Rare-earth–boron bonding and 4f state trends in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">R</mml:mi><mml:msub><mml:mi mathvariant="normal">B</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>tetraborides

Yin, Zhiping; Pickett, Warren E.

doi:10.1103/physrevb.77.035135

Cited by 46 publications

(40 citation statements)

References 65 publications

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“…This result is expected from the 3D crystal structure: the smallest distance between the Tm ions along the c-axis is 3.987Å while the corresponding in plane distance is 3.64Å [6]. Further support comes from band structure calculations [27] and quantum oscillation measurements on the related compound YB 4 [28], which show that the Fermi surface is 3D.…”

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confidence: 54%

Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnetTmB4

et al. 2016

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We study TmB 4 , a frustrated magnet on the Archimedean Shastry-Sutherland lattice, through magnetization and transport experiments. The lack of anisotropy in resistivity shows that TmB 4 is an electronically three-dimensional system. The magnetoresistance (MR) is hysteretic at lowtemperature even though a corresponding hysteresis in magnetization is absent. The Hall resistivity shows unconventional anomalous Hall effect (AHE) and is linear above saturation despite a large MR. We propose that complex structures at magnetic domain walls may be responsible for the hysteretic MR and may also lead to the AHE.Geometric frustration in magnetic systems arises from competing magnetic interactions that cannot be satisfied simultaneously and leads to a variety of exotic ground states [1]. While insulating frustrated materials are well studied, metallic systems have received less attention [2]. In metallic materials, the conduction electrons mediate interactions between the magnetic moments. Additionally, the transport properties in such systems can be strongly influenced by the magnetic structure [1]. This interplay between magnetism and charge can be exploited in two ways: to engineer a highly field tunable response of the transport properties [3] or to use transport experiments as an indirect probe of the complex magnetic structures that arise in such systems [4,5].The rare earth tetraboride family (RB 4 , R is a rare earth) is a series of metallic frustrated magnets. RB 4 crystallizes in a tetragonal structure (space group P4/mbm, 127) [6], consisting of alternating layers of R and B ions (Fig 1(a)). The R ions form a frustrated Shastry-Sutherland lattice (SSL) with competing interactions J 1 and J 2 [7]. Quite remarkably, high resolution structural refinement of LaB 4 [8] and HoB 4 [9] show that the R-R bonds corresponding to J 1 and J 2 are equal in length, making the R-sublattice a rare physical realization of one of the eleven Archimedean lattices [10] (Fig. 1(b)). While other frustrated Archimedean lattices such as the triangular and Kagomé lattices are well studied [10,11], the RB 4 family is the only known realization of the Archimedean Shastry-Sutherland lattice.In this article, we use magnetization and transport experiments to study TmB 4 , a member of the RB 4 family that has attracted attention for its rich phase diagram [13][14][15][16] (Fig. 1(c)). Crystal field effects at the Tm

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confidence: 54%

Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnetTmB4

et al. 2016

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“…The set of parameters is similar for both fits, though there is a factor of 4-5 difference in carrier densities that optimize the longitudinal and transverse fits. We hypothesize that the lack of convergence is related to the Fermi surface's being composed of more than two bands [9]. However, higher order fitting is not a satisfactory proof of this, given the large number of parameters it introduces.…”

Section: B Hall Resistivity Of Erbmentioning

confidence: 95%

“…In the ab plane of the unit cell there are four R ions, located at (0.318a, 0.818a), (0.182a, 0.318a), (0.818a, 0.682a) and (0.682a, 0.182a), where a is the lattice parameter (the complete boron network is described elsewhere [9]). While the 4f electrons of the R ions are localized in a frustrated configuration, the 5d electrons from R and 2p from B act as itinerant carriers [9]. As with other SSL systems, the key parameters determining the frustration are the antiferromagnetic exchange J 1 and J 2 (J 1 ,J 2 > 0) on diagonal and square bonds on alternating tiles [10].…”

Section: Introductionmentioning

confidence: 99%

“…The a and c lattice constants are 7.071 and 4.000Å, respectively, for ErB 4 and 7.057 and 3.987Å, respectively, for TmB 4 . In both materials the magnetic structure repeats uniformly in layers along the c axis [9,18]. One view of the difference between the two systems is the connectivity of the spins: in ErB 4 the spins on the diagonal bonds are antiparallel, while in TmB 4 they are parallel.…”

Section: Introductionmentioning

confidence: 99%

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Electronic transport on the Shastry-Sutherland lattice in Ising-type rare-earth tetraborides

Suzuki

Checkelsky

2017

Phys. Rev. B

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In the presence of a magnetic field frustrated spin systems may exhibit plateaus at fractional values of saturation magnetization. Such plateau states are stabilized by classical and quantum mechanisms including order by disorder, triplon crystallization, and various competing order effects. In the case of electrically conducting systems, free electrons represent an incisive probe for the plateau states. Here we study the electrical transport of Ising-type rare-earth tetraborides RB 4 (R = Er, Tm), a metallic Shastry-Sutherland lattice showing magnetization plateaus. We find that the longitudinal and transverse resistivities reflect scattering with both the static and the dynamic plateau structure. We model these results consistently with the expected strong uniaxial anisotropy on a quantitative level, providing a framework for the study of plateau states in metallic frustrated systems.

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“…64 It is therefore clear that some questions about the stability and electronic structure of CaB 4 still remain unanswered. In addition, to our knowledge there is no evidence of a pressure-induced phase transition from ThB 4 -type calcium tetraboride.…”

Section: 66mentioning

confidence: 99%

Stability and superconductivity of Ca-B phases at ambient and high pressure

Shah

Kolmogorov

2013

Phys. Rev. B

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In the search for MgB2-like phonon-mediated superconductors we have carried out a systematic density functional theory study of the Ca-B system, isoelectronic to Mg-B, at ambient and gigapascal pressures. A remarkable variety of candidate high-pressure ground states have been identified with an evolutionary crystal structure search, including a stable alkaline-earth monoboride oI8-CaB, a superconductor with an expected critical temperature (Tc) of 5.5 K. We have extended our previous study of CaB6 [Phys. Rev. Lett. 108, 102501 (2012)] to nearby stoichiometries of CaB6+x, finding that extra boron further stabilizes the proposed B24 units. Here an explanation is given for the transformation of cP7-CaB6 into the more complex oS56 and tI56 polymorphs at high pressure. The stability of the known metallic tP20 phase of CaB4 at ambient pressure is explained from a crystal structure and chemical bonding point of view. The tP20 structure is shown to destabilize at 19 GPa relative to a semiconducting MgB4-like structure due to chemical pressure from the metal ion. The hypothetical AlB2-type structure of CaB2, previously shown to have favorable superconducting features, is demonstrated here to be unstable at all pressures; two new metallic CaB2 polymorphs with unusual boron networks stabilize at elevated pressures above 8 GPa but are found to have very low critical temperatures (Tc ∼ 1 K). The stability of all structures has been rationalized through comparison with alkaline-earth analogs, emphasizing the importance of the size of the metal ion for the stability of borides. Our study illustrates the inverse correlation between the thermodynamic stability and superconducting properties and the necessity to carefully examine both in the design of new synthesizable superconducting materials.

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Rare-earth–boron bonding and 4f state trends inRB4tetraborides

Cited by 46 publications

References 65 publications

Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnetTmB4

Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnetTmB4

Electronic transport on the Shastry-Sutherland lattice in Ising-type rare-earth tetraborides

Stability and superconductivity of Ca-B phases at ambient and high pressure

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