scholarly journals Edge states and the integer quantum Hall conductance in spin-chiral ferromagnetic kagomé lattice

2008 ◽  
Vol 77 (12) ◽  
Author(s):  
Zhigang Wang ◽  
Ping Zhang
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Kagome Lattice ◽  
Hall Conductance ◽  
Kagomé Lattice ◽  
Integer Quantum

scholarly journals Critical behavior at the integer quantum Hall transition in a network model on the kagome lattice

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
N. Charles ◽  
I. A. Gruzberg ◽  
A. Klümper ◽  
W. Nuding ◽  
A. Sedrakyan
Keyword(s):  
Network Model ◽  
Critical Behavior ◽  
Quantum Hall ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Integer Quantum

Generalized gauge invariance and the integer quantum Hall effect

1991 ◽  
Vol 432 (1884) ◽  
pp. 43-54 ◽  
Keyword(s):  
Quantum Hall Effect ◽  
Gauge Invariance ◽  
Periodic Potential ◽  
Quantum Hall ◽  
Winding Number ◽  
Hall Conductance ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum ◽  
Landau Band ◽  
Invariance Argument

Generalizing a simple gauge-invariance argument, we introduce a k -space vector potential A k which allows us to obtain explicitly the identification of the Hall conductance with the quantized phase winding number of the wave function around the Brillouin zone. We also demonstrate, based on these winding number considerations alone, that a weak periodic potential which splits each Landau band into non-degenerate subbands results in Hall conductances which sum to unity, and satisfy a Diophantine equation.

scholarly journals Tunable dispersion of the edge states in the integer quantum Hall effect

2017 ◽  
Vol 3 (4) ◽  
Author(s):  
Maik Malki ◽  
Götz Uhrig
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Condensed Matter ◽  
Quantum Hall ◽  
External Control ◽  
Fermi Velocity ◽  
Control Parameters ◽  
Edge States ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum

Topological aspects represent currently a boosting area in condensed matter physics. Yet there are very few suggestions for technical applications of topological phenomena. Still, the most important is the calibration of resistance standards by means of the integer quantum Hall effect. We propose modifications of samples displaying the integer quantum Hall effect which render the tunability of the Fermi velocity possible by external control parameters such as gate voltages. In this way, so far unexplored possibilities arise to realize devices such as tunable delay lines and interferometers.

scholarly journals On the topological immunity of corner states in two-dimensional crystalline insulators

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Guido van Miert ◽  
Carmine Ortix
Keyword(s):  
Topological Insulator ◽  
Rotational Symmetry ◽  
Higher Order ◽  
Two Dimensions ◽  
Edge States ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Mistaken Identity ◽  
Boundary States ◽  
Charge Mode

Abstract A higher-order topological insulator (HOTI) in two dimensions is an insulator without metallic edge states but with robust zero-dimensional topological boundary modes localized at its corners. Yet, these corner modes do not carry a clear signature of their topology as they lack the anomalous nature of helical or chiral boundary states. Here, we demonstrate using immunity tests that the corner modes found in the breathing kagome lattice represent a prime example of a mistaken identity. Contrary to previous theoretical and experimental claims, we show that these corner modes are inherently fragile: the kagome lattice does not realize a higher-order topological insulator. We support this finding by introducing a criterion based on a corner charge-mode correspondence for the presence of topological midgap corner modes in n-fold rotational symmetric chiral insulators that explicitly precludes the existence of a HOTI protected by a threefold rotational symmetry.

scholarly journals Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice

2016 ◽  
Vol 117 (9) ◽  
Author(s):  
W. Zhu ◽  
Shou-Shu Gong ◽  
Tian-Sheng Zeng ◽  
Liang Fu ◽  
D. N. Sheng
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Kagome Lattice ◽  
Kagomé Lattice
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