Journal
NEW JOURNAL OF PHYSICS
Volume 23, Issue 3, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1367-2630/abe15d
Keywords
superconducitivity; odd-frequency superconductivity; pair density waves; high temperature superconductors
Categories
Funding
- Swedish Research Council (Vetenskapsradet) [2018-03488]
- Knut and AliceWallenberg Foundation
- European Research Council (ERC) under the European Union [ERC-2017-StG-757553]
- Swedish Research Council [2018-03488] Funding Source: Swedish Research Council
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The coexistence of charge density waves and uniform superconductivity in d-wave superconductors generates an odd-frequency spin-singlet pair density wave, dependent on the modulation wave vector of the CDW, which can become comparable to even-frequency pair density waves in certain areas of the Brillouin zone. Experimental verification has also shown that superconductivity and uni-axial charge density waves can coexist at high magnetic fields.
Pair density waves, identified by Cooper pairs with finite center-of-mass momentum, have recently been observed in copper oxide based high T-c superconductors (cuprates). A charge density modulation or wave is also ubiquitously found in underdoped cuprates. Within a general mean-field one-band model we show that the coexistence of charge density waves (CDWs) and uniform superconductivity in d-wave superconductors like cuprates, generates an odd-frequency spin-singlet pair density wave, in addition to the even-frequency counterparts. The strength of the induced odd-frequency pair density wave depends on the modulation wave vector of the CDW, with the odd-frequency pair density waves even becoming comparable to the even-frequency ones in parts of the Brillouin zone. We show that a change in the modulation wave vector of the CDW from bi-axial to uni-axial, can enhance the odd-frequency component of the pair density waves. Such a coexistence of superconductivity and uni-axial CDW has already been experimentally verified at high magnetic fields in underdoped cuprates. We further discuss the possibility of an odd-frequency spin-triplet pair density wave generated in the coexistence regime of superconductivity and spin density waves, applicable to the iron-based superconductors. Our work thus presents a route to bulk odd-frequency superconductivity in high T-c superconductors.
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