Evidence for broken time-reversal symmetry in the superconducting phase of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi mathvariant="normal">URu</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">Si</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:math>

Schemm, Elizabeth; Baumbach, Ryan; Tobash, Paul H.; Ronning, F.; Bauer, E. D.; Kapitulnik, A.

doi:10.1103/physrevb.91.140506

Cited by 126 publications

(125 citation statements)

References 36 publications

(47 reference statements)

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“…A chiral (p x ± ip y )-wave superconductivity analogous to the 3 He A phase has been established in Sr 2 RuO 4 1,2 , and a chiral (d zx ± id yz )-wave superconductivity in URu 2 Si 2 has been identified by recent experimental studies [3][4][5][6][7] . Spontaneous time-reversal symmetry breaking characteristic of chiral superconductors has been observed in both compounds 5,6,8,9 . Furthermore, a recent polar Kerr rotation measurement detected broken time-reversal symmetry in UPt 3 10 , and thus a chiral superconducting (SC) state which belongs to the E 1u , E 2u , or E 1g representation is suggested.…”

Section: Introductionmentioning

confidence: 99%

Chiral superconductivity in nematic states

Takamatsu

Yanase

2015

Phys. Rev. B

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We investigate chiral superconductivity which occurs in the electronic nematic state. A vortex state in a c-axis magnetic field is studied on the basis of the two-component Ginzburg-Landau model for nematic-chiral superconductors. It is shown that various vortex lattice structures are stabilized by nontrivial cooperation of nematicity and chirality in superconductors. In particular, the vortex lattice structural transition occurs when a square anisotropy parameter ν is positive (negative) and the nematicity is induced along the [110] axis ([100] axis). We discuss nematic-chiral superconductivity in URu2Si2, Sr2RuO4, and UPt3. An experimental test for the examination of nematic order and chiral superconductivity is proposed.

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Section: Introductionmentioning

confidence: 99%

Chiral superconductivity in nematic states

Takamatsu

Yanase

2015

Phys. Rev. B

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“…The fact that it also hosts unconventional superconductivity makes this material even more attractive. Recent success in producing high quality specimens [5][6][7] has resulted in a surge of experimental work, including electronic Raman spectroscopy [8], elastoresistance [9], resonant ultrasound [10], Kerr rotation [11], X-ray scattering [12], and quantum oscillation measurements [13][14][15], which have provided unprecedented insight into the electronic, ordered state, and superconducting behavior. However, progress is limited by restricted access to high quality specimens, particularly due to challenges that are inherent to the mainstream growth techniques.…”

Section: Introductionmentioning

confidence: 99%

Single Crystal Growth of URu2Si2 by the Modified Bridgman Technique

et al. 2016

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Abstract:We describe a modified Bridgman growth technique to produce single crystals of the strongly correlated electron material URu 2 Si 2 and its nonmagnetic analogue ThRu 2 Si 2 . Bulk thermodynamic and electrical transport measurements show that the properties of crystals produced in this way are comparable to those previously synthesized using the Czochralski or conventional molten metal flux growth techniques. For the specimens reported here, we find residual resistivity ratios RRR = ρ 300K /ρ 0 as large as 116 and 187 for URu 2 Si 2 and ThRu 2 Si 2 , respectively.

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“…However, superconductivity discovered in several Uranium based ferromagnetic compounds [3][4][5] indicates that the superconducting and ferromagnetic orders can also coexist. The muon spin rotation (µSR) experiments in systems such as the B phase of UPt 3 [6], Sr 2 RuO 4 [7], LaNiC 2 [8], LaNiGa 2 [9], SrPtAs [10,11] and URu 2 Si 2 [12,13] suggest that the time-reversal symmetry can be spontaneously broken in the superconducting phase. In this work, we propose that in Nb-doped bismuth selenide (Bi 2 Se 3 ), ferromagnetism can be induced by chiral topological superconductivity and result in a three-dimensional Weyl topological superconductor.…”

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confidence: 99%

Superconductivity-induced ferromagnetism and Weyl superconductivity in Nb-doped Bi2Se3

Yuan

Law

2017

Phys. Rev. B

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A recent experiment on Nb-doped Bi2Se3 showed that zero field magnetization appears below the superconducting transition temperature. This gives evidence that the superconducting state breaks time-reversal symmetry spontaneously and is possibly in the chiral topological phase. This is in sharp contrast to the Cu-doped case which is possibly in the nematic phase and breaks rotational symmetry spontaneously. By deriving the free energy of the system from a microscopic model, we show that the magnetic moments of the Nb atoms can be polarized by the chiral Cooper pairs and enlarge the phase space of the chiral topological phase compared to the nematic phase. We further show that the chiral topological phase is a Weyl superconducting phase with bulk nodal points which are connected by surface Majorana arcs.Introduction-Superconductivity and ferromagnetism are conventionally considered to be two competing orders, especially in time-reversal invariant superconductors [1, 2]. However, superconductivity discovered in several Uranium based ferromagnetic compounds [3][4][5] indicates that the superconducting and ferromagnetic orders can also coexist. [18,19], it was found that Cu-doped Bi 2 Se 3 were superconducting [20][21][22]. It was proposed by Fu and Berg that these superconducting Cu-doped Bi 2 Se 3 were in the odd-parity topological phase with Majorana surface states [23]. The Majorana surface states were supposed to induce zero bias conductance peaks in tunneling experiments [24] but negative results were also found [25]. Interestingly, the Knight shift experiments [26] showed that spin-susceptibility of the material has a two-fold in-plane rotational symmetry which breaks the three-fold rotational symmetry of the basal plane. This motivated Fu to propose that the superconducting Cu-doped Bi 2 Se 3 is in the so-called nematic phase which spontaneously breaks the three-fold rotational symmetry down to a two-fold symmetry [27]. In a more recent measurement, the two-fold dependence of the specific heat on the applied in-plane magnetic field was found which also supports the superconducting nematic phase scenario [28].The superconducting nematic phase belongs to the E u representation of the D 3d point group [23]. Interestingly,

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Evidence for broken time-reversal symmetry in the superconducting phase ofURu2Si2

Cited by 126 publications

References 36 publications

Chiral superconductivity in nematic states

Chiral superconductivity in nematic states

Single Crystal Growth of URu2Si2 by the Modified Bridgman Technique

Superconductivity-induced ferromagnetism and Weyl superconductivity in Nb-doped Bi2Se3

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