80 research outputs found
Floquet Fractional Chern Insulator in Doped Graphene
Fractional Chern insulators are theoretically predicted states of electronic
matter with emergent topological order. They exhibit the same universal
properties as the fractional quantum Hall effect, but dispose of the need to
apply a strong magnetic field. However, despite intense theoretical work, an
experimental realization for these exotic states of matter is still lacking.
Here we show that doped graphene turns into a fractional Chern insulator, when
irradiated with high-intensity circularly polarized light. We derive the
effective steady state band structure of light-driven graphene using Floquet
theory and subsequently study the interacting system with exact numerical
diagonalization. The fractional Chern insulator state equivalent to the 1/3
Laughlin state appears at 7/12 total filling of the honeycomb lattice (1/6
filling of the upper band). The state also features spontaneous ferromagnetism
and is thus an example of the spontaneous breaking of a continuous symmetry
along with a topological phase transition.Comment: 10 page
Tunable Casimir repulsion with three dimensional topological insulators
In this Letter, we show that switching between repulsive and attractive
Casimir forces by means of external tunable parameters could be realized with
two topological insulator plates. We find two regimes where a repulsive
(attractive) force is found at small (large) distances between the plates,
canceling out at a critical distance. For a frequency range where the effective
electromagnetic action is valid, this distance appears at length scales
corresponding to .Comment: 9 pages, 5 figures, published version with auxiliary material.
Featured in Physical Review Focu
Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
In this work, we describe a toolbox to realize and probe synthetic axial
gauge fields in engineered Weyl semimetals. These synthetic electromagnetic
fields, which are sensitive to the chirality associated with Weyl nodes, emerge
due to spatially and temporally dependent shifts of the corresponding Weyl
momenta. First, we introduce two realistic models, inspired by recent cold-atom
developments, which are particularly suitable for the exploration of these
synthetic axial gauge fields. Second, we describe how to realize and measure
the effects of such axial fields through center-of-mass observables, based on
semiclassical equations of motion and exact numerical simulations. In
particular, we suggest realistic protocols to reveal an axial Hall response due
to the axial electric field , and also, the axial cyclotron
orbits and chiral pseudo-magnetic effect due to the axial magnetic field
.Comment: 16 pages, 6 figures, published versio
Fermionic dualities with axial gauge fields
The dualities that map hard-to-solve, interacting theories to free,
non-interacting ones often trigger a deeper understanding of the systems to
which they apply. However, simplifying assumptions such as Lorentz invariance,
low dimensionality, or the absence of axial gauge fields, limit their
application to a broad class of systems, including topological semimetals. Here
we derive several axial field theory dualities in 2+1 and 3+1 dimensions by
developing an axial slave-rotor approach capable of accounting for the axial
anomaly. Our 2+1-dimensional duality suggests the existence of a dual, critical
surface theory for strained three-dimensional non-symmorphic topological
insulators. Our 3+1-dimensional duality maps free Dirac fermions to Dirac
fermions coupled to emergent U(1) and Kalb-Ramond vector and axial gauge
fields. Upon fixing an axial field configuration that breaks Lorentz
invariance, this duality maps free to interacting Weyl semimetals, thereby
suggesting that the quantization of the non-linear circular photogalvanic
effect can be robust to certain interactions. Our work emphasizes how axial and
Lorentz-breaking dualities improve our understanding of topological matter.Comment: 11+3 pages, 3 figures, minor changes, accepted in Phys. Rev.
Topological diffusive metal in amorphous transition metal mono-silicides
In chiral crystals crystalline symmetries can protect multifold fermions,
pseudo-relativistic masless quasiparticles that have no high-energy
counterparts. Their realization in transition metal mono-silicides has
exemplified their intriguing physical properties, such as long Fermi arc
surface states and unusual optical responses. Recent experimental studies on
amorphous transition metal mono-silicides suggest that topological properties
may survive beyond crystals, even though theoretical evidence is lacking.
Motivated by these findings, we theoretically study a tight-binding model of
amorphous transition metal mono-silicides. We find that topological properties
of multifold fermions survive in the presence of structural disorder that
converts the semimetal into a diffusive metal. We characterize this topological
diffusive metal phase with the spectral localizer, a real-space topological
indicator that we show can signal multifold fermions. Our findings showcase how
topological properties can survive in disordered metals, and how they can be
uncovered using the spectral localizer.Comment: 7 + 9 pages; 4 + 9 figure
Wavepacket dynamics on Chern band lattices in a trap
The experimental realization of lattices with Chern bands in ultracold-atom
and photonic systems has motivated the study of time-dependent phenomena, such
as spatial propagation, in lattices with nontrivial topology. We study the
dynamics of gaussian wavepackets on the Haldane honeycomb Chern-band lattice
model, in the presence of a harmonic trap. We focus on the transverse response
to a force, which is due partly to the Berry curvature and partly to the
transverse component of the energy band curvature. We evaluate the accuracy of
a semiclassical description, which treats the wavepacket as a point particle in
both real and momentum space, in reproducing the motion of a realistic
wavepacket with finite extent. We find that, in order to accurately capture the
wavepacket dynamics, the extent of the wavepacket in momentum space needs to be
taken into account. The dynamics is sensitive to the interplay of band
dispersion and Berry curvature over the finite region of momentum (reciprocal)
space where the wavepacket has support. Moreover, if the wavepacket is prepared
with a finite initial momentum, the semiclassical analysis reproduces its
motion as long as it has a large overlap with the eigenstates of a single band.
The semiclassical description generally improves with increasing real-space
size of the wavepacket, as long as the external conditions (e.g., external
force) remain uniform throughout the spatial extent of the wavepacket.Comment: 11 pages, 8 figures, typos corrected, version published in Phys. Rev.
Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
The emergence of the Haldane Chern insulator state due to strong short range
repulsive interactions in the half-filled fermionic spinless honeycomb lattice
model has been proposed and challenged with different methods and yet it still
remains controversial. In this work we revisit the problem using the infinite
density matrix renormalization group method and report numerical evidence
supporting i) the absence of the Chern insulator state, ii) two previously
unnoticed charge ordered phases and iii) the existence and stability of all the
non-topological competing orders that were found previously within mean field.
In addition, we discuss the nature of the corresponding phase transitions based
on our numerical data. Our work establishes the phase diagram of the
half-filled honeycomb lattice model tilting the balance towards the absence of
a Chern insulator phase for this model.Comment: 12 pages, 8 figures, published versio
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