Topologically stable gapped state in a layered superconductor

Cariglia, Marco; Vargas-Paredes, Alfredo A.; Doria, Mauro M.

doi:10.1209/0295-5075/105/31002

Cited by 8 publications

(11 citation statements)

References 60 publications

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“…Thus the state has a lower symmetry than the theory itself, a situation commonly seen in physics in the context of the Goldstone theorem 52 . The three term decomposition of the kinetic energy is general and can be applied in other situations such as in the Ginzburg-Landau approach to layered superconductors [53][54][55][56][57] where the pseudogap can be interpreted as a topological state 58 .…”

Section: The Weyl State and The Breaking Of The Space-time Symmetriesmentioning

confidence: 99%

The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model

Doria

2019

Eur. Phys. J. B

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A Drude-Sommerfeld topological model (DSTM) is proposed to describe Weyl fermions under residual collisions. They are nearly free and dressed by their own weak magnetic field that breaks the reflection and time symmetries around a layer. This weak magnetic field brings topological stability to the states through a non-trivial Chern-Simons number which is here calculated in the limit of a Dirac linear spectrum. The Weyl fermions display an energy gap and much above this gap the spectrum becomes Dirac linear. They are obtained from a Schroedinger like hamiltonian for particles with spin and magnetic energy which are momentum confined to a layer 1 . The electrical and the thermal conductivities of the Weyl fermions as well as the corresponding Wiedemman-Franz law are derived in the framework of a constant relaxation time. The Lorenz number coefficient acquires asymptotic value 6.5552 times the bulk value of π 2 /3. The relaxation time is shown to be renormalized by the inverse of the square of the gap, and so, leads to a ballistic regime in the linear Dirac spectrum limit.

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Section: The Weyl State and The Breaking Of The Space-time Symmetriesmentioning

confidence: 99%

The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model

Doria

2019

Eur. Phys. J. B

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“…Although the above scheme contains the basic sought ideas, it does not unfold the topological stable solutions that exist in the layered system. To unveil them a dual view of the kinetic energy [21] must be obtained, as shown in the next section.…”

Section: The Theorymentioning

confidence: 99%

“…Recently we have shown that an above the homogeneous (normal) state gap and the broken symmetries can be understood in the context of an order parameter description, and for this reason, suggested this interpretation for the pseudogap [21]. Thus the pseudogap is a gapped topological state made of skyrmions, whose microscopic nature is still controversial.…”

Section: Introductionmentioning

confidence: 98%

Is the pseudogap a topological state?

Vargas-Paredes

Cariglia

Doria

2015

Journal of Magnetism and Magnetic Materials

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We conjecture that the pseudogap is an inhomogeneous condensate above the homogeneous state whose existence is granted by topological stability. We consider the simplest possible order parameter theory that provides this interpretation of the pseudogap and study its angular momentum states. The normal state gap density, the breaking of the time reversal symmetry and the checkerboard pattern are naturally explained under this view. The pseudogap is a lattice of skyrmions and the inner weak local magnetic field falls below the experimental threshold of observation given by NMR/NQR and µSR experiments.

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“…The carriers have spin, charge, and an effective p-1 arXiv:1708.05491v1 [cond-mat.supr-con] 18 Aug 2017 mass in the kinetic energy described by the non-relativistic gauge invariant Schroedinger equation. We show that these electronic states can display a Dirac linear spectrum by becoming Weyl states [24], which are two-dimensionally confined in momentum but not in position space. The Weyl equation is reinterpreted here according to its space and time symmetries and shown to have a cutoff in momentum space, such that a linear dispersion spectrum exists much above it.…”

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confidence: 93%

Weyl states and Fermi arcs in parabolic bands

Doria¹,

Perali²

2017

EPL

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Weyl fermions are shown to exist inside a parabolic band, where the kinetic energy of carriers is given by the non-relativistic Schroedinger equation. There are Fermi arcs as a direct consequence of the folding of a ring shaped Fermi surface inside the first Brillouin zone. Our results stem from the decomposition of the kinetic energy into the sum of the square of the Weyl state, the coupling to the local magnetic field and the Rashba interaction. The Weyl fermions break the time and reflection symmetries present in the kinetic energy, thus allowing for the onset of a weak three-dimensional magnetic field around the layer. This field brings topological stability to the current carrying states through a Chern number. In the special limit that the Weyl state becomes gapless this magnetic interaction is shown to be purely attractive, thus suggesting the onset of a superconducting condensate of zero helicity states.

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Topologically stable gapped state in a layered superconductor

Cited by 8 publications

References 60 publications

The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model

The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model

Is the pseudogap a topological state?

Weyl states and Fermi arcs in parabolic bands

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