Universität zu Köln

Jian, Shao-Kai, Scherer, Michael M. ORCID: 0000-0003-0766-9949 and Yao, Hong ORCID: 0000-0003-2867-6144 (2020). Mass hierarchy in collective modes of pair-density-wave superconductors. Phys. Rev. Res., 2 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564

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Abstract

We study collective modes near the quantum critical point of a pair-density-wave (PDW) superconductor in two-dimensional Dirac systems. The fate of gaps of various collective modes is investigated by functional renormalization. For incommensurate PDW superconductors, we show that the gapless Leggett mode, protected by the emergent U(1) symmetry, can induce an exponentially small Higgs mass compared to the superconducting gap. Further, for commensurate PDW superconductors, we find an emergent mass hierarchy in the collective modes, i.e., the masses of Leggett boson, Higgs boson, and the superconducting gap can differ by several magnitudes in the infrared. This may shed light on a mechanism underlying the hierarchy problem in the standard model of particle physics.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Jian, Shao-Kai UNSPECIFIED UNSPECIFIED UNSPECIFIED Scherer, Michael M. UNSPECIFIED orcid.org/0000-0003-0766-9949 UNSPECIFIED Yao, Hong UNSPECIFIED orcid.org/0000-0003-2867-6144 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-349038
DOI:	10.1103/PhysRevResearch.2.013034
Journal or Publication Title:	Phys. Rev. Res.
Volume:	2
Number:	1
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2643-1564
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GAUGE-INVARIANCE; RENORMALIZATION-GROUP; HIGGS MODE Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34903