Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Lapierre, Bastien"'
We demonstrate that the plasma analogy is generally unreliable at predicting the edge properties of quantum Hall (QH) states, as it fails to account for the local edge velocity. This discrepancy arises from a fundamental difference between QH droplet
Externí odkaz:
http://arxiv.org/abs/2407.19013
The topology of an insulator can be defined even when all eigenstates of the system are localized - an extreme case of Anderson insulators that we call ultra-localized. We derive the classification of such ultra-localized insulators in all symmetry c
Externí odkaz:
http://arxiv.org/abs/2407.07957
We study universal chaotic dynamics of a large class of periodically driven critical systems described by spatially inhomogeneous conformal field theories. By employing an effective curved spacetime approach, we show that the onset of quantum chaotic
Externí odkaz:
http://arxiv.org/abs/2405.01642
Publikováno v:
Phys. Rev. X 14 (2024) no.1, 011030
We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian energy eigens
Externí odkaz:
http://arxiv.org/abs/2301.01726
Publikováno v:
SciPost Phys. Core 6, 059 (2023)
In 2D semiconductors and insulators, the Chern number of the valence band Bloch state is an important quantity that has been linked to various material properties, such as the topological order. We elaborate that the opacity of 2D materials to circul
Externí odkaz:
http://arxiv.org/abs/2207.00016
Publikováno v:
SciPost Phys. 14, 108 (2023)
We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius
Externí odkaz:
http://arxiv.org/abs/2206.11287
Autor:
Choo, Kenny, Lapierre, Bastien, Kuhlenkamp, Clemens, Tiwari, Apoorv, Neupert, Titus, Chitra, Ramasubramanian
Publikováno v:
SciPost Phys. 13, 104 (2022)
We study the dissipative dynamics of a periodically driven inhomogeneous critical lattice model in one dimension. The closed system dynamics starting from pure initial states is well-described by a driven Conformal Field Theory (CFT), which predicts
Externí odkaz:
http://arxiv.org/abs/2205.02869
We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs only when the
Externí odkaz:
http://arxiv.org/abs/2110.14651
Publikováno v:
Phys. Rev. Research 3, 033045 (2021)
We study the generalization of the three-dimensional two-band Hopf insulator to the case of many bands, where all the bands are separated from each other by band gaps. The obtained $\mathbb{Z}$ classification of such a $N$-band Hopf insulator is rela
Externí odkaz:
http://arxiv.org/abs/2102.06210
Autor:
Lapierre, Bastien, Moosavi, Per
Publikováno v:
Phys. Rev. B 103, 224303 (2021)
We present a new geometric approach to Floquet many-body systems described by inhomogeneous conformal field theory in 1+1 dimensions. It is based on an exact correspondence with dynamical systems on the circle that we establish and use to prove exist
Externí odkaz:
http://arxiv.org/abs/2010.11268