ACS Nano,
Journal Year:
2025,
Volume and Issue:
unknown
Published: May 19, 2025
The
search
for
anyons,
quasiparticles
with
fractional
charge
and
exotic
exchange
statistics,
has
inspired
the
research
of
condensed
matter
physics
decades.
Moiré
materials,
as
superlattice
systems
characterized
by
tunable
isolated
topological
flat
bands,
represent
a
vast
material
library,
ability
to
adjust
properties
via
various
tuning
knobs,
show
particular
suitability
investigating
anyons.
In
study
Hall
effects,
offer
distinctive
platform
achieve
effects
such
valley
effect,
nonlinear
quantum
anomalous
effect
(FQAHE).
Particularly,
over
nearly
four
decades
from
discovery
integer
in
1980
observation
FQAHE
2023,
on
materials
advanced
development
rapidly.
contributes
non-Abelian
quasiparticles,
which
holds
potential
applications
computing.
This
review
primarily
reviews
experimental
advances
brought
about
emergence
path
achieving
well
technological
transformations
driven
advancements
recent
device
fabrication
techniques.
Furthermore,
we
highlight
critical
challenges
provide
perspectives
future
research.
Physical Review X,
Journal Year:
2025,
Volume and Issue:
15(1)
Published: Feb. 27, 2025
The
advent
of
moiré
platforms
for
engineered
quantum
matter
has
led
to
discoveries
integer
and
fractional
anomalous
Hall
effects,
with
predictions
correlation-driven
topological
states
based
on
electron
crystallization.
Here,
we
report
an
array
trivial
insulators
formed
in
a
lattice
rhomobohedral
pentalayer
graphene
(R5G).
At
doping
one
per
unit
cell
(ν=1),
see
correlated
insulator
Chern
number
that
can
be
tuned
between
C=0+1
by
electric
displacement
field.
This
is
accompanied
series
additional
C=+1
originating
from
fillings
the
lattice—ν=1/4,
1/3,
2/3—associated
formation
moiré-driven
electronic
crystals.
ν=2/3
system
exhibits
effect
at
zero
magnetic
field,
but
further
develops
hints
incipient
C=2/3
modest
Our
results
establish
R5G
as
fertile
platform
studying
competition
potential
intertwining
insulators.
Published
American
Physical
Society
2025
We
demonstrate
that
(001)
grown
Cd3As2
thin
films
with
a
superlattice-patterned
gate
can
potentially
realize
the
moiré
Bernevig-Hughes-Zhang
model.
Our
calculations
identify
parametrization
region
necessary
to
achieve
topological
flat
minibands
C4z
symmetric
and
C6z
potential.
Additionally,
we
show
spin-polarized
state
serve
as
minimal
platform
for
hosting
moiré-induced
quantum
anomalous
Hall
effect,
supported
by
Hartree-Fock
interaction
kernel
analysis
self-consistent
mean-field
calculations.
locked
icon
Physics
Subject
Headings
(PhySH)Flat
bandsMagnetic
orderQuantum
effectSpin-orbit
couplingHartree-Fock
methodsMean
field
theory
Fractional
quantum
Hall
states
are
the
most
prominent
example
of
with
topological
order,
hosting
excitations
fractionalized
charge.
Recent
experiments
in
twisted
MoTe2
and
graphene-based
heterostructures
provided
evidence
fractional
anomalous
(FQAH)
states,
which
spontaneously
break
time-reversal
symmetry
persist
even
without
an
external
magnetic
field.
Understanding
unique
properties
these
requires
characterization
their
low-energy
excitations.
To
that
end,
we
construct
a
parton
theory
for
energy-
momentum-resolved
single-particle
spectral
function
FQAH
states.
We
explicitly
consider
several
experimentally
observed
filling
fractions
as
well
composite
Fermi
liquid
half-filled
Chern
band.
Charge
fractionalization
manifests
itself
nearly
momentum-independent
spectra
characteristic
series
peaks
determined
from
fraction.
The
description
qualitatively
captures
our
numerical
exact
diagonalization
results.
Additionally,
discuss
how
finite
bandwidth
band
nonideal
geometry
affect
Our
work
demonstrates
electronic
provides
valuable
tool
to
characterize
moiré
lattices.
Published
by
American
Physical
Society
2025
Proceedings of the National Academy of Sciences,
Journal Year:
2025,
Volume and Issue:
122(8)
Published: Feb. 18, 2025
Charge
distribution
offers
a
unique
fingerprint
of
important
properties
electronic
systems,
including
dielectric
response,
charge
ordering,
and
fractionalization.
We
develop
an
architecture
for
sensing
in
two-dimensional
systems
strong
magnetic
field.
probe
local
change
the
chemical
potential
proximitized
detector
layer
using
scanning
tunneling
microscopy,
allowing
us
to
infer
profile
sample.
Our
technique
has
both
high
energy
(<0.3
meV)
spatial
(<10
nm)
resolution
exceeding
that
previous
studies
by
order
magnitude.
apply
our
study
quantum
Hall
liquids
monolayer
graphene
under
fields
their
responses
impurities.
The
measurement
provides
thermodynamic
gap
ferromagnets
fractional
states.
screening
reveals
spatially
oscillatory
response
impurities
is
consistent
with
composite
Fermi
liquid
picture
close
half-filling.
also
paves
way
map
moiré
potentials,
Wigner
crystals,
investigate
charges
Chern
insulators.
