Signatures of nematic superconductivity in doped 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Bi</mml:mi><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub><mml:mi>Se</mml:mi><mml:msub><mml:mrow /><mml:mn>3</mml:mn></mml:msub></mml:math>
 under applied stress

How, Pye Ton; Yip, Sungkit

doi:10.1103/physrevb.100.134508

Cited by 17 publications

(9 citation statements)

References 54 publications

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“…Hexagonal distortion was indeed reported in Sr x Bi 2 Se 3 [37]. The same can be expected in Cu x Bi 2 Se 3 [38]. Moreover, strains induced by quenching can vary from one sample to another.…”

Section: Discussionsupporting

confidence: 64%

Direction and symmetry transition of the vector order parameter in topological superconductors Cu$_x$Bi$_2$Se$_3$

Kawai,

Wang,

Kandori

et al. 2019

Preprint

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Topological superconductors have attracted wide-spreading interests for the bright application perspectives to quantum computing. Cu 0.3 Bi 2 Se 3 is a rare bulk topological superconductor with an odd-parity wave function, but the details of the vector order parameter d and its pinning mechanism are still unclear. We have succeeded in growing Cu x Bi 2 Se 3 single crystals with unprecedented high doping levels. For samples with x = 0.28, 0.36 and 0.37 with similar carrier density as evidenced by Knight shift, the in-plane upper critical field H c2 shows a two-fold symmetry. However, the angle at which the H c2 becomes minimal is different by 90 • among them, which indicates that the d-vector direction is different for each crystal likely due to a different local environment. The carrier density for x = 0.46 and 0.54 increases substantially compared to x ≤ 0.37. Surprisingly, the in-plane H c2 anisotropy disappears, indicating that the gap symmetry undergoes a transition from nematic to isotropic (possibly chiral) as carrier increases.

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Section: Discussionsupporting

confidence: 64%

Direction and symmetry transition of the vector order parameter in topological superconductors Cu$_x$Bi$_2$Se$_3$

Kawai,

Wang,

Kandori

et al. 2019

Preprint

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“…Coming back to the GL theories, they predict that T c linearly increases with increasing strain in either tensile or compressive directions, accompanied by a kink in T c ( ε x x ) at the strain where the nematic state changes between Δ 4 x and Δ 4 y 34 , 36 . This prediction, at first glance, seems to be inconsistent with our decreasing trend of T c with increasing ∣ ε x x ∣.…”

Section: Discussionmentioning

confidence: 98%

“…The coupling between the nematic superconductivity and uniaxial strain has been proposed using the Ginzburg-Landau (GL) formalism 34,36 . The strain couples to the nematic superconductivity through the free energy…”

Section: Discussionmentioning

confidence: 99%

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Uniaxial-strain control of nematic superconductivity in SrxBi2Se3

et al. 2020

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Nematic states are characterized by rotational symmetry breaking without translational ordering. Recently, nematic superconductivity, in which the superconducting gap spontaneously lifts the rotational symmetry of the lattice, has been discovered. In nematic superconductivity, multiple superconducting domains with different nematic orientations can exist, and these domains can be controlled by a conjugate external stimulus. Domain engineering is quite common in magnets but has not been achieved in superconductors. Here, we report control of the nematic superconductivity and their domains of Sr x Bi 2 Se 3 , through externallyapplied uniaxial stress. The suppression of subdomains indicates that it is the Δ 4y state that is most favoured under compression along the basal Bi-Bi bonds. This fact allows us to determine the coupling parameter between the nematicity and lattice distortion. These results provide an inevitable step towards microscopic understanding and future utilization of the unique topological nematic superconductivity.

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“…The main candidate for this pairing state is the odd-parity "p-wave" E u state, parametrized here by the two-component order parameter ∆ = (∆ 1 , ∆ 2 ) T [6,30,32,[34][35][36]. The nematic ground state corresponds to ∆ = ∆ 0 (cos γ, sin γ) T with γ restricted to three possible directions [7,37,38]. Using the product decomposition E u ⊗E u = A 1g ⊕A 2g ⊕E g , one identifies two possible real-valued bilinear combinations of ∆ that transform non-trivially under the point-group D 3d : the scalar Φ A2g = ∆ † τ y ∆, which breaks timereversal symmetry and vanishes in the nematic ground state, and the two-component order parameter:…”

Section: Introductionmentioning

confidence: 99%

Phonon-induced rotation of the electronic nematic director in superconducting Bi$_{2}$Se$_{3}$

Hecker,

Fernandes

2021

Preprint

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The doped topological insulator AxBi2Se3, with A = {Cu, Sr, Nb}, becomes a nematic superconductor below Tc ∼ 3 − 4 K. The associated electronic nematic director is described by an angle α and is experimentally manifested in the elliptical shape of the in-plane critical magnetic field Hc2. Because of the threefold rotational symmetry of the lattice, α is expected to align with one of three high-symmetry directions corresponding to the in-plane nearest-neighbor bonds, consistent with a Z3-Potts nematic transition. Here, we show that the nematic coupling to the acoustic phonons, which makes the nematic correlation length tend to diverge along certain directions only, can fundamentally alter this phenomenology in trigonal lattices. Compared to hexagonal lattices, the former possesses a sixth independent elastic constant c14 due to the fact that the in-plane shear strain doublet ( xx − yy , −2 xy ) and the out-of-plane shear strain doublet (2 yz , −2 xz ) transform as the same irreducible representation. We find that, when c14 overcomes a threshold value, which is expected to be the case in doped Bi2Se3, the nematic director α unlocks from the high-symmetry directions due to the competition between the quadratic phonon-mediated interaction and the cubic nematic anharmonicity. This implies the breaking of the residual in-plane twofold rotational symmetry (C2x), resulting in a triclinic phase. We discuss the implications of these findings to the structure of nematic domains and to the shape of the in-plane Hc2 in AxBi2Se3.

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Signatures of nematic superconductivity in doped Bi2Se3 under applied stress

Cited by 17 publications

References 54 publications

Direction and symmetry transition of the vector order parameter in topological superconductors Cu$_x$Bi$_2$Se$_3$

Direction and symmetry transition of the vector order parameter in topological superconductors Cu$_x$Bi$_2$Se$_3$

Uniaxial-strain control of nematic superconductivity in SrxBi2Se3

Phonon-induced rotation of the electronic nematic director in superconducting Bi$_{2}$Se$_{3}$

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