scholarly journals Higher-order topological insulators in a magnetic field

2019 ◽  
Vol 100 (24) ◽  
Author(s):  
Yuria Otaki ◽  
Takahiro Fukui
Keyword(s):  
Magnetic Field ◽  
Topological Insulators ◽  
Higher Order

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 Unveiling hidden multipolar orders with magnetostriction

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Adarsh S. Patri ◽  
Akito Sakai ◽  
SungBin Lee ◽  
Arun Paramekanti ◽  
Satoru Nakatsuji ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Degrees Of Freedom ◽  
Landau Theory ◽  
Length Change ◽  
Higher Order ◽  
Strongly Correlated ◽  
Cage Compounds ◽  
Broken Symmetries ◽  
Magnetostriction Coefficient ◽  
Hidden Orders

Abstract Broken symmetries in solids involving higher order multipolar degrees of freedom are historically referred to as “hidden orders” due to the formidable task of detecting them with conventional probes. In this work, we theoretically propose that magnetostriction provides a powerful and novel tool to directly detect higher-order multipolar symmetry breaking—such as the elusive octupolar order—by examining scaling behaviour of length change with respect to an applied magnetic field h. Employing a symmetry-based Landau theory, we focus on the family of Pr-based cage compounds with strongly correlated f-electrons, Pr(Ti,V,Ir)2(Al,Zn)20, whose low energy degrees of freedom are purely higher-order multipoles: quadrupoles $${\cal{O}}_{20,22}$$ O 20 , 22 and octupole $${\cal{T}}_{xyz}$$ T x y z . We demonstrate that a magnetic field along the [111] direction induces a distinct linear-in-h length change below the octupolar ordering temperature. The resulting “magnetostriction coefficient” is directly proportional to the octupolar order parameter, thus providing clear access to such subtle order parameters.

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