Quantum
geometry
characterizes
the
geometric
properties
of
Bloch
electrons
in
wave
space,
represented
by
quantum
metric
and
Berry
curvature.
Recent
studies
have
revealed
that
plays
a
major
role
various
physical
phenomena,
from
multipole
to
non-Hermitian
physics.
For
superconductors,
is
clarified
appear
superfluid
weight,
an
essential
quantity
superconductivity.
Although
weight
was
considered
be
determined
Fermi-liquid
contribution
for
long
time,
not
negligible
some
superconductors
such
as
artificial
flat-band
systems
monolayer
FeSe.
While
many
superconducting
phenomena
related
center
mass
momenta
Cooper
pairs
(CMMCP),
full
scope
effect
on
superconductivity
remains
unresolved.
In
this
paper,
we
study
Fulde-Ferrell-Larkin-Ovchinnikov
(FFLO)
state
acquiring
finite
CMMCP
equilibrium.
As
benchmark,
phase
diagrams
effective
models
FeSe
in-plane
magnetic
field
are
calculated.
case
isotropic
$s$-wave
pairing,
stabilizes
BCS
state,
metastable
appears
high-magnetic-field
region.
addition,
induces
transition
FFLO
with
increasing
temperature.
However,
intersublattice
gives
negative
weight;
can
induce
particular
parameter
sets.
Applied Physics Reviews,
Journal Year:
2022,
Volume and Issue:
9(1)
Published: Feb. 25, 2022
The
emergent
field
of
cavity
quantum
materials
bridges
collective
many-body
phenomena
in
solid
state
platforms
with
strong
light–matter
coupling
electrodynamics.
This
brief
review
provides
an
overview
the
art
and
highlights
recent
theoretical
proposals
first
experimental
demonstrations
control
materials.
encompasses
between
electrons
modes,
superconductivity,
phononics
ferroelectricity,
correlated
systems
a
cavity,
light–magnon
coupling,
topology
Hall
effect,
as
well
super-radiance.
An
outlook
potential
future
developments
is
given.
Reviews of Modern Physics,
Journal Year:
2024,
Volume and Issue:
96(1)
Published: Feb. 27, 2024
Time-resolved
angle-resolved
photoemission
spectroscopy
provides
access
to
light-induced
changes
in
the
electronic
band
structure
and
interactions
of
solids,
out-of-equilibrium
electron
dynamics.
This
article
reviews
history
future
prospects
for
development
technique,
offers
an
overview
recent
achievements
studying
unoccupied
light-driven
states,
photoinduced
phase
transitions,
electron-phonon
scattering,
dynamics
quantum
materials,
including
topological
insulators,
unconventional
superconductors,
traditional
novel
semiconductors,
excitonic
spin-textured
systems.
Physical Review Research,
Journal Year:
2022,
Volume and Issue:
4(1)
Published: Feb. 28, 2022
Moir\'e
materials,
and
in
particular
twisted
bilayer
graphene
(TBG),
exhibit
a
range
of
fascinating
phenomena
that
emerge
from
the
interplay
band
topology
interactions.
We
show
nonlinear
second-order
photoresponse
is
an
appealing
probe
this
rich
interplay.
A
dominant
part
shift
current,
which
determined
by
geometry
electronic
wave
functions
carrier
properties
thus
becomes
strongly
modified
electron-electron
analyze
its
dependence
on
twist
angle
doping
investigate
role
In
absence
interactions,
response
system
dictated
two
energy
scales:
(i)
mean
direct
transitions
between
hole
electron
flat
bands
(ii)
gap
dispersive
bands.
Including
interactions
both
enhances
at
noninteracting
characteristic
frequencies
produces
new
resonances.
attribute
these
changes
to
filling-dependent
renormalization
TBG.
Our
results
highlight
connection
nontrivial
geometric
TBG
optical
response,
as
well
demonstrate
how
probes
can
access
moir\'e
materials.
Physical Review Letters,
Journal Year:
2024,
Volume and Issue:
132(16)
Published: April 18, 2024
Twisted
bilayer
graphene
(TBG)
is
a
recently
discovered
two-dimensional
superlattice
structure
which
exhibits
strongly
correlated
quantum
many-body
physics,
including
strange
metallic
behavior
and
unconventional
superconductivity.
Most
of
TBG
exotic
properties
are
connected
to
the
emergence
pair
isolated
topological
flat
electronic
bands
at
so-called
magic
angle,
θ≈1.05°,
nevertheless
very
fragile.
In
this
work,
we
show
that,
by
employing
chiral
optical
cavities,
can
be
stabilized
away
from
angle
in
an
interval
approximately
0.8°<θ<1.3°.
As
highlighted
simplified
theoretical
model,
time
reversal
symmetry
breaking
(TRSB),
induced
nature
cavity,
plays
fundamental
role
flattening
gapping
out
rest
spectrum.
Additionally,
TRSB
suppresses
Berry
curvature
induces
phase
transition,
with
gap
closing
Γ
point,
towards
band
two
Chern
number
equal
0.
The
efficiency
cavity
discussed
as
function
twisting
light-matter
coupling
characteristic
frequency.
Our
results
demonstrate
possibility
engineering
using
devices,
extending
onset
phases
moiré
superlattices
wider
range
angle.
SciPost Physics,
Journal Year:
2022,
Volume and Issue:
12(1)
Published: Jan. 12, 2022
Quantum
geometry
has
emerged
as
a
central
and
ubiquitous
concept
in
quantum
sciences,
with
direct
consequences
on
metrology
many-body
physics.
In
this
context,
two
fundamental
geometric
quantities
are
known
to
play
complementary
roles:~the
Fubini-Study
metric,
which
introduces
notion
of
distance
between
states
defined
over
parameter
space,
the
Berry
curvature
associated
Berry-phase
effects
topological
band
structures.
fact,
recent
studies
have
revealed
relations
these
important
quantities,
suggesting
that
properties
can,
special
cases,
be
deduced
from
metric.
work,
we
establish
general
exact
metric
invariants
generic
Dirac
Hamiltonians.
particular,
demonstrate
indices
(Chern
numbers
or
winding
numbers)
bounded
by
volume
determined
Our
theoretical
framework,
builds
Clifford
algebra
matrices,
is
applicable
insulators
semimetals
arbitrary
spatial
dimensions,
without
chiral
symmetry.
This
work
clarifies
role
matter,
unexplored
responses
metrological
applications
broad
class
quantum-engineered
systems.
Advanced Materials,
Journal Year:
2023,
Volume and Issue:
35(41)
Published: July 27, 2023
Flat
bands
(FBs)
can
appear
in
two-dimensional
(2D)
geometrically
frustrated
systems
caused
by
quantum
destructive
interference
(QDI).
However,
the
scarcity
of
pure
2D
crystal
structures
natural
materials
makes
FBs
hard
to
be
identified,
let
alone
modulate
relating
electronic
properties.
Here,
experimental
evidence
complete
QDI
induced
FB
contributed
breathing-kagome
layers
Nb
atoms
Nb3
TeCl7
(NTC)
is
reported.
An
identical
chemical
state
and
localization
characteristics
are
experimentally
confirmed,
based
on
which
NTC
demonstrated
a
superior
concrete
candidate
for
tight-binding
model.
Furthermore,
it
theoretically
establishes
tunable
roles
on-site
energy
over
sites
bandwidth,
position,
topology
NTC.
This
work
opens
an
aveanue
manipulate
these
4d
transition-metal-based
materials.
The
importance
of
the
quantum
metric
in
flat-band
systems
has
been
noticed
recently
many
contexts
such
as
superfluid
stiffness,
dc
electrical
conductivity,
and
ideal
Chern
insulators.
Both
degenerate
nondegenerate
bands
can
be
naturally
described
via
geometry
different
Grassmannian
manifolds,
specific
to
band
degeneracies.
Contrary
(Abelian)
Berry
curvature,
a
resulting
from
collapse
collection
is
not
simply
sum
individual
metrics.
We
provide
physical
interpretation
this
phenomenon
terms
transition
dipole
matrix
elements
between
two
bands.
By
considering
toy
model,
we
show
that
gets
enhanced,
reduced,
or
remains
unaffected
depending
on
which
collapse.
longitudinal
conductivity
stiffness
are
known
proportional
for
systems,
makes
them
suitable
candidates
observation
phenomenon.
Recent
experiments
have
revealed
the
tantalizing
possibility
of
fabricating
lattice
electronic
systems
strongly
coupled
to
quantum
fluctuations
electromagnetic
fields,
e.g.,
by
means
geometry
confinement
from
a
cavity
or
artificial
gauge
fields
in
simulators.
In
this
work,
we
develop
high-frequency
expansion
construct
effective
models
for
electrons
continuum
off-resonant
photon
modes
with
arbitrary
dispersion.
The
theory
is
nonperturbative
light-matter
coupling
strength,
and
therefore
particularly
suitable
ultrastrong
regime.
Using
models,
demonstrate
how
dispersion
topology
energy
bands
can
be
tuned
cavity.
particular,
quasi-one-dimensional
physics
emerge
two-dimensional
square
due
spatially
anisotropic
band
renormalization,
topologically
nontrivial
anomalous
Hall
state
induced
honeycomb
when
setup
breaks
time-reversal
symmetry.
We
also
that
photon-mediated
interaction
induces
an
unconventional
superconducting
paired
phase
distinct
pair-density-wave
discussed
truncated
coupling.
Finally,
study
realistic
Fabry-P\'{e}rot
Our
work
provides
systematic
framework
explore
emergent
phenomena
strong
points
out
new
directions
engineering
orders
topological
states
solids.