Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

Ueland, B. G.; Miclea, C.; Kato, Yasuyuki; Ayala-Valenzuela, Oscar; McDonald, R. D.; Okazaki, Renji; Tobash, Paul H.; Torrez, Michael A.; Ronning, F.; Movshovich, R.; Fisk, Z.; Bauer, E. D.; Martin, Ivar; Thompson, J. D.

doi:10.1038/ncomms2075

Cited by 65 publications

(48 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This agreement provides strong additional evidence that the origin of r T xy is a THE in the AF1 phase due to the non-collinear magnetic structure that disappears as soon as the moments get aligned by the field. This is qualitatively different from the large geometrical Hall effect in the cubic heavy-fermion system UCu 5 , where the anomaly of r xy in the magnetically frustrated phase diminishes at a magnetic field of E7 T, independent of temperature 19 . In this case, the progression of a magnetically frustrated 4-q phase below T 2 ¼ 1.2 K and a coplanar 1-q phase above T 2 has been inferred from detailed magnetization and resistivity measurements.…”

Section: Discussionmentioning

confidence: 61%

“…A chirality mechanism was also proposed for noncoplanar cubic antiferromagnets with a distorted lattice 18 . In the cubic heavy-fermion metal UCu 5 with localized 5f moments a large geometrical Hall effect has been attributed to frustration-induced magnetic order without assuming spin-orbit scattering 19 . This suggests that a THE might also appear in non-cubic antiferromagnets with a non-trivial spin structure.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Large topological Hall effect in the non-collinear phase of an antiferromagnet

et al. 2014

View full text Add to dashboard Cite

Non-trivial spin arrangements in magnetic materials give rise to the topological Hall effect observed in compounds with a non-centrosymmetric cubic structure hosting a skyrmion lattice, in double-exchange ferromagnets and magnetically frustrated systems. The topological Hall effect has been proposed to appear also in presence of non-coplanar spin configurations and thus might occur in an antiferromagnetic material with a highly noncollinear and non-coplanar spin structure. Particularly interesting is a material where the non-collinearity develops not immediately at the onset of antiferromagnetic order but deep in the antiferromagnetic phase. This unusual situation arises in non-cubic antiferromagnetic Mn 5 Si 3 . Here we show that a large topological Hall effect develops well below the Néel temperature as soon as the spin arrangement changes from collinear to non-collinear with decreasing temperature. We further demonstrate that the effect is not observed when the material is turned ferromagnetic by carbon doping without changing its crystal structure.

show abstract

Section: Discussionmentioning

confidence: 61%

mentioning

confidence: 99%

Large topological Hall effect in the non-collinear phase of an antiferromagnet

et al. 2014

View full text Add to dashboard Cite

show abstract

“…11,12 In the highly correlated metal UCu 5 , a chirality-induced 'geometrical Hall effect' independent of SOC has been shown to occur due to antiferromagnetically-coupled localized 5f -electron spins. 13 In the helimagnets MnGe, MnSi, or FeGe hosting a skyrmion lattice, a THE is due to the winding of the spin texture and the Berry potential in real space. 14 In fact, in this case the THE is a hallmark of skyrmion formation and has been used to reveal depinning and motion of skyrmions.…”

Section: A Hall Effect In Noncollinear Magnetic Structuresmentioning

confidence: 99%

Anomalous Hall effect in the noncollinear antiferromagnet Mn5Si3

et al. 2016

View full text Add to dashboard Cite

Metallic antiferromagnets with noncollinear orientation of magnetic moments provide a playground for investigating spin-dependent transport properties by analysis of the anomalous Hall effect. The intermetallic compound Mn 5 Si 3 is an intinerant antiferromagnet with collinear and noncollinear magnetic structures due to Mn atoms on two inequivalent lattice sites. Here, magnetotransport measurements on polycrstalline thin films and a single crystal are reported. In all samples, an additional contribution to the anomalous Hall effect attributed to the noncollinear arrangment of magnetic moments is observed. Furthermore, an additional magnetic phase between the noncollinear and collinear regimes above a metamagnetic transition is resolved in the single crystal by the anomalous Hall effect. C 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

show abstract

“…Skyrmion lattices have recently been observed with spatial modulations up to 0.1µm [13,14]. Chiral textures lead to an anomalous Hall effect associated with huge (∼ 10 5 T ) effective magnetic fields, as predicted in the KL model with triangular lattice [15,16] and experimentally observed in Pr 2 Ir 2 O 7 [17] and UCu 5 [18]. Compared to ferromagnetism, these spin-textures can be very challenging to study.…”

mentioning

confidence: 99%

Efficient Langevin simulation of coupled classical fields and fermions

Barros

Kato

2013

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We introduce an efficient Langevin method to study bilinear fermionic Hamiltonians interacting with classical fields. Our approach is orders of magnitude faster than previous methods when applied to very large systems with high accuracy requirements. To demonstrate the method, we study complex non-coplanar chiral spin textures on the triangular Kondo lattice model. We also explore non-equilibrium mesoscale physics such as chiral domain coarsening and Z2 vortex annihilation.Lattice models of fermions interacting with classical fields encompass a wide range of physics. Popular examples in condensed matter include Kondo lattice (KL) models of itinerant electrons interacting with localized magnetic moments [1], Falicov-Kimball models of metal-insulator transitions in rare-earth materials [2] and Bogoliubov-De Gennes equations for superconductivity [3]. The Hubbard-Stratonovich transformation is another path to obtaining bilinear fermionic systems coupled to an auxiliary classical field [4,5]. This broad class of models poses a notoriously difficult numerical challenge: Monte Carlo (MC) sampling of the classical field requires repeated diagonalization of the single-particle fermion matrix.Several MC methods have been developed to more efficiently sample the classical field [6][7][8][9]. Spurred by colossal magnetoresistance (CMR) [10][11][12], these methods have largely been applied to the ferromagnetic transition in KL models at large coupling. This transition is relatively easy to study using moderate temperatures and small system sizes.Recent interest has shifted to exotic spin-textures, which would occur in KL models at small to moderate couplings. Skyrmion lattices have recently been observed with spatial modulations up to 0.1µm [13,14]. Chiral textures lead to an anomalous Hall effect associated with huge (∼ 10 5 T ) effective magnetic fields, as predicted in the KL model with triangular lattice [15,16] Compared to ferromagnetism, these spin-textures can be very challenging to study. High precision and large system sizes may be needed to capture the physics of low temperatures and effective long-range interactions. State of the art numerical methods are often impractical.In this Letter we introduce a suitable Langevin sampling method that is very efficient-the cost scales linearly with system size-at high accuracy. Our method is based on a non-trivial gradient transformation [19] of the kernel polynomial method (KPM) [20]. Below we outline our method and then demonstrate it with a study of the triangular KL model. Our lattices are large enough to uncover interesting non-equilibrium effects such as chiral domain coarsening and Z 2 vortex dynamics. In this way, we bridge the gap between quantum atomic scale and mesoscale physics.Our method applies to a general bilinear fermionic Hamiltonian coupled to continuous, classical degrees of freedom φ,with sparse matrix A. We work at fixed temperature β −1 and chemical potential µ. The partition function is a trace over classical and fermionic degrees of freedom,Evaluat...

show abstract

Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

Cited by 65 publications

References 38 publications

Large topological Hall effect in the non-collinear phase of an antiferromagnet

Large topological Hall effect in the non-collinear phase of an antiferromagnet

Anomalous Hall effect in the noncollinear antiferromagnet Mn5Si3

Efficient Langevin simulation of coupled classical fields and fermions

Contact Info

Product

Resources

About