Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum phase with coexisting localized, extended, and critical zones   Conventionally a mobility edge (ME) marks the critical energy that separates
two different transport zones where all states are extended and localized,
respectively. Here we propose a novel quasiperiodic lattice model with
experimental feasibility to realize a fundamentally new quantum phase with
three coexisting energy-dependent zones, i.e., the extended, critical and
localized zones. Accordingly, this phase exhibits new types of MEs which
separate the extended states from critical ones, and the localized states from
critical ones, respectively. We introduce the diagnostic quantities to
characterize and distinguish the different zones, and show that the predicted
phase can be detected by measuring the fractal dimension and a scaling index
obtained from the momentum distribution. The experimental realization is also
proposed and studied. This work extends the concept of ME and enriches the
quantum phases in disordered systems,which sheds light on searching for new
localization and critical phenomena with novel transport and thermoelectric
effects.

21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin