking. Instead, we show that there are 4D QH systems
that can be engineered for spinless particles by designing the lattice
connectivity with real-valued hopping amplitudes, and we explain how this
physics can be intuitively understood in analogy with the 2D Haldane model. We
illustrate our discussion with a specific 4D lattice proposal, inspired by the
widely-studied 2D honeycomb and brickwall lattice geometries. This also
provides a minimal model for a topological system in Class AI, which supports
nontrivial topological band invariants only in four spatial dimensions or
higher.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph