scholarly journals Fermionic tensor networks for higher-order topological insulators from charge pumping

2020 ◽  
Vol 101 (11) ◽  
Author(s):  
Anna Hackenbroich ◽  
B. Andrei Bernevig ◽  
Norbert Schuch ◽  
Nicolas Regnault
Keyword(s):  
Topological Insulators ◽  
Higher Order ◽  
Charge Pumping ◽  
Tensor Networks

scholarly journals Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors

2020 ◽  
Vol 124 (4) ◽  
Author(s):  
Apoorv Tiwari ◽  
Ming-Hao Li ◽  
B. A. Bernevig ◽  
Titus Neupert ◽  
S. A. Parameswaran
Keyword(s):  
Topological Insulators ◽  
Higher Order

scholarly journals Partial Lattice Defects in Higher-Order Topological Insulators

2019 ◽  
Vol 123 (26) ◽  
Author(s):  
Raquel Queiroz ◽  
Ion Cosma Fulga ◽  
Nurit Avraham ◽  
Haim Beidenkopf ◽  
Jennifer Cano
Keyword(s):  
Topological Insulators ◽  
Higher Order ◽  
Lattice Defects ◽  
Partial Lattice

scholarly journals Higher-order topological insulators in antiperovskites

2020 ◽  
Vol 101 (24) ◽  
Author(s):  
Yuan Fang ◽  
Jennifer Cano
Keyword(s):  
Topological Insulators ◽  
Higher Order

scholarly journals Higher-Order Topological Insulators in Quasicrystals

2020 ◽  
Vol 124 (3) ◽  
Author(s):  
Rui Chen ◽  
Chui-Zhen Chen ◽  
Jin-Hua Gao ◽  
Bin Zhou ◽  
Dong-Hui Xu
Keyword(s):  
Topological Insulators ◽  
Higher Order

scholarly journals Non-Abelian Bloch oscillations in higher-order topological insulators

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
M. Di Liberto ◽  
N. Goldman ◽  
G. Palumbo
Keyword(s):  
Quantum Dynamics ◽  
Topological Insulators ◽  
Berry Phase ◽  
Center Of Mass ◽  
Higher Order ◽  
Topological Properties ◽  
Bloch Oscillations ◽  
Abelian Gauge ◽  
Synchronization Mechanism ◽  
Wide Range

AbstractBloch oscillations (BOs) are a fundamental phenomenon by which a wave packet undergoes a periodic motion in a lattice when subjected to a force. Observed in a wide range of synthetic systems, BOs are intrinsically related to geometric and topological properties of the underlying band structure. This has established BOs as a prominent tool for the detection of Berry-phase effects, including those described by non-Abelian gauge fields. In this work, we unveil a unique topological effect that manifests in the BOs of higher-order topological insulators through the interplay of non-Abelian Berry curvature and quantized Wilson loops. It is characterized by an oscillating Hall drift synchronized with a topologically-protected inter-band beating and a multiplied Bloch period. We elucidate that the origin of this synchronization mechanism relies on the periodic quantum dynamics of Wannier centers. Our work paves the way to the experimental detection of non-Abelian topological properties through the measurement of Berry phases and center-of-mass displacements.

scholarly journals Tensor Networks for Latent Variable Analysis: Higher Order Canonical Polyadic Decomposition

2020 ◽  
Vol 31 (6) ◽  
pp. 2174-2188 ◽  
Author(s):  
Anh-Huy Phan ◽  
Andrzej Cichocki ◽  
Ivan Oseledets ◽  
Giuseppe G. Calvi ◽  
Salman Ahmadi-Asl ◽  
...  
Keyword(s):  
Latent Variable ◽  
Higher Order ◽  
Latent Variable Analysis ◽  
Tensor Networks ◽  
Canonical Polyadic Decomposition ◽  
Variable Analysis
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