Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trace Index and Spectral Flow in the Entanglement Spectrum   We investigate the entanglement spectra of topological insulators which
manifest edge states on a lattice with spatial boundaries. In the physical
energy spectrum, a subset of the edge states that intersect the Fermi level
translates to discontinuities in the trace of the single-particle entanglement
spectrum, which we call a `trace index'. We find that any free-fermion
topological insulator that exhibits spectral flow has a non-vanishing trace
index, which provides us with a new description of topological invariants. In
addition, we identify the signatures of spectral flow in the single-particle
and many-body entanglement spectrum; in the process we present new methods to
extract topological invariants and establish a connection between entanglement
and quantum Hall physics.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th