Introduction

Schmitt, Andreas

doi:10.1007/978-3-319-07947-9_1

Cited by 9 publications

(2 citation statements)

References 26 publications

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“…Minor variations in this phase can be compared to small ripples in a liquid. In the case of superconductors, these minute changes are referred to as Bogoliubov quasiparticles. , …”

Section: The Basics Of Topological Superconductivitymentioning

confidence: 99%

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Chemical Principles of Intrinsic Topological Superconductors

von Rohr

2023

Chem. Mater.

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The concept of topological superconductivity has attracted immense interest in the physics community recently for several reasons: First, topological superconductors represent new phases of matter, which are topologically distinct from any other known phase of matter. Second, their discovery would enable the realization of the Majorana zero modes. Third, intrinsic topological superconductors promise to become important ingredients for next-generation quantum technologies. There are a handful of candidates to date considered as potential intrinsic topological superconductors. All of these display signs of unconventional, potentially topological superconductivity. However, the results from different experimental methods are inconclusive. One of the major challenges in the field of topological superconductivity has been the scarcity of potential materials, in contrast to the many exciting theoretical predictions of properties that could be unraveled by such a discovery. Currently, it should be fair to say that a material that convincingly displays intrinsic topological superconductivity and Majorana zero modes has so far not been discovered. This perspective aims to summarize the results of the most actively discussed potential topological superconductors for chemists. But, I will also compile the essential physical and chemical design principles of these materials from a chemists' perspective in order to motivate synthetic chemists to join the quest for the discovery of the first intrinsic topological superconductor.

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“…Minor variations in this phase can be compared to small ripples in a liquid. In the case of superconductors, these minute changes are referred to as Bogoliubov quasiparticles. , …”

Section: The Basics Of Topological Superconductivitymentioning

confidence: 99%

“…The ground state corresponds to total angular momentum zero, J = S + L = 0 (vector addition). The superfluid phases of helium have been studied extensively, and the interested reader is directed toward some of the excellent reviews on the topic for further details. ,, …”

Section: The Basics Of Topological Superconductivitymentioning

confidence: 99%

Chemical Principles of Intrinsic Topological Superconductors

von Rohr

2023

Chem. Mater.

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A multipole-expanded effective field theory for vortex ring-sound interactions

García-Sáenz

Mitsou

Nicolis

2018

J. High Energ. Phys.

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Abstract:The low-energy dynamics of a zero temperature superfluid or of the compressional modes of an ordinary fluid can be described by a simple effective theory for a scalar field -the superfluid 'phase'. However, when vortex lines are present, to describe all interactions in a local fashion one has to switch to a magnetic-type dual two-form description, which comes with six degrees of freedom (in place of one) and an associated gauge redundancy, and is thus considerably more complicated. Here we show that, in the case of vortex rings and for bulk modes that are much longer than the typical ring size, one can perform a systematic multipole expansion of the effective action and recast it into the simpler scalar field language. In a sense, in the presence of vortex rings the non-single valuedness of the scalar can be hidden inside the rings, and thus out of the reach of the multipole expansion. As an application of our techniques, we compute by standard effective field theory methods the sound emitted by an oscillating vortex ring.

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Roton-phonon excitations in Chern-Simons matter theory at finite density

Kumar

Roychowdhury

Stratiev

2018

J. High Energ. Phys.

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We consider SU (N ) Chern-Simons theory coupled to a scalar field in the fundamental representation at strictly zero temperature and finite chemical potential for the global U (1) B particle number or flavour symmetry. In the semiclassical regime we identify a Bose condensed ground state with a vacuum expectation value (VEV) for the scalar accompanied by noncommuting background gauge field matrix VEVs. These matrices coincide with the droplet ground state of the Abelian quantum Hall matrix model. The ground state spontaneously breaks U (1) B and Higgses the gauge group whilst preserving spatial rotations and a colour-flavour locked global U (1) symmetry. We compute the perturbative spectrum of semiclassical fluctuations for the SU (2) theory and show the existence of a single massless state with a linear phonon dispersion relation and a roton minimum (and maximum) determining the Landau critical superfluid velocity. For the massless scalar theory with vanishing self interactions, the semiclassical dispersion relations and location of roton extrema take on universal forms. arXiv:1806.06976v2 [hep-th]

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Introduction

Cited by 9 publications

References 26 publications

Chemical Principles of Intrinsic Topological Superconductors

Chemical Principles of Intrinsic Topological Superconductors

A multipole-expanded effective field theory for vortex ring-sound interactions

Roton-phonon excitations in Chern-Simons matter theory at finite density

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