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pro vyhledávání: '"topological invariant"'
We propose a medium transformation approach to formulate the adjoint system of space-time modulated photonic crystals (STMPCs), essential for the bi-orthogonal Berry connection when calculating the topological invariant. We show that the non-Abelian
Externí odkaz:
http://arxiv.org/abs/2412.20636
We investigate the effects of temperature on the higher-order topological insulators (HOTIs). The finite-temperature topological invariants for the HOTIs can be constructed by generalizing the Resta's polarization for the ground state to the ensemble
Externí odkaz:
http://arxiv.org/abs/2407.19629
Autor:
Palmerduca, Eric, Qin, Hong
There is an elementary but indispensable relationship between the topology and geometry of massive particles. The geometric spin $s$ is related to the topological dimension of the internal space $V$ by $\dim V = 2s + 1$. This breaks down for massless
Externí odkaz:
http://arxiv.org/abs/2407.03494
Quench dynamics of topological phases have been studied in the past few years and dynamical topological invariants are formulated in different ways. Yet most of these invariants are limited to minimal systems in which Hamiltonians are expanded by Gam
Externí odkaz:
http://arxiv.org/abs/2406.09797
Autor:
Fan, Annan, Liang, Shi-Dong
Publikováno v:
Ann. Phys. (Berlin) 2022, 2100443
We introduce the velocity field of the Bloch electrons and propose the velocity field approach to characterize the topological invariants of quantum states. We find that the zero modes of the velocity field flow play the roles of effective topologica
Externí odkaz:
http://arxiv.org/abs/2406.10230
Autor:
Fan, Annan, Liang, Shi-Dong
Publikováno v:
Results in Physics 31 (2021) 104912
We propose the velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of effecti
Externí odkaz:
http://arxiv.org/abs/2403.08232
When subjected to quasiperiodic driving protocols, superconducting systems have been found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond static and Floquet systems. However, the presence of incommensurate driving fr
Externí odkaz:
http://arxiv.org/abs/2404.13129
Higher-order topological insulators in two spatial dimensions display fractional corner charges. While fractional charges in one dimension are known to be captured by a many-body bulk invariant, computed by the Resta formula, a many-body bulk invaria
Externí odkaz:
http://arxiv.org/abs/2401.00050
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Topological design enables robustness to be engineered into a system. However, a general challenge remains to experimentally characterize topological properties. In this work, we demonstrate a technique for directly observing a winding-number invaria
Externí odkaz:
http://arxiv.org/abs/2305.03630