Topological Hopf and Chain Link Semimetal States and Their Application to Co_{2}MnGa

Physical Review Letters
Guoqing ChangM Zahid Hasan

Abstract

Topological semimetals can be classified by the connectivity and dimensionality of the band crossings in momentum space. The band crossings of a Dirac, Weyl, or an unconventional fermion semimetal are zero-dimensional (0D) points, whereas the band crossings of a nodal-line semimetal are one-dimensional (1D) closed loops. Here we propose that the presence of perpendicular crystalline mirror planes can protect three-dimensional (3D) band crossings characterized by nontrivial links such as a Hopf link or a coupled chain, giving rise to a variety of new types of topological semimetals. We show that the nontrivial winding number protects topological surface states distinct from those in previously known topological semimetals with a vanishing spin-orbit interaction. We also show that these nontrivial links can be engineered by tuning the mirror eigenvalues associated with the perpendicular mirror planes. Using first-principles band structure calculations, we predict the ferromagnetic full Heusler compound Co_{2}MnGa as a candidate. Both Hopf link and chainlike bulk band crossings and unconventional topological surface states are identified.

References

Oct 15, 1996·Physical Review. B, Condensed Matter·G Kresse, J Furthmüller
Oct 28, 1996·Physical Review Letters·J P PerdewM Ernzerhof
Nov 13, 2008·Physical Review Letters·Joel E MooreXiao-Gang Wen
Oct 27, 2011·Physical Review Letters·A A Burkov, Leon Balents
Sep 26, 2012·Physical Review Letters·Chen FangB Andrei Bernevig
May 9, 2014·Nature Communications·Madhab NeupaneM Zahid Hasan
May 27, 2014·Nature Materials·Z K LiuY L Chen
Jul 26, 2014·Physical Review Letters·Sergey BorisenkoRobert J Cava
Oct 21, 2014·Nature Communications·Andrew C PotterAshvin Vishwanath
Jan 17, 2015·Science·Su-Yang XuM Zahid Hasan
Jun 13, 2015·Nature Communications·Shin-Ming HuangM Zahid Hasan
Jul 18, 2015·Science·Ling LuMarin Soljačić
Jan 21, 2016·Proceedings of the National Academy of Sciences of the United States of America·Shin-Ming HuangM Zahid Hasan
Feb 3, 2016·Nature Communications·Guang BianM Zahid Hasan
May 21, 2016·Physical Review Letters·Benjamin J WiederC L Kane
Aug 25, 2016·Nature·Tomáš BzdušekAlexey A Soluyanov
Dec 17, 2016·Physical Review Letters·Zhijun WangB Andrei Bernevig
May 12, 2017·Scientific Reports·Guoqing ChangM Zahid Hasan

❮ Previous
Next ❯

Citations

Aug 8, 2018·Physical Chemistry Chemical Physics : PCCP·Jin CaiYuanping Chen
Sep 6, 2018·Physical Chemistry Chemical Physics : PCCP·Yan GaoZhongfang Chen
May 23, 2020·Physical Review Letters·Zhesen YangJiangping Hu
Jul 6, 2020·Nature Communications·Daniel S SanchezM Zahid Hasan
Mar 24, 2018·Physical Review Letters·Cheng GongDavid Vanderbilt
Sep 22, 2018·Physical Review Letters·Junyeong AhnBohm-Jung Yang
Jan 25, 2020·Physical Review Letters·Run-Wu ZhangYugui Yao
Mar 21, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Ananya Ghatak, Tanmoy Das
Aug 4, 2020·Physical Review Letters·Erchan YangShuang Zhang
May 10, 2020·Physical Review Letters·Guoqing ChangM Zahid Hasan
Nov 6, 2020·Chemical Reviews·Nitesh KumarClaudia Felser
Feb 24, 2021·Nature Communications·Jiangxu LiXing-Qiu Chen
Sep 6, 2018·The Journal of Physical Chemistry Letters·Xiaoming ZhangGuodong Liu
Sep 4, 2019·ACS Applied Materials & Interfaces·Yi-Cheng ChenYing-Hao Chu
Oct 6, 2021·Nano Letters·Run-Wu ZhangYugui Yao
Dec 18, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Vineet Kumar SharmaV Kanchana

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.