Anomalous Hall optical conductivity in tilted topological nodal-line semimetals

Wang, Chen; Xu, Wen-Hui; Zhu, Chang-Yong; Chen, Jin-Na; Zhou, Yunfeng; Deng, Ming-Xun; Duan, Hou-Jian; Wang, Rui-Qiang

doi:10.1103/physrevb.103.165104

Cited by 9 publications

(5 citation statements)

References 42 publications

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“…The transverse optical conductivity of NLSM is found to vanish due to rotational symmetry along the ring of NLSM. This result is also supported by a recent study of Wang et al [11], who demonstrated the anomalous Hall optical conductivity in tilted topological NLSM. We refer to [18] for a review of other remarkable properties of these TSM systems as well as a discussion of possible technological applications.…”

Section: Introductionsupporting

confidence: 86%

“…Case study [6] Cd 3 As 2 , TaAs, Eu 2 In 2 O 7 , ZnTe 5 [7] nodal loop semimetals [8] body-centered orthorhombic C 16 , CaP 3 , Ca 3 P 2 [9] ZrSiS, ZrSiSe, ZrSiTe, HfSiS [11] tilted NLSM [12] ZrSiS [13] YbMnSb 2 [14] ZrSiS, ZrSiSe , ZrSiTe, ZrGeS, ZrGeTe [15] ZrGeS, ZrGeSe [16] ZrSiS models signifies that the optical responses of such NLSM are sensitive to topology. Additionally, we do not expect similar features in a trivial semiconductor with tunable band gap because the band structure is different from the ones obtained for the two model Hamiltonians for NLSM, presented in this paper.…”

Section: Referencementioning

confidence: 99%

“…When it came to be known that some TSMs exhibit different dispersion relations than that of Dirac and Weyl, making a nodal ring at the cross-section of valence and conduction bands, NLSM have attracted tremendous interest in condensed matter physics. The optical conductivity of NLSM has also been studied both theoretically and experimentally [6][7][8][9][10][11][12][13][14][15][16]. For example, in 2016/17, Carbotte and his team [6,7] studied the optical response of such NLSM as a function of different parameters using the Kubo formula.…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic optical conductivities of model topological nodal-line semimetals

Kandel,

Gumbs,

Berman

2023

J. Phys.: Condens. Matter

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With the use of simple models, we investigated the optical conductivity of a nodal-line semimetal (NLSM) whose crossing of the conduction and valence bands near the origin (O point) in the ( k x , k y ) plane of a small cubic region can be adjusted by a parameter α. The Hamiltonian of the NLSM is based on the k ⋅ p model for the low-lying energy bands. When α = 0, these bands touch each other along a continuous closed loop but the opening of a band gap corresponding to finite values of α and the varying of the carrier concentration can be adjusted. This provides a tunable semiconductor gap, around the O point and the valence and conduction bands can meet at a pair of points within the small cubic region in k space. The optical conductivity of such a NLSM is calculated using the Kubo formula with emphasis on the optical spectral weight redistribution, deduced from appropriate Green’s functions, brought about by changes in gap and chemical potential due to modifying α. We derived closed-form semi-analytic expressions for the longitudinal components of the optical conductivity for these model systems of NLSM and compare results for chosen α and chemical potential. We also present results for the heat capacity when the system is in thermal equilibrium for various chosen α and chemical potential.

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Section: Introductionsupporting

confidence: 86%

Section: Referencementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anisotropic optical conductivities of model topological nodal-line semimetals

Kandel,

Gumbs,

Berman

2023

J. Phys.: Condens. Matter

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“…The transverse optical conductivity of NLSM is found to vanish due to rotational symmetry along the ring of NLSM. This result is also supported by a recent study of Wang [26], who demonstrated the anomalous Hall optical conductivity in tilted topological nodal-line semimetals.…”

Section: Introductionsupporting

confidence: 84%

Optical Response of 3D Model Topological Nodal-line Semimetal

Kandel¹,

Gumbs²,

Berman³

2023

Advances in Nanosheets [Working Title]

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Topological nodal-line semimetals (TNLSM) have attracted significant attention in nanotechnology research due to their novel electronic and optical phenomena. In this work, we present a semi-analytical expression for both longitudinal and transverse optical conductivities of a model TNLSM employing the Kubo formula with emphasis on the optical spectral weight redistribution, deduced from appropriate Green's functions. We considered a simple model of a three-dimensional (3D) TNLSM consisting of a slab containing several nanosheets of single atoms along the $z$ axis. In this semimetal, the conduction and valence bands cross each other along a one-dimensional curve in the 3D Brillouin zone and any perturbation that preserves a certain symmetry group cannot remove this crossing line and open a full direct gap between the two bands. Although the crossing is stable against perturbations, it can be adjusted by continuous tuning of the Hamiltonian with a parameter $\alpha$. When $\alpha>0$, the two bands cross each other near the $\Gamma$ point in the ($k_x, k_y$) plane of the first Brillouin zone making a nodal circle of radius $\sqrt{\alpha}$. The circle shrinks to point when $\alpha=0$ and for $\alpha<0$, the nodal circle vanishes and a gap opens around $\Gamma$. Numerical results for the longitudinal optical response of such TNLSM are investigated by varying the gap due to modifying $\alpha$, the chemical potential $\mu$, temperature $T$ and the dephasing parameter $\eta$. The longitudinal optical conductivity is anisotropic along the direction parallel or perpendicular to the nodal ring due to anisotropic energy band dispersion along the ($k_x, k_y$) plane and the $k_z$ direction. Additionally, the transverse optical conductivity vanishes due to rotational symmetry.

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“…Weyl monoloop SHM, as an ideal semi-metallic candidate, sharing the simplest nodal line structure near the Fermi level, which is viewed as the basic building block of multiple linked loops including chains, nets, and knots. These special nodal loops can induce exotic physical phenomena and effects (e.g., ultrahigh mobilities, 40 extremely high conductivity, 41 large magnetoresistance, 42 unusual anomalous and spin Hall effects 43 ). Although the theoretical analysis of Weyl monoloop based on symmetries has afforded constructive references, the search for suitable candidates still remains challenging, mainly because the low-energy band structures of the realistic materials suffer from various drawbacks involving the nontrivial band crossing located far away from the Fermi level, the formed nodal loops are not guaranteed to share the same energy, adding difficulties in exploring the intrinsic properties of Weyl nodal loops.…”

Section: ■ Introductionmentioning

confidence: 99%

Weyl Monoloop Semi-Half-Metal and Tunable Anomalous Hall Effect

et al. 2021

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Nodal monoloop, enjoying the cleanest scenario with a single loop, is recognized as the basic building block of intricate linked loops including chains, nets, and knots. Here, we explore the interplay of magnetic ordering and band topology in one system by introducing a brand-new quantum state, referred to as Weyl monoloop semi-half-metal, which is characterized by a single loop at the Fermi level stemming from the same spin channel. Such a nodal line Fermion, yielding 100% spin polarization, is protected by mirror ( ) symmetry. As a prominent example, a realistic rutile-type metal fluorides LiV2F6 achieves the hitherto unmaterialized state, featuring fully spin-polarized ultraflat surface states. More interestingly, LiV2F6 has a “soft” ferromagnetic property, which is one of the desired systems to control the anomalous Hall effect by rotating the magnetization direction. Our findings offer a promising candidate for exploring the topology and magnetism with intriguing effects.

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Anomalous Hall optical conductivity in tilted topological nodal-line semimetals

Cited by 9 publications

References 42 publications

Anisotropic optical conductivities of model topological nodal-line semimetals

Anisotropic optical conductivities of model topological nodal-line semimetals

Optical Response of 3D Model Topological Nodal-line Semimetal

Weyl Monoloop Semi-Half-Metal and Tunable Anomalous Hall Effect

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