# Polar type density of states in non-unitary odd-parity superconducting states of gap with point nodes

Source: [Polar type density of states in non-unitary odd-parity superconducting states of gap with point nodes](<https://www.sota2.com/research/paper/68fa26062c2a3760193b5ef0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:06:39.502Z

Authors: K. Miyake

Published: 2003-02-16T04:35:12.000Z

## Abstract

It is shown that the density of states (DOS) proportional to the excitation energy, the so-called polar like DOS, can arise in the odd-parity states with the superconducting gap vanishing at points even if the spin-orbit interaction for Cooper pairing is strong enough. Such gap stuructures are realized in the non-unitary states, F\_{1u}(1,i,0), F\_{1u}(1,varepsilon,varepsilon^{2}), and F\_{2u}(1,i,0), classified by Volovik and Gorkov, Sov. Phys.-JETP Vol.61 (1985) 843. This is due to the fact that the gap vanishes in quadratic manner around the point on the Fermi surface. It is also shown that the region of quadratic energy dependence of DOS, in the state F\_{2u}(1,varepsilon,varepsilon^{2}), is restricted in very small energy region making it difficult to distinguish from the polar-like DOS.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0302318>)

[PDF](<https://arxiv.org/pdf/cond-mat/0302318.pdf>)