Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn)

Chang, Guoqing; Xu, Su -Yang; Zheng, Hao; Singh, Bahadur; Hsu, Chuang -Han; Bian, Guang; Alidoust, Nasser; Belopolski, Ilya; Sanchez, Daniel S.; Zhang, Songtian; Lin, Hsin; Hasan, M. Zahid

doi:10.1038/srep38839

Title: Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co₂TiX (X=Si, Ge, or Sn)

Abstract

Topological semimetals (TSMs) including Weyl semimetals and nodal-line semimetals are expected to open the next frontier of condensed matter and materials science. Although the first inversion breaking Weyl semimetal was recently discovered in TaAs, its magnetic counterparts, i.e., the time-reversal breaking Weyl and nodal line semimetals, remain elusive. They are predicted to exhibit exotic properties distinct from the inversion breaking TSMs including TaAs. In this paper, we identify the magnetic topological semimetal states in the ferromagnetic half-metal compounds Co₂TiX (X = Si, Ge, or Sn) with Curie temperatures higher than 350 K. Our first-principles band structure calculations show that, in the absence of spin-orbit coupling, Co₂TiX features three topological nodal lines. The inclusion of spin-orbit coupling gives rise to Weyl nodes, whose momentum space locations can be controlled as a function of the magnetization direction. Lastly, our results not only open the door for the experimental realization of topological semimetal states in magnetic materials at room temperature, but also suggest potential applications such as unusual anomalous Hall effect in engineered monolayers of the Co₂TiX compounds at high temperature.

Authors:

Chang, Guoqing ^[1]; Xu, Su -Yang ^[2]; Zheng, Hao ^[2]; Singh, Bahadur ^[1]; Hsu, Chuang -Han ^[1]; Bian, Guang ^[2]; Alidoust, Nasser ^[2]; Belopolski, Ilya ^[2]; Sanchez, Daniel S. ^[2]; Zhang, Songtian ^[2]; Lin, Hsin ^[1]; Hasan, M. Zahid ^[2]

National Univ. of Singapore (Singapore)
Princeton Univ., Princeton, NJ (United States)

Publication Date:: Thu Dec 15 00:00:00 EST 2016

Research Org.:: Princeton Univ., NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1361395

Grant/Contract Number:: FG02-05ER46200

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 6; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 36 MATERIALS SCIENCE; electronic properties and materials; topological insulators

Citation Formats


                    Chang, Guoqing, Xu, Su -Yang, Zheng, Hao, Singh, Bahadur, Hsu, Chuang -Han, Bian, Guang, Alidoust, Nasser, Belopolski, Ilya, Sanchez, Daniel S., Zhang, Songtian, Lin, Hsin, and Hasan, M. Zahid. Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn).  United States: N. p., 2016. 
Web.  doi:10.1038/srep38839.

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                    Chang, Guoqing, Xu, Su -Yang, Zheng, Hao, Singh, Bahadur, Hsu, Chuang -Han, Bian, Guang, Alidoust, Nasser, Belopolski, Ilya, Sanchez, Daniel S., Zhang, Songtian, Lin, Hsin, & Hasan, M. Zahid. Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn).  United States.  https://doi.org/10.1038/srep38839

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                    Chang, Guoqing, Xu, Su -Yang, Zheng, Hao, Singh, Bahadur, Hsu, Chuang -Han, Bian, Guang, Alidoust, Nasser, Belopolski, Ilya, Sanchez, Daniel S., Zhang, Songtian, Lin, Hsin, and Hasan, M. Zahid. Thu .  
"Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn)".  United States.  https://doi.org/10.1038/srep38839.  https://www.osti.gov/servlets/purl/1361395.

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@article{osti_1361395,

  title        = {Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn)},

  author       = {Chang, Guoqing and Xu, Su -Yang and Zheng, Hao and Singh, Bahadur and Hsu, Chuang -Han and Bian, Guang and Alidoust, Nasser and Belopolski, Ilya and Sanchez, Daniel S. and Zhang, Songtian and Lin, Hsin and Hasan, M. Zahid},

  abstractNote = {Topological semimetals (TSMs) including Weyl semimetals and nodal-line semimetals are expected to open the next frontier of condensed matter and materials science. Although the first inversion breaking Weyl semimetal was recently discovered in TaAs, its magnetic counterparts, i.e., the time-reversal breaking Weyl and nodal line semimetals, remain elusive. They are predicted to exhibit exotic properties distinct from the inversion breaking TSMs including TaAs. In this paper, we identify the magnetic topological semimetal states in the ferromagnetic half-metal compounds Co2TiX (X = Si, Ge, or Sn) with Curie temperatures higher than 350 K. Our first-principles band structure calculations show that, in the absence of spin-orbit coupling, Co2TiX features three topological nodal lines. The inclusion of spin-orbit coupling gives rise to Weyl nodes, whose momentum space locations can be controlled as a function of the magnetization direction. Lastly, our results not only open the door for the experimental realization of topological semimetal states in magnetic materials at room temperature, but also suggest potential applications such as unusual anomalous Hall effect in engineered monolayers of the Co2TiX compounds at high temperature.},

  doi          = {10.1038/srep38839},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 6,

  place        = {United States},

  year         = {Thu Dec 15 00:00:00 EST 2016},

  month        = {Thu Dec 15 00:00:00 EST 2016}

}

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We predict a magnetic Weyl semimetal in the inverse Heusler Ti₂MnAl, a compensated ferrimagnet with a vanishing net magnetic moment and a Curie temperature of over 650 K. Despite the vanishing net magnetic moment, we calculate a large intrinsic anomalous Hall effect (AHE) of about 300 S/cm. It derives from the Berry curvature distribution of the Weyl points, which are only 14 meV away from the Fermi level and isolated from trivial bands. Different from antiferromagnets Mn₃ X (X=Ge, Sn, Ga, Ir, Rh, and Pt), where the AHE originates from the noncollinear magnetic structure, the AHE in Ti₂MnAl stems directlymore »« less
Cited by 65
https://doi.org/10.1103/physrevb.97.060406

Full Text Available
Topological nodal line semimetals with and without spin-orbital coupling

Journal Article Fang, Chen ; Chen, Yige ; Kee, Hae -Young ; ... - Physical Review. B, Condensed Matter and Materials Physics

Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines inmore »« less
Cited by 631
https://doi.org/10.1103/physrevb.92.081201

Full Text Available
Discovery of a new type of topological Weyl fermion semimetal state in Mo_xW_1-xTe₂

Journal Article Belopolski, Ilya ; Sanchez, Daniel S. ; Ishida, Yukiaki ; ... - Nature Communications

Here, the recent discovery of a Weyl semimetal in TaAs offers the first Weyl fermion observed in nature and dramatically broadens the classification of topological phases. However, in TaAs it has proven challenging to study the rich transport phenomena arising from emergent Weyl fermions. The series Mo_xW_1-xTe₂ are inversion-breaking, layered, tunable semimetals already under study as a promising platform for new electronics and recently proposed to host Type II, or strongly Lorentz-violating, Weyl fermions. Here we report the discovery of a Weyl semimetal in Mo_xW_1-xTe₂ at x=25%. We use pump-probe angle-resolved photoemission spectroscopy (pump-probe ARPES) to directly observe a topologicalmore »« less
Cited by 145
https://doi.org/10.1038/ncomms13643

Full Text Available
Spin-orbit coupling driven crossover from a starfruitlike nodal semimetal to Dirac and Weyl semimetal state in CaAuAs

Journal Article Singh, Bahadur ; Mardanya, Sougata ; Su, Chenliang ; ... - Physical Review. B

Band crossings that occur on a mirror plane are compelled to form nodal loops in the momentum space in the absence of spin-orbit coupling (SOC). When other equivalent mirror planes are present, multiple such nodal loops can combine to form interesting topological structures involving crossed nodal lines. Here, based on first-principles calculations and an effective k ⋅ p model analysis, we show that CaAuAs hosts a unique starfruitlike crossed-nodal-line structure in the bulk electronic dispersion, which is comprised of three nodal loops that cross each other at the time-reversal-invariant momentum point A. When the SOC is turned on, the nodalmore »« less
Cited by 24
https://doi.org/10.1103/physrevb.98.085122

Full Text Available

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Title: Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn)

Abstract

Citation Formats

Magneto-optical properties of metallic ferromagnetic materials journal, August 1983

Mott physics and band topology in materials with strong spin–orbit interaction journal, March 2010

Anomalous transport properties of the half-metallic ferromagnets Co 2 TiSi, Co 2 TiGe and Co 2 TiSn journal, September 2011

Observation of Fermi arc surface states in a topological metal journal, December 2014

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide journal, August 2015

Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal journal, February 2016

Experimental discovery of a topological Weyl semimetal state in TaP journal, November 2015

Magnetic and half-metallic properties of the full-Heusler alloys Co2TiX(X=Al,Ga;Si,Ge,Sn;Sb) journal, May 2005

Preserving the Half-Metallicity at the Heusler Alloy C o 2 M n S i ( 001 ) Surface: A Density Functional Theory Study journal, March 2005

Observation of Weyl nodes in TaAs journal, August 2015

Band theory of Co 2 MnSn, Co 2 TiSn and Co 2 TiAl journal, June 1982

Atomic-Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy journal, December 2015

Weyl Mott Insulator journal, January 2016

Magnetic properties and magneto-optical spectroscopy of Heusler alloys based on transition metals and Sn journal, January 1983

Topological nodal-line fermions in spin-orbit metal PbTaSe2 journal, February 2016

Inhomogeneous Electron Gas journal, November 1964

Discovery of a Weyl fermion semimetal and topological Fermi arcs journal, July 2015

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal journal, November 1983

Direct observation of half-metallicity in the Heusler compound Co2MnSi journal, May 2014

A new form of Ca 3 P 2 with a ring of Dirac nodes journal, August 2015

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class journal, June 2015

Topological insulators, topological superconductors and Weyl fermion semimetals: discoveries, perspectives and outlooks journal, September 2015

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal, May 2011

Topological nodal semimetals journal, December 2011

Topological nodal line semimetals with and without spin-orbital coupling journal, August 2015

Topological response in Weyl semimetals and the chiral anomaly journal, September 2012

Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals journal, February 2016

Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite Cu 3 PdN journal, July 2015

Drumhead surface states and topological nodal-line fermions in TlTaSe 2 journal, March 2016

Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 journal, October 2011

Anomalous Hall Effect in Weyl Metals journal, October 2014

Tailoring the electronic structure of half-metallic Heusler alloys journal, October 2009

Demonstration of Half-Metallicity in Fermi-Level-Tuned Heusler Alloy Co 2 FeAl 0.5 Si 0.5 at Room Temperature journal, June 2009

Calculated electronic and magnetic properties of the half-metallic, transition metal based Heusler compounds journal, March 2007

Slater-Pauling behavior and origin of the half-metallicity of the full-Heusler alloys journal, November 2002

Magnetic and chemical order in Heusler alloys containing cobalt and titanium journal, October 1973

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal, October 1996

From ultrasoft pseudopotentials to the projector augmented-wave method journal, January 1999

Generalized Gradient Approximation Made Simple journal, October 1996

Maximally localized generalized Wannier functions for composite energy bands journal, November 1997

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal, May 2021

Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs text, January 2015

Observation of Weyl nodes in TaAs text, January 2015

Experimental discovery of a topological Weyl semimetal state in TaP text, January 2015

Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal text, January 2016

Real-time evolution and quantized charge pumping in magnetic Weyl semimetals journal, October 2019

Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal journal, July 2018

Electric-Field Control of Magnetic Order: From FeRh to Topological Antiferromagnetic Spintronics journal, November 2018

Investigation of the structural competing and atomic ordering in Heusler compounds Fe 2 NiSi and Ni 2 FeSi under strain condition journal, September 2019

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review journal, January 2018

Quantum transport in topological semimetals under magnetic fields (II) journal, April 2019

Multifold nodal points in magnetic materials journal, October 2019

Robust topological nodal lines in halide carbides journal, January 2019

Topological quantum catalyst: Dirac nodal line states and a potential electrocatalyst of hydrogen evolution in the TiSi family journal, December 2017

Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co2MnGa journal, April 2019

Critical behavior in the half-metallic Heusler alloy Co 2 TiSn journal, December 2019

Large anomalous Hall current induced by topological nodal lines in a ferromagnetic van der Waals semimetal journal, July 2018

Three-dimensional Majorana fermions in chiral superconductors journal, December 2016

Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes journal, April 2019

Large anomalous Nernst effect in thin films of the Weyl semimetal Co 2 MnGa journal, November 2018

Ideal type-II Weyl phonons in wurtzite CuI journal, August 2019

Anomalous Hall effect and the role of Berry curvature in Co 2 TiSn Heusler films journal, August 2019

The study of magnetic topological semimetals by first principles calculations journal, October 2019

Structural-order dependence of anomalous Hall effect in Co 2 MnGa topological semimetal thin films journal, December 2019

Towards properties on demand in quantum materials journal, October 2017

Weyl-loop half-metal in Li 3 ( FeO 3 ) 2 journal, February 2019

Topological phases in a Weyl semimetal multilayer journal, April 2017

Magnetic quantum phase transitions in a clean Dirac metal journal, November 2019

Zero‐Field Nernst Effect in a Ferromagnetic Kagome‐Lattice Weyl‐Semimetal Co 3 Sn 2 S 2 journal, April 2019

Collective excitations in Weyl semimetals in the hydrodynamic regime journal, June 2018

Heusler, Weyl and Berry journal, July 2018

Three-Dimensional Majorana Fermions in Chiral Superconductors text, January 2016

Weyl and Dirac Semimetals in Three Dimensional Solids text, January 2017

Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal text, January 2017

From colossal to zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design text, January 2017

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review text, January 2018

Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co$_2$MnGa text, January 2018

Title: Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co₂TiX (X=Si, Ge, or Sn)

Magneto-optical properties of metallic ferromagnetic materials
journal, August 1983

Mott physics and band topology in materials with strong spin–orbit interaction
journal, March 2010

Anomalous transport properties of the half-metallic ferromagnets Co ₂ TiSi, Co ₂ TiGe and Co ₂ TiSn
journal, September 2011

Observation of Fermi arc surface states in a topological metal
journal, December 2014

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
journal, August 2015

Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal
journal, February 2016

Experimental discovery of a topological Weyl semimetal state in TaP
journal, November 2015

Magnetic and half-metallic properties of the full-Heusler alloys Co2TiX(X=Al,Ga;Si,Ge,Sn;Sb)
journal, May 2005

Preserving the Half-Metallicity at the Heusler Alloy ${C o}_{2} M n S i (001)$ Surface: A Density Functional Theory Study
journal, March 2005

Observation of Weyl nodes in TaAs
journal, August 2015

Band theory of Co ₂ MnSn, Co ₂ TiSn and Co ₂ TiAl
journal, June 1982

Atomic-Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy
journal, December 2015

Weyl Mott Insulator
journal, January 2016

Magnetic properties and magneto-optical spectroscopy of Heusler alloys based on transition metals and Sn
journal, January 1983

Topological nodal-line fermions in spin-orbit metal PbTaSe2
journal, February 2016

Inhomogeneous Electron Gas
journal, November 1964

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
journal, November 1983

Direct observation of half-metallicity in the Heusler compound Co2MnSi
journal, May 2014

A new form of Ca ₃ P ₂ with a ring of Dirac nodes
journal, August 2015

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015

Topological insulators, topological superconductors and Weyl fermion semimetals: discoveries, perspectives and outlooks
journal, September 2015

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Topological nodal semimetals
journal, December 2011

Topological nodal line semimetals with and without spin-orbital coupling
journal, August 2015

Topological response in Weyl semimetals and the chiral anomaly
journal, September 2012

Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals
journal, February 2016

Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite ${Cu}_{3} PdN$
journal, July 2015

Drumhead surface states and topological nodal-line fermions in ${TlTaSe}_{2}$
journal, March 2016

Chern Semimetal and the Quantized Anomalous Hall Effect in ${HgCr}_{2} {Se}_{4}$
journal, October 2011

Anomalous Hall Effect in Weyl Metals
journal, October 2014

Tailoring the electronic structure of half-metallic Heusler alloys
journal, October 2009

Demonstration of Half-Metallicity in Fermi-Level-Tuned Heusler Alloy ${Co}_{2} {FeAl}_{0.5} {Si}_{0.5}$ at Room Temperature
journal, June 2009

Calculated electronic and magnetic properties of the half-metallic, transition metal based Heusler compounds
journal, March 2007

Slater-Pauling behavior and origin of the half-metallicity of the full-Heusler alloys
journal, November 2002

Magnetic and chemical order in Heusler alloys containing cobalt and titanium
journal, October 1973

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999

Generalized Gradient Approximation Made Simple
journal, October 1996

Maximally localized generalized Wannier functions for composite energy bands
journal, November 1997

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021

Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
text, January 2015

Observation of Weyl nodes in TaAs
text, January 2015

Experimental discovery of a topological Weyl semimetal state in TaP
text, January 2015

Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
text, January 2016

Real-time evolution and quantized charge pumping in magnetic Weyl semimetals
journal, October 2019

Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal
journal, July 2018

Electric-Field Control of Magnetic Order: From FeRh to Topological Antiferromagnetic Spintronics
journal, November 2018

Investigation of the structural competing and atomic ordering in Heusler compounds Fe ₂ NiSi and Ni ₂ FeSi under strain condition
journal, September 2019

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
journal, January 2018

Quantum transport in topological semimetals under magnetic fields (II)
journal, April 2019

Multifold nodal points in magnetic materials
journal, October 2019

Robust topological nodal lines in halide carbides
journal, January 2019

Topological quantum catalyst: Dirac nodal line states and a potential electrocatalyst of hydrogen evolution in the TiSi family
journal, December 2017

Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co2MnGa
journal, April 2019

Critical behavior in the half-metallic Heusler alloy ${Co}_{2} TiSn$
journal, December 2019

Large anomalous Hall current induced by topological nodal lines in a ferromagnetic van der Waals semimetal
journal, July 2018

Three-dimensional Majorana fermions in chiral superconductors
journal, December 2016

Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes
journal, April 2019

Large anomalous Nernst effect in thin films of the Weyl semimetal Co ₂ MnGa
journal, November 2018

Ideal type-II Weyl phonons in wurtzite CuI
journal, August 2019

Anomalous Hall effect and the role of Berry curvature in ${Co}_{2} TiSn$ Heusler films
journal, August 2019

The study of magnetic topological semimetals by first principles calculations
journal, October 2019

Structural-order dependence of anomalous Hall effect in Co ₂ MnGa topological semimetal thin films
journal, December 2019

Towards properties on demand in quantum materials
journal, October 2017

Weyl-loop half-metal in ${Li}_{3} {({FeO}_{3})}_{2}$
journal, February 2019

Topological phases in a Weyl semimetal multilayer
journal, April 2017

Magnetic quantum phase transitions in a clean Dirac metal
journal, November 2019

Zero‐Field Nernst Effect in a Ferromagnetic Kagome‐Lattice Weyl‐Semimetal Co ₃ Sn ₂ S ₂
journal, April 2019

Collective excitations in Weyl semimetals in the hydrodynamic regime
journal, June 2018

Heusler, Weyl and Berry
journal, July 2018

Three-Dimensional Majorana Fermions in Chiral Superconductors
text, January 2016

Weyl and Dirac Semimetals in Three Dimensional Solids
text, January 2017

Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
text, January 2017

From colossal to zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design
text, January 2017

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
text, January 2018

Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co$_2$MnGa
text, January 2018

Electric-Field Control of Magnetic Order: From FeRh to Topological Antiferromagnetic Spintronics
text, January 2018

Multifold nodal points in magnetic materials
text, January 2019