Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

Khokhlov, D. A.; Akzyanov, R. S.

doi:10.1103/physrevb.104.214514

Cited by 6 publications

(3 citation statements)

References 53 publications

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“…As we show in our previous work, the non-zero δ can be caused in the nematic phase by the external magnetization [43]. The value of δ induced by the magnetization is small [44]. However, measurements of the currents in the Josephson junctions can be performed with high accuracy.…”

Section: Discussionmentioning

confidence: 82%

“…For the pure nematic superconductor, this term vanishes, δ = 0, while for the pure chiral superconductors δ = π/2 and the cosine is of importance. Theoretical analysis shows that the chiral superconducting phase can exist in the systems with an open Fermi surface [44,56], in thin films [57] or under magnetic doping of the nematic superconductor [58,59]. It is argued that in some experiments such a chiral phase with a finite magnetization has been observed [28,30].…”

Section: Discussionmentioning

confidence: 99%

“…The nematic superconductivity generated a great interest due to its unusual properties such as existence of Majorana Kramer's pairs [38,39], vestigial nematic order [40], surface Andreev bound states [41], unconventional collective modes [42], spontaneous strain [43], unusual magnetic response [44], and anisotropic quasiparticle interference [45,46]. A major of these effects are related to the vector nature of the order parameter.…”

Section: Introductionmentioning

confidence: 99%

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Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Akzyanov¹,

Rakhmanov²

2022

Preprint

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We study the physics of the Josephson effect in nematic superconductors with Eu odd parity in the Ginzburg-Landau approach. Two-component vector superconducting order parameter makes this effect rather unusual. We get that the Meissner kernel has off-diagonal components. We derive current-phase relations for different configurations of the junction, crystallographic axes of the sample, and nematicity direction. We show that an anomalous Josephson Hall effect can be observed in such a system without any magnetization. That is, for definite orientations of the junction and crystal axes, a component of the Josephson current along the junction is induced by the order parameter phase difference across the contact. We also calculate the magnetic field dependence of the maximum current through the junction. We find that the period of the Fraunhofer oscillations of the maximum Josephson current depends on the geometry of the junction, direction of the magnetic field, and nematicity vector.

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Section: Discussionmentioning

confidence: 82%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Akzyanov¹,

Rakhmanov²

2022

Preprint

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On the existence of nematic-superconducting states in the Ginzburg–Landau regime

De Leo,

Borgna,

García Ovalle

2024

Chaos, Solitons & Fractals

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Magnetisation control of the nematicity direction and nodal points in a superconducting doped topological insulator

Khokhlov,

Akzyanov,

Kapranov

2024

J. Phys.: Condens. Matter

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We study the effects of magnetisation on the properties of the doped topological insulator of the $\text{Bi}_2\text{Se}_3$ family with nematic superconductivity. We found that the direction of the in-plane magnetisation fixes the direction of the nematicity in the system. The chiral state is more favourable than the nematic state for large values of out-of-plane magnetisation. Overall, the critical temperature of the nematic superconductivity is robust against magnetisation. We explore in detail the spectrum of the system with the pinned direction of the nematic order parameter $\Delta_{y}$. Without magnetisation, there is a full gap in the spectrum because of finite hexagonal warping. At an out-of-plane $m_z$ or orthogonal in-plane $m_x$ magnetisation that is strong enough, the spectrum is closed at the nodal points that are split by the magnetisation. Flat Majorana surface states connect such split bulk nodal points. Parallel magnetisation $m_y$ lifts the nodal points and opens a full gap in the spectrum. We discuss relevant experiments and propose experimental verifications of our theory.

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Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

Cited by 6 publications

References 53 publications

Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

On the existence of nematic-superconducting states in the Ginzburg–Landau regime

Magnetisation control of the nematicity direction and nodal points in a superconducting doped topological insulator

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