Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Topological Hall effect in magnetic topological insulator films

Journal Article · · Journal of Magnetism and Magnetic Materials
 [1];  [2];  [2];  [3]
  1. Pennsylvania State Univ., University Park, PA (United States); Penn State University
  2. Univ. of New Hampshire, Durham, NH (United States)
  3. Pennsylvania State Univ., University Park, PA (United States)
+ Show Author Affiliations

Geometric Berry phase can be induced either by spin–orbit coupling, giving rise to the anomalous Hall effect in ferromagnetic materials, or by chiral spin texture, such as skyrmions, leading to the topological Hall effect. Recent experiments have revealed that both phenomena can occur in topological insulator films with magnetic doping, thus providing us with an intriguing platform to study the interplay between these two phenomena. In this work, we report on a numerical simulation of the anomalous Hall and topological Hall effects in a four-band model that can properly describe the quantum well states in the magnetic topological insulator films by combining Landauer–Büttiker formula and the iterative Green’s function method. Our numerical results suggest that spin–orbit coupling in this model plays a different role in the quantum transport in the clean and disordered limits. In the clean limit, spin–orbit coupling mainly influences the longitudinal transport but does not have much effect on topological Hall conductance. In the disordered limit, the longitudinal transport is determined by disorder scattering and spin–orbit coupling is found to affect strongly the topological Hall conductance. Here, this sharp contrast unveils a dramatic interplay between spin–orbit coupling and disorder effect in topological Hall effect in magnetic topological insulator systems.

Research Organization:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0019064; SC0016424
OSTI ID:
1783154
Alternate ID(s):
OSTI ID: 1829749
OSTI ID: 1972936
Journal Information:
Journal of Magnetism and Magnetic Materials, Journal Name: Journal of Magnetism and Magnetic Materials Vol. 528; ISSN 0304-8853
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (27)

Theory of antiskyrmions in magnets journal January 2016
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface journal May 2009
Geometric Hall effects in topological insulator heterostructures journal February 2016
Berry phase mechanism of the anomalous Hall effect in a disordered two-dimensional magnetic semiconductor structure journal November 2015
Hall Effect in Ferromagnetics journal September 1954
Oscillatory crossover from two-dimensional to three-dimensional topological insulators journal January 2010
Model Hamiltonian for topological insulators journal July 2010
Discretized topological Hall effect emerging from skyrmions in constricted geometry journal January 2015
Topological spin Hall effect resulting from magnetic skyrmions journal July 2015
Topological Hall and spin Hall effects in disordered skyrmionic textures journal February 2017
Thermally driven topology in chiral magnets journal October 2017
Quantum Anomalous Hall Effect in Hg 1 − y Mn y Te Quantum Wells journal October 2008
Topological Hall Effect in the A Phase of MnSi journal May 2009
Electrically Controllable Surface Magnetism on the Surface of Topological Insulators journal February 2011
Prediction of Giant Spin Motive Force due to Rashba Spin-Orbit Coupling journal May 2012
Dimensional Crossover-Induced Topological Hall Effect in a Magnetic Topological Insulator journal October 2017
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" journal October 1988
Anomalous Hall Effect in Ferromagnetic Semiconductors journal May 2002
Topological Hall Effect and Berry Phase in Magnetic Nanostructures journal August 2004
Unconventional Anomalous Hall Effect Enhanced by a Noncoplanar Spin Texture in the Frustrated Kondo Lattice Pr 2 Ir 2 O 7 journal January 2007
Anomalous Hall effect journal May 2010
Spin chirality induced skew scattering and anomalous Hall effect in chiral magnets journal February 2018
Quantized Anomalous Hall Effect in Magnetic Topological Insulators journal June 2010
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal March 2013
The Quantum Anomalous Hall Effect: Theory and Experiment journal March 2016
Spin helix of magnetic impurities in two-dimensional helical metal journal May 2010
On a New Action of the Magnet on Electric Currents journal September 1879

Similar Records

Anisotropically large anomalous and topological Hall effect in a kagome magnet
Journal Article · Tue Oct 26 00:00:00 EDT 2021 · Physical Review. B · OSTI ID:1856807
Quantum anomalous Hall effect in topological insulator memory
Journal Article · Thu May 07 00:00:00 EDT 2015 · Journal of Applied Physics · OSTI ID:22410038

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Skyrmion
Spin–orbit coupling
Topological Hall effect