Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal A B C Crystals

Gao, Heng; Kim, Youngkuk; Venderbos, Jörn W. F.; Kane, C. L.; Mele, E. J.; Rappe, Andrew M.; Ren, Wei

doi:10.1103/PhysRevLett.121.106404

Title: Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal $A B C$ Crystals

Authors:: Gao, Heng; Kim, Youngkuk; Venderbos, Jörn W. F.; Kane, C. L.; Mele, E. J.; Rappe, Andrew M.; Ren, Wei

Publication Date:: Wed Sep 05 00:00:00 EDT 2018

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

OSTI Identifier:: 1468861

Grant/Contract Number:: FG02-07ER46431; 2015CB921600

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 10; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Gao, Heng, Kim, Youngkuk, Venderbos, Jörn W. F., Kane, C. L., Mele, E. J., Rappe, Andrew M., and Ren, Wei. Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal A B C Crystals.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.121.106404.

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                    Gao, Heng, Kim, Youngkuk, Venderbos, Jörn W. F., Kane, C. L., Mele, E. J., Rappe, Andrew M., & Ren, Wei. Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal A B C Crystals.  United States.  https://doi.org/10.1103/PhysRevLett.121.106404

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                    Gao, Heng, Kim, Youngkuk, Venderbos, Jörn W. F., Kane, C. L., Mele, E. J., Rappe, Andrew M., and Ren, Wei. Wed .  
"Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal A B C Crystals".  United States.  https://doi.org/10.1103/PhysRevLett.121.106404.

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@article{osti_1468861,

  title        = {Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal A B C Crystals},

  author       = {Gao, Heng and Kim, Youngkuk and Venderbos, Jörn W. F. and Kane, C. L. and Mele, E. J. and Rappe, Andrew M. and Ren, Wei},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.121.106404},

  journal      = {Physical Review Letters},

  number       = 10,

  volume       = 121,

  place        = {United States},

  year         = {Wed Sep 05 00:00:00 EDT 2018},

  month        = {Wed Sep 05 00:00:00 EDT 2018}

}

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Title: Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal A B C Crystals

Citation Formats

Generalized Gradient Approximation Made Simple journal, October 1996

Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals journal, February 2014

Topological insulators and superconductors journal, October 2011

A technique for relativistic spin-polarised calculations journal, August 1977

Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection journal, August 2011

Ideal Weyl Semimetals in the Chalcopyrites CuTlSe 2 , AgTlTe 2 , AuTlTe 2 , and ZnPbAs 2 journal, June 2016

Projector augmented-wave method journal, December 1994

Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions journal, May 2009

wannier90: A tool for obtaining maximally-localised Wannier functions journal, May 2008

Classification of stable three-dimensional Dirac semimetals with nontrivial topology journal, September 2014

Topological Crystalline Insulators journal, March 2011

Antiferroelectric Topological Insulators in Orthorhombic A MgBi Compounds ( A = Li , Na, K) journal, July 2017

A fast and robust algorithm for Bader decomposition of charge density journal, June 2006

Dirac Fermions in Solids: From High-T c Cuprates and Graphene to Topological Insulators and Weyl Semimetals journal, March 2014

Class of Rashba ferroelectrics in hexagonal semiconductors journal, December 2015

Dirac Line Nodes in Inversion-Symmetric Crystals journal, July 2015

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

Classification of chemical bonds based on topological analysis of electron localization functions journal, October 1994

Weyl and Dirac semimetals in three-dimensional solids journal, January 2018

RMX compounds formed by alkaline earths, europium and ytterbium III. Ternary phases with M  Mg, Hg and X  Si, Ge, Sn, Pb journal, May 1993

Pressure-induced structural phase transition in the half-Heusler compound CaAuBi journal, April 2014

Type-II Weyl semimetals journal, November 2015

Strain-Induced Ferroelectric Topological Insulator journal, February 2016

Colloquium: Topological insulators journal, November 2010

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

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal, January 2014

Experimental realization of a topological crystalline insulator in SnTe journal, September 2012

Double Dirac Semimetals in Three Dimensions journal, May 2016

Application of a Self-Consistent Scheme Including Exchange and Correlation Effects to Atoms journal, April 1966

Inhomogeneous Electron Gas journal, November 1964

Computing topological invariants without inversion symmetry journal, June 2011

WannierTools: An open-source software package for novel topological materials journal, March 2018

Z2Pack: Numerical implementation of hybrid Wannier centers for identifying topological materials journal, February 2017

Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry journal, September 2014

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals journal, July 2016

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase journal, September 2007

Three-dimensional Dirac semimetals: Design principles and predictions of new materials journal, May 2015

Topological superconductors: a review journal, May 2017

Dirac semimetal phase in hexagonal LiZnBi journal, September 2017

A stable three-dimensional topological Dirac semimetal Cd3As2 journal, May 2014

Bulk Dirac Points in Distorted Spinels journal, January 2014

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

Highly convergent schemes for the calculation of bulk and surface Green functions journal, April 1985

Title: Dirac-Weyl Semimetal: Coexistence of Dirac and Weyl Fermions in Polar Hexagonal $A B C$ Crystals

Generalized Gradient Approximation Made Simple
journal, October 1996

Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals
journal, February 2014

Topological insulators and superconductors
journal, October 2011

A technique for relativistic spin-polarised calculations
journal, August 1977

Equivalent expression of $Z_{2}$ topological invariant for band insulators using the non-Abelian Berry connection
journal, August 2011

Ideal Weyl Semimetals in the Chalcopyrites ${CuTlSe}_{2}$ , ${AgTlTe}_{2}$ , ${AuTlTe}_{2}$ , and ${ZnPbAs}_{2}$
journal, June 2016

Projector augmented-wave method
journal, December 1994

Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions
journal, May 2009

wannier90: A tool for obtaining maximally-localised Wannier functions
journal, May 2008

Classification of stable three-dimensional Dirac semimetals with nontrivial topology
journal, September 2014

Topological Crystalline Insulators
journal, March 2011

Antiferroelectric Topological Insulators in Orthorhombic $A MgBi$ Compounds ( $A = Li$ , Na, K)
journal, July 2017

A fast and robust algorithm for Bader decomposition of charge density
journal, June 2006

Dirac Fermions in Solids: From High-T _c Cuprates and Graphene to Topological Insulators and Weyl Semimetals
journal, March 2014

Class of Rashba ferroelectrics in hexagonal semiconductors
journal, December 2015

Dirac Line Nodes in Inversion-Symmetric Crystals
journal, July 2015

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

Classification of chemical bonds based on topological analysis of electron localization functions
journal, October 1994

Weyl and Dirac semimetals in three-dimensional solids
journal, January 2018

RMX compounds formed by alkaline earths, europium and ytterbium III. Ternary phases with M  Mg, Hg and X  Si, Ge, Sn, Pb
journal, May 1993

Pressure-induced structural phase transition in the half-Heusler compound CaAuBi
journal, April 2014

Type-II Weyl semimetals
journal, November 2015

Strain-Induced Ferroelectric Topological Insulator
journal, February 2016

Colloquium: Topological insulators
journal, November 2010

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

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014

Experimental realization of a topological crystalline insulator in SnTe
journal, September 2012

Double Dirac Semimetals in Three Dimensions
journal, May 2016

Application of a Self-Consistent Scheme Including Exchange and Correlation Effects to Atoms
journal, April 1966

Inhomogeneous Electron Gas
journal, November 1964

Computing topological invariants without inversion symmetry
journal, June 2011

WannierTools: An open-source software package for novel topological materials
journal, March 2018

Z2Pack: Numerical implementation of hybrid Wannier centers for identifying topological materials
journal, February 2017

Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry
journal, September 2014

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007

Three-dimensional Dirac semimetals: Design principles and predictions of new materials
journal, May 2015

Topological superconductors: a review
journal, May 2017

Dirac semimetal phase in hexagonal LiZnBi
journal, September 2017

A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014

Bulk Dirac Points in Distorted Spinels
journal, January 2014

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

Highly convergent schemes for the calculation of bulk and surface Green functions
journal, April 1985