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Title: Pair density waves in superconducting vortex halos

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.
Authors:
 [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
Publication Date:
Report Number(s):
BNL-207875-2018-JAAM
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:
DMR-1725401; EP/G03673X/1; AC02-76SF00515; GBMF4544; SC0012704
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 17; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Gordon and Betty Moore Foundations
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1458470
Alternate Identifier(s):
OSTI ID: 1437088; OSTI ID: 1462406

Wang, Yuxuan, Edkins, Stephen D., Hamidian, Mohammad H., Davis, J. C. Séamus, Fradkin, Eduardo, and Kivelson, Steven A.. Pair density waves in superconducting vortex halos. United States: N. p., Web. doi:10.1103/physrevb.97.174510.
Wang, Yuxuan, Edkins, Stephen D., Hamidian, Mohammad H., Davis, J. C. Séamus, Fradkin, Eduardo, & Kivelson, Steven A.. Pair density waves in superconducting vortex halos. United States. doi:10.1103/physrevb.97.174510.
Wang, Yuxuan, Edkins, Stephen D., Hamidian, Mohammad H., Davis, J. C. Séamus, Fradkin, Eduardo, and Kivelson, Steven A.. 2018. "Pair density waves in superconducting vortex halos". United States. doi:10.1103/physrevb.97.174510.
@article{osti_1458470,
title = {Pair density waves in superconducting vortex halos},
author = {Wang, Yuxuan and Edkins, Stephen D. and Hamidian, Mohammad H. and Davis, J. C. Séamus and Fradkin, Eduardo and Kivelson, Steven A.},
abstractNote = {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.},
doi = {10.1103/physrevb.97.174510},
journal = {Physical Review B},
number = 17,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}