Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlling many-body states by the electric-field effect in a
  two-dimensional material   To understand complex physics of a system with strong electron electron
interactions, it is ideal to control and monitor its properties while tuning an
external electric field applied to the system. Indeed, complete electric field
control of many body states in strongly correlated electron systems is
fundamental to the next generation of condensed matter research and devices.
However, the material must be thin enough to avoid shielding of the electric
field in bulk material. Two-dimensional materials do not experience electrical
screening, and their charge carrier density can be controlled by gating. 1T
TiSe2 is a prototypical 2D material that shows charge density wave(CDW) and
superconductivity in its phase diagram, presenting several similarities with
other layered systems such as copper oxides, iron pnictides, crystals of
rare-earth and actinide atoms. By studying 1T TiSe2 single crystals with
thicknesses of 10 nm or less, encapsulated in 2D layers of hexagonal boron
nitride, we achieve unprecedented control over the CDW transition temperature,
tuned from 170 K to 40 K, and over the superconductivity transition
temperature, tuned from a quantum critical point at 0 K up to 3 K. Electrically
driving TiSe2 over different ordered electronic phases allows us to study the
details of the phase transitions between many-body states. Observations of
periodic oscillations of magnetoresistance induced by the Little Parks effect
show that the appearance of superconductivity is directly correlated to the
spatial texturing of the amplitude and phase of the superconductivity order
parameter, corresponding to a 2D matrix of superconductivity. We infer that
this superconductivity matrix is supported by a matrix of incommensurate CDW
states embedded in the commensurate CDW states. Our results show that spatially
modulated electronic states are fundamental to the appearance of 2D
superconductivity.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph