Multipolar superconductivity in Luttinger semimetals

Sim, GiBaik; Mishra, Archana; Park, Moon Jip; Kim, Yong Baek; Cho, Gil Young; Lee, SungBin

doi:10.1103/physrevresearch.2.023416

Cited by 9 publications

(3 citation statements)

References 70 publications

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“…We immediately find that the winding number of each solid and dashed nodal line is 1 and − 1 respectively. Similarly, the condition λ 0 (k) = 0 defines the nodal surface, often referred to as Bogoliubov Fermi surface [27][28][29][30][31][32][33][34][35][36] . Unlike the nodal lines, the Bogoliubov Fermi surface, characterized by λ 0 (k) = 0, is topologically trivial.…”

Section: Resultsmentioning

confidence: 99%

Topological triplet-superconductivity in spin-1 semimetal

2022

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Superconductivity in topological semimetals gives a new paradigm of unconventional superconductors. Their exotic gap structures and topological properties have fascinated searching for material realizations and applications. In this work, we focus on a triple point semimetal where quasiparticle excitations, triple point fermions, carry the effective integer spin-1 in two distinct valleys. Our work demonstrates that the triple point fermion stabilizes inter-valley s-wave spin-triplet pairing. This is due to Fermi statistics, which strictly forbids the formation of inter-valley s-wave spin-singlet pairings. This feature is clearly distinct from the BCS and other multi-band superconductors. We find that two distinct inter-valley s-wave spin-triplet superconductors are allowed which in principle can be controlled by tuning the chemical potential: time-reversal symmetric (sz) state with topologically protected nodal lines and time-reversal broken (sx + isy) state with topologically protected Bogoliubov Fermi surfaces. Our study provides guidance in searching for spin-triplet superconductivity.

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Section: Resultsmentioning

confidence: 99%

Topological triplet-superconductivity in spin-1 semimetal

2022

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“…An important question that must be addressed for the Majorana-Fermi surface we find in this work is stability to interactions. Similar states with gapless surfaces in threedimensional Kitaev models [85][86][87][88][89][90][91][92], as "Bogoliubov-Fermi" surfaces. For these systems, the absence of this kind of (effective) nesting symmetry precluded such an instability.…”

Section: Stabilitymentioning

confidence: 97%

Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model

Chari,

Moessner,

Rau

2020

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We study the effects of static magnetic and electric fields on Kitaev's honeycomb model. Using the electric polarization operator appropriate for Kitaev materials, we derive the effective Hamiltonian for the emergent Majorana fermions to second-order in both the electric and magnetic fields. We find that while individually each perturbation does not qualitatively alter Kitaev spin liquid, the cross-term induces a finite chemical potential at each Dirac node, giving rise to a Majorana-Fermi surface. We argue this gapless phase is stable and exhibits typical metallic phenomenology, such as linear in temperature heat capacity and finite, but non-quantized, thermal Hall response. Finally, we speculate on the potential for realization of this physics in Kitaev materials.

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“…A quadratic band touching at the Gamma point in the Brillouin zone naturally hosts a large density of states (DOS), and interaction/disorder effects are significantly enhanced [12][13][14][15][16][17]. Not only interesting normal states but also novel superconducting states are predicted, [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. In addition to the traditional gap structures with a full gap, a point-nodal gap, and a line-nodal gap, a Fermi-surface of Bogoliubov (BG) quasiparticles in a superconducting state, a so-called Bogoliubov Fermisurface (BG-FS) [19,[33][34][35][36] has been demonstrated.…”

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confidence: 99%

Using Disorder to Identify Bogoliubov Fermi-Surface States

Oh,

Agterberg,

Moon

2021

Preprint

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We argue that a superconducting state with a Fermi-surface of Bogoliubov quasiparticles, a Bogoliubov Fermi-surface (BG-FS), can be identified by the dependence of physical quantities on disorder. In particular, we show that a linear dependence of the residual density of states at weak disorder distinguishes a BG-FS state from other nodal superconducting states. We further demonstrate the stability of supercurrent against impurities and a characteristic Drude-like behavior of the optical conductivity. Our results can be directly applied to electron irradiation experiments on candidate materials of BG-FSs, including Sr2RuO4, FeSe1−xSx, and UBe13.

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Multipolar superconductivity in Luttinger semimetals

Cited by 9 publications

References 70 publications

Topological triplet-superconductivity in spin-1 semimetal

Topological triplet-superconductivity in spin-1 semimetal

Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model

Using Disorder to Identify Bogoliubov Fermi-Surface States

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