Physical Review Letters,
Journal Year:
2024,
Volume and Issue:
133(14)
Published: Oct. 1, 2024
The
unusual
structure
and
symmetry
of
low-energy
states
in
twisted
transition
metal
dichalcogenides
leads
to
large
in-plane
spin-exchange
interactions
between
spin-valley
locked
holes.
We
demonstrate
that
this
exchange
interaction
can
stabilize
a
gapped
spin-liquid
phase
with
quantized
spin-Chern
number
3
when
the
twist
angle
is
sufficiently
small
system
lies
Mott
insulating
phase.
spin
liquid
may
be
understood
as
arising
from
spinon
pairing
DIII
Altland-Zirnbauer
class.
Applying
an
out-of-plane
electric
field
or
increasing
shown
drive
transition,
respectively,
anomalous
Hall
insulator
antiferromagnet.
Recent
experiments
indicate
occurs
MoTe_{2}
at
angles
quantum
increased
above
critical
value
about
2.5°
absence
applied
field.
Nature Communications,
Journal Year:
2024,
Volume and Issue:
15(1)
Published: May 18, 2024
Abstract
Motivated
by
recent
experimental
observations
of
opposite
Chern
numbers
in
R-type
twisted
MoTe
2
and
WSe
homobilayers,
we
perform
large-scale
density-functional-theory
calculations
with
machine
learning
force
fields
to
investigate
moiré
band
topology
across
a
range
twist
angles
both
materials.
We
find
that
the
frontier
bands
change
sign
as
function
angle,
this
is
driven
competition
between
ferroelectricity
piezoelectricity.
Our
calculations,
enabled
methods,
reveal
crucial
insights
into
interactions
different
scales
bilayer
systems.
The
interplay
atomic-level
relaxation
effects
moiré-scale
electrostatic
potential
variation
opens
new
avenues
for
design
intertwined
topological
correlated
states,
including
possibility
mimicking
higher
Landau
level
physics
absence
magnetic
field.
Physical Review Letters,
Journal Year:
2025,
Volume and Issue:
134(6)
Published: Feb. 10, 2025
We
investigate
the
moir\'e
band
structures
and
a
possible
even-denominator
fractional
quantum
Hall
state
in
small
angle
twisted
bilayer
${\mathrm{MoTe}}_{2}$,
using
combined
large-scale
local
basis
density
functional
theory
calculation
continuum
model
exact
diagonalization.
Via
first-principles
calculations
at
$\ensuremath{\theta}=1.89\ifmmode^\circ\else\textdegree\fi{}$,
we
find
sequence
of
$C=1$
(Chern
number
K
valley)
Chern
bands
analogy
to
Landau
levels.
By
constructing
with
multiple
bands,
undertake
band-projected
diagonalization
an
unscreened
Coulomb
repulsion
identify
non-Abelian
states
near
twist
$\ensuremath{\theta}=1.89\ifmmode^\circ\else\textdegree\fi{}$
half
filling
second
band.
Physical Review Letters,
Journal Year:
2025,
Volume and Issue:
134(7)
Published: Feb. 20, 2025
Recent
experimental
discovery
of
fractional
Chern
insulators
at
zero
magnetic
field
in
moiré
superlattices
has
sparked
intense
interests
bringing
Landau
level
physics
to
flat
bands.
In
twisted
MoTe_{2}
bilayers
(tMoTe_{2}),
recent
theoretical
and
studies
have
found
three
consecutive
bands
twist
angle
∼2°.
this
Letter,
we
investigate
whether
higher
can
be
these
At
angles
2.00°
1.89°,
identify
four
C=1
for
the
K
valley
tMoTe_{2}.
By
constructing
Wannier
functions
directly
from
density
functional
theory
(DFT)
calculations,
a
six-orbital
model
is
developed
describe
bands,
with
orbitals
forming
honeycomb
lattice.
Exact
diagonalization
on
top
Hartree-Fock
calculations
are
carried
out
functions.
Especially,
when
second
miniband
half-filled,
signatures
non-Abelian
states
found.
Our
Wannier-based
approach
modeling
faithful
DFT
wave
serve
as
benchmarks
continuum
models.
The
possibility
realizing
anyons
also
opens
up
new
pathway
fault-tolerant
quantum
information
processing.
Nature Communications,
Journal Year:
2025,
Volume and Issue:
16(1)
Published: March 3, 2025
A
recent
experiment
has
observed
a
series
of
quantum-spin-Hall
effects
in
moiré
MoTe2.
Among
them,
the
vanishing
Hall
signal
at
filling
factor
ν
=
3
implies
possible
realization
time-reversal
pair
even-denominator
fractional
Chern
insulators.
Inspired
by
this
discovery,
we
numerically
investigate
whether
robust
incompressible
quantum-Hall
liquid
can
be
stabilized
half-filled
band
twisted
MoTe2
bilayers.
We
use
continuum
model
with
parameters
relevant
to
bilayers
and
obtain
three
consecutive
nearly
flat
bands
same
number.
Crucially,
when
second
miniband
is
half-filled,
signatures
non-Abelian
state
are
found
via
exact
diagonalization
calculations,
including
stable
six-fold
ground-state
degeneracy
that
grows
more
lattice
size
consistent
an
insulator
state.
Our
results
potential
realizing
zero
magnetic
field
bilayer
hole
3/2.
Recent
experiments
suggest
possibility
insulators
transition
metal
dichalcogenides.
Here,
authors
present
numerics
revealing
magnetic-field
may
realized
specific
parameter
range.
The
authors
report
here
the
discovery
of
a
realistic
platform
for
emerging
non-Abelian
fractional
quantum
anomalous
Hall
states.
This
is
second
moir\'e
band
in
2-degree
twisted
bilayer
MoTe${}_{2}$.
They
elucidate
theoretical
foundation
behind
this
by
demonstrating
resemblance
to
first
Landau
level,
using
Haldane
pseudopotentials
and
Fubini-Study
metric.
A
surprising
similarity
revealed
between
sequence
bands
MoTe${}_{2}$
levels
beyond
particular
band.
Physical Review Letters,
Journal Year:
2025,
Volume and Issue:
134(2)
Published: Jan. 17, 2025
Twistronics,
which
utilizes
the
moiré
potential
to
induce
exotic
excitations
in
twisted
material
systems,
has
garnered
significant
attention
recent
years.
In
this
Letter,
using
Bethe-Salpeter
calculations
based
on
a
continuum
model
of
electronic
structures,
we
explore
optical
characteristics
intralayer
excitons
bilayer
transition
metal
dichalcogenide
heterostructures.
We
find
Coulomb
exchange
interactions
strongly
influence
these
and
degree
valley
polarization
that
splitting
between
spin-singlet
spin-triplet
can
be
effectively
controlled
by
varying
twist
angle.
Specifically,
bright
confined
WSe_{2}/WS_{2}
heterostructure
achieve
levels
as
high
90%
at
small
angles,
holds
promise
for
future
applications
valleytronics.
These
findings
underscore
angle
novel
parameter
manipulating
properties
excitons,
thereby
establishing
semiconductors
promising
platform
investigating
many-body
physics
solid-state
systems.
Physical Review Research,
Journal Year:
2025,
Volume and Issue:
7(2)
Published: April 24, 2025
Motivated
by
a
recent
experiment
reporting
the
fractional
quantum
spin
Hall
effect
in
twisted
MoTe2,
we
investigate
microscopically
prospects
of
realizing
exotic
topologically
ordered
states
beyond
conventional
physics.
We
show
that
insulator,
state
two
copies
non-Abelian
Moore-Read
state,
can
be
stabilized
at
half
filling
time-reversal
conjugate
Chern
bands.
elucidate
existence
this
phase
relies
on
reduction
opposite-spin
interactions
short
distances
to
overcome
Ising
ferromagnetism.
Moreover,
demonstrate
band
mixing
provides
generic
mechanism
for
achieved.
Quite
remarkably,
find
renormalization
as
small
15%
moiré
period
is
sufficient
transition
completely
spin-unpolarized
which
supports
insulator.
Furthermore,
insulator
either
break
symmetry
or
preserve
it
depending
underlying
topological
order.
Published
American
Physical
Society
2025