Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces
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TLDR
In this article, the authors propose a dynamics-based characterization of one large class of Z-type HOTPs without specifically relying on any crystalline symmetry considerations, and connect quantum quench dynamics with nested configurations of the so-called band inversion surfaces (BISs) of momentum-space Hamiltonians as a sum of operators from the Clifford algebra.Abstract:
Higher-order topological phases (HOTPs) are systems with topologically protected in-gap boundary states localized at their ( d - n ) -dimensional boundaries, with d the system dimension and n the order of the topology. This work proposes a dynamics-based characterization of one large class of Z-type HOTPs without specifically relying on any crystalline symmetry considerations. The key element of our innovative approach is to connect quantum quench dynamics with nested configurations of the so-called band inversion surfaces (BISs) of momentum-space Hamiltonians as a sum of operators from the Clifford algebra (a condition that can be partially relaxed), thereby making it possible to dynamically detect each and every order of topology on an equal footing. Given that experiments on synthetic topological matter can directly measure the winding of certain pseudospin texture to determine topological features of BISs, the topological invariants defined through nested BISs are all within reach of ongoing experiments. Further, the necessity of having nested BISs in defining higher-order topology offers a unique perspective to investigate and engineer higher-order topological phase transitions.read more
Citations
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Simulation of higher-order topological phases and related topological phase Transitions in a Superconducting Qubit
Jingjing Niu,Tongxing Yan,Tongxing Yan,Yuxuan Zhou,Ziyu Tao,Xiaole Li,Weiyang Liu,Libo Zhang,Hao Jia,Liu Song,Zhongbo Yan,Yuanzhen Chen,Dapeng Yu +12 more
TL;DR: In this article, a simulation of a two-dimensional second-order topological phase in a superconducting qubit was carried out, where the pseudo-spin texture was measured in momentum space of the bulk for the first time.
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Topological holographic quench dynamics in a synthetic frequency dimension.
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Hybrid skin-topological modes without asymmetric couplings
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TL;DR: In this article , the authors proposed a generic approach to hybrid skin-topological modes with gain and loss, where the anomalous Floquet band topology is no longer captured by band Chern numbers.
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Hybrid skin-topological modes without asymmetric couplings
TL;DR: In this article , the second-order non-Hermitian skin effect without asymmetric couplings is studied, where the bulk does not support a point gap but localization at the corner still occurs, and a generic route to hybrid skin-topological modes is further successfully extended to nonequilibrium topological systems with gain and loss.
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Universal topological quench dynamics for Z2 topological phases.
Li Zhang,Wei Jia,Xiong-Jun Liu +2 more
TL;DR: In this paper , the universal topological quench dynamics linking to these equilibrium topological phases of different dimensionality and symmetry classes was uncovered in a tenfold way, with a general framework being established, and a generic d-dimensional topological phase represented by Dirac type Hamiltonian and with Z2 invariant defined on high symmetry momenta can be characterized by topology reduced to certain arbitrary discrete momenta of Brillouin zone called the highest-order bandinversion surfaces.
References
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Journal ArticleDOI
Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
Journal ArticleDOI
Topological insulators and superconductors
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
Journal ArticleDOI
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
TL;DR: In this article, the quantum spin Hall (QSH) effect can be realized in mercury-cadmium telluride semiconductor quantum wells, a state of matter with topological properties distinct from those of conventional insulators.
Journal ArticleDOI
Solitons in polyacetylene
TL;DR: In this paper, the authors present a theoretical study of soliton formation in long-chain polyenes, including the energy of formation, length, mass, and activation energy for motion.
Journal ArticleDOI
Topological insulators with inversion symmetry
Liang Fu,Charles L. Kane +1 more
TL;DR: In this paper, it was shown that the parity of the occupied Bloch wave functions at the time-reversal invariant points in the Brillouin zone greatly simplifies the problem of evaluating the topological invariants.
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