Integer Quantum Hall Effect

Aoki, Hideo

doi:10.1016/b978-0-44-453153-7.00054-7

Cited by 3 publications

(2 citation statements)

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“…The propounding theory of quantum Hall effect (QHE) and the associated distinctive band topology in condensed matter systems has garnered a substantial interest in the last decade [1][2][3]. When the role of external magnetic field in QHE is replaced by strong spin-orbit coupling, a new platform for several topological gapless materials emerges.…”

Section: Introductionmentioning

confidence: 99%

“…This include topological Dirac and Weyl semimetals characterized by band touching points in the bulk which are manifestation of low energy quasiparticle excitations (Dirac or Weyl fermions). These concepts have been experimentally assessed 1 Author to whom any correspondence should be addressed. so far and extensively studied due to their potential applications in spintronics and quantum computation [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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Breakdown of Ohm’s law and nontrivial Berry phase in magnetic Weyl semimetal Co₃Sn₂S₂

Nagpal

Patnaik

2020

J. Phys.: Condens. Matter

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The concept of realization of Weyl points close to the Fermi level in materials with broken time-reversal symmetry has significant theoretical and technological ramifications. Here, we review the investigation of magneto-transport measurements in single crystals of magnetic Weyl semimetal Co 3 Sn 2 S 2 . We see a turn-on like behaviour followed by saturation in resistivity under magnetic field in the low temperature region which is allocated to the topological surface states. A non-saturating magnetoresistance, linear at high fields, is observed at low temperatures where applied magnetic field is transverse to the current direction. The linear negative magnetoresistance at low magnetic fields (B < 0.1 T) provides evidence for time reversal symmetry breaking in Co 3 Sn 2 S 2 . Chiral anomaly in Weyl metallic state in Co 3 Sn 2 S 2 is confirmed from the breakdown of Ohm's law in the electronic transport. Shubnikov de Haas (SdH) oscillation measurement has unveiled the multiple sub-bands on the Fermi surface that corresponds to a non-trivial Berry phase. The non-linear behaviour in Hall resistivity validates the existence of two type of charge carriers with equal electron and hole densities. Strong temperature dependence of carrier mobilities reflects the systematic violation of Kohler's rule in Co 3 Sn 2 S 2 . Our findings open avenues to study kagome-lattice based magnetic Weyl semimetals that unfurl the basic topological aspects leading to significant ramification for spintronics.

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Section: Introductionmentioning

confidence: 99%