Symmetry-imposed shape of linear response tensors

Seemann, Marten; Ködderitzsch, D.; Wimmer, Sebastian; Ebert, H.

doi:10.1103/physrevb.92.155138

Cited by 190 publications

(182 citation statements)

References 30 publications

Supporting

Mentioning

170

Contrasting

Unclassified

Order By: Relevance

“…Whereas the results of [1] and [2] agree for H=0, some of the results obtained in [2] for the effects linear in H are at odds with generally accepted results. The procedure used in [1] makes it easy to separate tensors into two parts being invariant and changing sign under 1', respectively.…”

Section: Ms19-p18contrasting

confidence: 45%

“…This allows a high flexibility of the structure symmetry with pressure, temperature and other conditions affecting the weak N-H...I hydrogen bonds, which maintain this cation inside the cubooctahedron. Indeed, the different tetragonal space groups, such as I4/mcm [1][2][3][4], I4cm [5,6] and I4/m [7], were reported previously even in the room temperature phase. MAPbI 3 is structurally unstable at ambient conditions.…”

Section: Ms19-p18mentioning

confidence: 99%

“…The procedure used in [1] makes it easy to separate tensors into two parts being invariant and changing sign under 1', respectively. Whereas [2] considers both parts as forming a single tensor, it will be shown that considering the two parts (which can be measured separately) as independent tensors leads to simpler and stronger results.…”

Section: Ms19-p18mentioning

confidence: 99%

See 2 more Smart Citations

Organic-inorganic hybrid perovskite CH₃NH₃PbI₃: structural consequences of water absorption

Arakcheeva¹,

Chernyshov²,

Spina³

et al. 2016

Acta Cryst Sect A

View full text Add to dashboard Cite

Section: Ms19-p18contrasting

confidence: 45%

Section: Ms19-p18mentioning

confidence: 99%

See 1 more Smart Citation

Organic-inorganic hybrid perovskite CH₃NH₃PbI₃: structural consequences of water absorption

Arakcheeva¹,

Chernyshov²,

Spina³

et al. 2016

Acta Cryst Sect A

View full text Add to dashboard Cite

“…The AHE requires not only the broken time-reversal symmetry but also a certain type of magnetic structure 18,19 . Furthermore, the situation changes depending on the presence or absence of the spin-orbit (S-O) coupling.…”

Section: Introductionmentioning

confidence: 99%

Cluster multipole theory for anomalous Hall effect in antiferromagnets

et al. 2017

View full text Add to dashboard Cite

We introduce a cluster extension of multipole moments to discuss the anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic (AFM) states in a unified framework. We first derive general symmetry requirements for the AHE in the presence or absence of the spin-orbit coupling, by considering the symmetry of the Berry curvature in k space. The cluster multipole (CMP) moments are then defined to quantify the macroscopic magnetization in non-collinear AFM states, as a natural generalization of the magnetization in FM states. We identify the macroscopic CMP order which induces the AHE. The theoretical framework is applied to the non-collinear AFM states of Mn3Ir, for which an AHE was predicted in a first-principles calculation, and Mn3Z (Z=Sn, Ge), for which a large AHE was recently discovered experimentally. We further compare the AHE in Mn3Z and bcc Fe in terms of the CMP. We show that the AHE in Mn3Z is characterized with the magnetization of a cluster octupole moment in the same manner as that in bcc Fe characterized with the magnetization of the dipole moment.

show abstract

“…In Table I we give the general form of the odd spin-conductivity tensors for Mn 3 Sn and Mn 3 Ir. These can be derived by considering all the symmetry operations and how they transform the spin-conductivity tensor [45][46][47]. These symmetry tensors presume the existence of SOC.…”

mentioning

confidence: 99%

Spin-Polarized Current in Noncollinear Antiferromagnets

et al. 2017

View full text Add to dashboard Cite

Noncollinear antiferromagnets, such as Mn3Sn and Mn3Ir, were recently shown to be analogous to ferromagnets in that they have a large anomalous Hall effect. Here we show that these materials are similar to ferromagnets in another aspect: the charge current in these materials is spin-polarized. In addition, we show that the same mechanism that leads to the spin-polarized current also leads to a transversal spin current, which has a distinct symmetry and origin from the conventional spin Hall effect. We illustrate the existence of the spin-polarized current and the transversal spin current by performing ab initio microscopic calculations and by analyzing the symmetry. Based on the spinpolarized current we propose an antiferromagnetic tunneling junction, analogous in functionality to the magnetic tunneling junction.Introduction. Spintronics is a field that studies phenomena in which both spin and charge degree of electron play an important role. Many of the key spintronics effects are based upon the existence of spin currents. Two main types of spin currents are utilized: the spin-polarized currents in ferromagnets (FMs) and the spin currents due to the spin Hall effect (SHE) which are transveral to the charge current and appear even in non-magnetic materials. The most important effects that originate from the spin-polarized currents in FMs are the giant and the tunneling magnetoresistance effects (GMR and TMR) [1][2][3] and the spin-transfer torque (STT) [4,5]. These effects are utilized in magnetic tunneling junctions (MTJs), which form the basic building block of a new type of solid state memory, the magnetic random access memory (MRAM) [6]. This memory is non-volatite and has speed and density comparable to the widely used dynamic random access memory. The SHE on the other hand is responsible (though other effects can contribute) for the spin-orbit torque (SOT) [7,8] in multilayer heterostructures, which can be used for efficient and fast switching of FM layers. The SOT is now also being explored for use in MRAMs [9,10].While spintronics has traditionally focused on FM and non-magnetic materials, in the past few years also antiferromagnetic (AFM) materials have attracted a considerable interest. AFMs offer some unique advantages compared to FMs, but are much less explored (see reviews [11][12][13]). AFMs have a very fast dynamics, which allows for switching on ps timescale [14][15][16]. Furthermore, there exists a wide range of AFM materials, including many insulators and semiconductors, multiferroics [17] and superconductors [18]. Utilizing (and also studying) AFMs is difficult, largely because the magnetic order in AFMs is hard to detect and to manipulate. Recently, electrical detection [19][20][21][22][23] and manipulation of the AFM order has been demonstrated [23,24], however, both detection and manipulation still remain challenging from a practical point of view.

show abstract

Symmetry-imposed shape of linear response tensors

Cited by 190 publications

References 30 publications

Organic-inorganic hybrid perovskite CH₃NH₃PbI₃: structural consequences of water absorption

Organic-inorganic hybrid perovskite CH₃NH₃PbI₃: structural consequences of water absorption

Cluster multipole theory for anomalous Hall effect in antiferromagnets

Spin-Polarized Current in Noncollinear Antiferromagnets

Contact Info

Product

Resources

About

Symmetry-imposed shape of linear response tensors

Cited by 190 publications

References 30 publications

Organic-inorganic hybrid perovskite CH3NH3PbI3: structural consequences of water absorption

Organic-inorganic hybrid perovskite CH3NH3PbI3: structural consequences of water absorption

Cluster multipole theory for anomalous Hall effect in antiferromagnets

Spin-Polarized Current in Noncollinear Antiferromagnets

Contact Info

Product

Resources

About

Organic-inorganic hybrid perovskite CH₃NH₃PbI₃: structural consequences of water absorption

Organic-inorganic hybrid perovskite CH₃NH₃PbI₃: structural consequences of water absorption