Monopole charge density wave states in Weyl semimetals

Bobrow, Eric; Sun, Canon; Li, Yi

doi:10.1103/physrevresearch.2.012078

Cited by 10 publications

(3 citation statements)

References 60 publications

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“…Our work should motivate further studies of the monopole harmonic SCs, such as their competition with the insulating instabilities, particularly with those displaying the monopole structure [39]. Finally, observable consequences of these exotic states beyond the surface Majorana modes are yet to be explored, as, for instance, impurity resonances [40].…”

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confidence: 95%

Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence, and stability

2020

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Monopole harmonic superconductor, proposed in doped Weyl semimetals as a pairing between the Fermi surfaces enclosing the Weyl points, is rather unusual, as it features the monopole charge inherited from the parent topological metal. However, this state can compete with more conventional spherical harmonic pairings, such as an s-wave. We here demonstrate that the monopole superconductor and a more conventional spherical harmonic pairing phase quite generically repel one another. As we explicitly show, this feature is a direct consequence of the topological nature of monopole superconductor, and we dub it topological repulsion. Furthermore, the s-wave pairing is more stable both when the chemical potentials at the nodes are unequal, and in the presence of point-like charged impurities. Since the phase transition is discontinuous, close to the phase boundary, we predict the Majorana gapless modes at the interfaces between domains featuring the two phases as the experimental signature of the monopole superconductor.

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confidence: 95%

Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence, and stability

2020

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“…Another class of symmetry-breaking transitions is the formation of charge/spin-density waves with an ordering wave vector that connects two Weyl points(158)(159)(160).www.annualreviews.org • Fermiology of Topological Metals…”

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confidence: 99%

Fermiology of Topological Metals

Alexandradinata

Glazman

2023

Annu. Rev. Condens. Matter Phys.

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The modern scope of fermiology encompasses not just the classical geometry of Fermi surfaces but also the geometry of quantum wave functions over the Fermi surface. This enlarged scope is motivated by the advent of topological metals—metals whose Fermi surfaces are characterized by a robustly nontrivial Berry phase. We review the extent to which topological metals can be diagnosed from magnetic-field-induced quantum oscillations of transport and thermodynamic quantities. A holistic analysis of the oscillatory wave form is proposed, in which different characteristics of the wave form (e.g., phase offset, high-harmonic amplitudes, temperature-dependent frequency) encode different aspects of a topologically nontrivial Fermi surface. Which characteristic to focus on depends on ( a) the orientation of the magnetic field relative to certain crystallographic axes, ( b) the symmetry class of the topological metal, and ( c) the separation of Fermi-surface pockets in quasimomentum k space. Closely proximate pockets arise when (1) spin–split pockets are nearly overlapping due to a weak spin–orbit force or when (2) two pockets touch at an isolated k point, which can be a topological band-touching point or a saddlepoint in the energy-momentum dispersion. The emergence of a pseudospin degree of freedom (in case 1) and the implications of magnetic breakdown (in case 2) are reviewed, with emphasis on new aspects originating from the (nonabelian) Berry connection of the Fermi surface. Future extensions of topofermiology are suggested in the directions of interaction-induced Fermi-liquid instabilities and two-dimensional electron liquids. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 14 is March 2023. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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“…The obstructed pairing order can be understood in terms of the two-particle Berry phase of a Cooper pair [27], which necessitates a description of the topology and symmetry of the superconducting pairing order in terms of monopole harmonics rather than spherical harmonics, or monopole superconductivity [16]. This idea has been generalized to monopole density-wave order in the particle-hole channel [28] and to non-Abelian topological obstructions of the superconducting order characterized by Z 2 [19] and Euler [20] indices in the presence of time reversal and combined time reversal and inversion symmetry.…”

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Monopole Superconductivity in Magnetically Doped Cd$_3$As$_2$

Bobrow¹,

Li²

2022

Preprint

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When superconducting pairing occurs between Fermi surfaces with different Chern numbers, the Cooper pairs experience a nontrivial pair Berry phase and effective pair monopole charge that enforces nodal monopole harmonic superconducting order beyond the familiar s-, p-, and d-wave superconductors. When magnetically doped, the Dirac semimetal Cd3As2 features Fermi pockets enclosing Weyl nodes with chiralities χ = ±1, ±2. This material serves as a candidate platform for realizing monopole superconductivity with pair monopole charges qp = 1 or 2, depending on the chemical potential. We demonstrate the distinctions in the superconducting phase winding due to pairing with different pair monopole charges and due to pairings in different irreducible representations of the C 4h symmetry of magnetically doped Cd3As2. In all cases, the phase winding patterns are subject to the topologically invariant total phase winding, which depends only on the pair monopole charge and guarantees nodes in the superconducting order for qp > 0.

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Monopole charge density wave states in Weyl semimetals

Cited by 10 publications

References 60 publications

Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence, and stability

Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence, and stability

Fermiology of Topological Metals

Monopole Superconductivity in Magnetically Doped Cd$_3$As$_2$

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