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Pair density waves in superconducting vortex halos

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [1];  [5]
  1. Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Physics and Inst. for Condensed Matter Theory
  2. Stanford Univ., CA (United States). Dept. of Applied Physics; Cornell Univ., Ithaca, NY (United States). LASSP, Dept. of Physics
  3. Harvard Univ., Cambridge, MA (United States). Dept. of Physics; Cornell Univ., Ithaca, NY (United States). LASSP, Dept. of Physics
  4. Cornell Univ., Ithaca, NY (United States). LASSP, Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). CMPMS Dept.; Univ. of St. Andrews, Scotland (United Kingdom). School of Physics
  5. Stanford Univ., CA (United States). Dept. of Physics
We analyze the interplay between a d -wave uniform superconducting and a pair-density-wave (PDW) order parameter in the neighborhood of a vortex. We develop a phenomenological nonlinear sigma model, solve the saddle-point equation for the order-parameter configuration, and compute the resulting local density of states in the vortex halo. The intertwining of the two superconducting orders leads to a charge density modulation with the same periodicity as the PDW, which is twice the period of the charge density wave that arises as a second harmonic of the PDW itself. Lastly, we discuss key features of the charge density modulation that can be directly compared with recent results from scanning tunneling microscopy and speculate on the role PDW order may play in the global phase diagram of the hole-doped cuprates.
Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
Gordon and Betty Moore Foundations; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-76SF00515; SC0012704
OSTI ID:
1458470
Alternate ID(s):
OSTI ID: 1437088
OSTI ID: 1462406
Report Number(s):
BNL--207875-2018-JAAM
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 17 Vol. 97; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Checkerboard order in vortex cores from pair-density-wave superconductivity text January 2014
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Nematicity in stripe ordered cuprates probed via resonant x-ray scattering text January 2016
Ideal charge density wave order in the high-field state of superconducting YBCO text January 2016
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Cited By (11)

Proposal to measure the pair field correlator of a fluctuating pair density wave journal January 2019
Signatures of a pair density wave at high magnetic fields in cuprates with charge and spin orders text January 2019
Modeling the pseudogap metallic state in cuprates: Quantum disordered pair density wave journal February 2020
Pair-density waves, charge-density waves, and vortices in high- T c cuprates journal May 2018
Fragile superconductivity in the presence of weakly disordered charge density waves journal April 2019
Unusual Interplay between Superconductivity and Field-Induced Charge Order in YBa 2 Cu 3 O y journal October 2018
Mass hierarchy in collective modes of pair-density-wave superconductors journal January 2020
Evidence of pair-density wave in spin-valley locked systems journal March 2019
Magnetic field–induced pair density wave state in the cuprate vortex halo journal June 2019
Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo text January 2018
Fragile superconductivity in the presence of weakly disordered charge density waves text January 2018

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