Photovoltaic chiral magnetic effect in Weyl semimetals

Taguchi, Kohji; Imaeda, Tatsushi; Sato, Masatoshi; Tanaka, Yukio

doi:10.1103/physrevb.93.201202

Cited by 78 publications

(75 citation statements)

References 56 publications

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“…Their unique topological properties are predicted to give rise to a wide range of exotic transport and optical phenomena [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. By considering various rotational and mirror symmetries in both symmorphic and non-symmorphic contexts, researchers have predicted nodal-line semimetals [38] [48][49][50].…”

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confidence: 99%

Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa

et al. 2017

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Topological semimetals can be classified by the connectivity and dimensionality of the band crossing 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 Co2MnGa as a candidate. Both Hopf link and chain-like bulk band crossings and unconventional topological surface states are identified.Since the discovery of Dirac and Weyl semimetals [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], topological semimetals have emerged as an active frontier in condensed matter physics. Their unique topological properties are predicted to give rise to a wide range of exotic transport and optical phenomena [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. By considering various rotational and mirror symmetries in both symmorphic and non-symmorphic contexts, researchers have predicted nodal-line semimetals [38] [48][49][50]. Despite this diversity, topological semimetals can be further classified and characterized by the dimensionality of their band crossings in the bulk Brillouin zone (BZ). In a Dirac/Weyl semimetal or an unconventional (higher-fold degenerate) fermion semimetal [41,[43][44][45][46], the conduction and valence bands cross at discrete points in the BZ. Therefore, the dimension of their band crossings is 0D. In a nodal-line semimetal [38], the conduction and valence bands touch along a closed loop, thus the dimension of its band crossing is 1D. In this letter, we propose a number of previously unidentified topological semimetals and identify a candidate material class for the experimental realization. They feature 3D band crossings characterized by nontrivial links such as a Hopf link or a coupled-chain enabled by perpendicular mirror planes. The Hopf link, which consists of two rings that pass through the center of each other, represents the simplest topologically nontrivial link. While originally studied in mathematics and other areas, recently, researchers have applied this concept into topological physics in order to construct novel topological insulators and superconductors [52][53][54], although the role of Hopf link is distinctly different from what is considered here. Here we apply this idea in metals and show that the c...

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Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa

et al. 2017

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“…We content ourselves with the computation of the expression (39). When (B ⊥ b), the circular SHG current turns out to be the same as (33).…”

Section: Second Harmonic Generation In Dirac Semimetalsmentioning

confidence: 99%

“…In this section we will adapt the semiclassical theory of non-linear magnetooptics to the model at hands 15,[30][31][32][33] . Without loss of generality, we will assume that the Fermi level µ crosses the conduction band.…”

Section: Non Linear Magneto-optics In Kinetic Theorymentioning

confidence: 99%

Magnetic-field-induced nonlinear optical responses in inversion symmetric Dirac semimetals

Cortijo

2016

Phys. Rev. B

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We show that, under the effect of an external magnetic field, a photogalvanic effect and the generation of second harmonic wave can be induced in inversion-symmetric and time reversal invariant Dirac semimetals and it is linear with the magnetic field. The mechanisms responsible of these non linear optical responses is the magnetochiral effect and the chiral magnetic effect. What makes possible that these two effects give rise to the discussed non linear optical effects is the presence of band bending effects in the dispersion relation in real Dirac semimetals. Some observable consequences of this phenomenon are the appearance of a dc current on the surface of the system when it is irradiated with linearly polarized light or a rotation of the polarization plane of the reflected second harmonic wave.

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“…This might serve as a good starting point to study further the properties of such mixed Weyl semimetal systems. For example, by fixing φ y and φ z in between a pair of mixed Weyl points and applying a magnetic field, one could explore the possiblity of generating the chiral magnetic effect [18][19][20], i.e., the presence of dissipationless current along the direction of the magnetic field, which is known to depend on the energy difference between two type-I Weyl points [10,18].…”

Section: B Emergence Of Type-ii Weyl Pointsmentioning

confidence: 99%

“…In particular, a pair of edge states meets along a line connecting two Weyl points of opposite chiralities, which is called Fermi arc [9,11]. Weyl semimetals are known to exhibit novel transport properties, such as negative magnetoresistance [12][13][14], anomalous Hall effect [15][16][17][18], and chiral magnetic effect [18][19][20]. In 2015, a new type of Weyl semimetal phases called type-II Weyl semimetals was discovered [21].…”

Section: Introductionmentioning

confidence: 99%

Generating controllable type-II Weyl points via periodic driving

Bomantara

Gong

2016

Phys. Rev. B

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Type-II Weyl semimetals are a novel gapless topological phase of matter discovered recently in 2015. Similar to normal (type-I) Weyl semimetals, type-II Weyl semimetals consist of isolated band touching points. However, unlike type-I Weyl semimetals which have a linear energy dispersion around the band touching points forming a three dimensional (3D) Dirac cone, type-II Weyl semimetals have a tilted cone-like structure around the band touching points. This leads to various novel physical properties that are different from type-I Weyl semimetals. In order to study further the properties of type-II Weyl semimetals and perhaps realize them for future applications, generating controllable type-II Weyl semimetals is desirable. In this paper, we propose a way to generate a type-II Weyl semimetal via a generalized Harper model interacting with a harmonic driving field. When the field is treated classically, we find that only type-I Weyl points emerge.However, by treating the field quantum mechanically, some of these type-I Weyl points may turn into type-II Weyl points. Moreover, by tuning the coupling strength, it is possible to control the tilt of the Weyl points and the energy difference between two Weyl points, which makes it possible to generate a pair of mixed Weyl points of type-I and type-II. We also discuss how to physically distinguish these two types of Weyl points in the framework of our model via the Landau level structures in the presence of an artificial magnetic field. The results are of general interest to quantum optics as well as ongoing studies of Floquet topological phases.

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Photovoltaic chiral magnetic effect in Weyl semimetals

Cited by 78 publications

References 56 publications

Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa

Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa

Magnetic-field-induced nonlinear optical responses in inversion symmetric Dirac semimetals

Generating controllable type-II Weyl points via periodic driving

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