Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in underdoped Bi2Sr2CaCu2O8+δ
Abstract
Superconducting phase transitions in two dimensions lie beyond the description of the Ginzburg-Landau symmetry-breaking paradigm for three-dimensional superconductors. They are Berezinskii-Kosterlitz-Thouless (BKT) transitions of paired-electron condensate driven by the unbinding of topological excitations, i.e. vortices. The recently discovered monolayers of layered high-transition-temperature ($$T$$C) cuprate superconductor Bi2Sr2CaCu2O8+$$δ$$ (Bi2212) meant that this 2D superconductor promised to be ideal for the study of unconventional superconductivity. But inhomogeneity posed challenges for distinguishing BKT physics from charge correlations in this material. Here, we utilize the phase sensitivity of scanning superconducting quantum interference device microscopy susceptometry to image the local magnetic response of underdoped Bi2212 from the monolayer to the bulk throughout its phase transition. The monolayer segregates into domains with independent phases at elevated temperatures below $$T$$C. Within a single domain, we find that the susceptibility oscillates with flux between diamagnetism and paramagnetism in a Fraunhofer-like pattern up to $$T$$C . The finite modulation period, as well as the broadening of the peaks when approaching from below, suggests well-defined vortices that are increasingly screened by the dissociation of vortex-antivortex plasma through a BKT transition. In the multilayers, the susceptibility oscillation differs in a small temperature regime below $$T$$C, consistent with a dimensional crossover led by interlayer coupling. Serving as strong evidence for BKT transition in the bulk, we observe a sharp jump in phase stiffness and paramagnetism at small fields just below $$T$$C. These results unify the superconducting phase transitions from the monolayer to the bulk underdoped Bi2212, and can be collectively referred to as the BKT transition with interlayer coupling.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 2333070
- Alternate Identifier(s):
- OSTI ID: 2290421; OSTI ID: 2315622
- Report Number(s):
- BNL-225339-2024-JAAM
Journal ID: ISSN 2095-5138; nwad249
- Grant/Contract Number:
- DOE-sc0012704; SC0012704; 11827805; 12150003; 11874115; U173227; 11527805
- Resource Type:
- Published Article
- Journal Name:
- National Science Review
- Additional Journal Information:
- Journal Name: National Science Review Journal Volume: 11 Journal Issue: 5; Journal ID: ISSN 2095-5138
- Publisher:
- Oxford University Press
- Country of Publication:
- China
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; cuprate superconductor; monolayer; Berezinskii-Kosterlitz-Thouless transition; scanning SQUID; paramagnetic Meissner effect
Citation Formats
Wang, Shiyuan, Yu, Yijun, Hao, Jinxiang, Liang, Keyi, Xiang, Bingke, Zhu, Jinjiang, Lin, Yishi, Pan, Yinping, Gu, Genda, Watanabe, Kenji, Taniguchi, Takashi, Qi, Yang, Zhang, Yuanbo, and Wang, Yihua. Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in underdoped Bi2Sr2CaCu2O8+δ. China: N. p., 2023.
Web. doi:10.1093/nsr/nwad249.
Wang, Shiyuan, Yu, Yijun, Hao, Jinxiang, Liang, Keyi, Xiang, Bingke, Zhu, Jinjiang, Lin, Yishi, Pan, Yinping, Gu, Genda, Watanabe, Kenji, Taniguchi, Takashi, Qi, Yang, Zhang, Yuanbo, & Wang, Yihua. Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in underdoped Bi2Sr2CaCu2O8+δ. China. https://doi.org/10.1093/nsr/nwad249
Wang, Shiyuan, Yu, Yijun, Hao, Jinxiang, Liang, Keyi, Xiang, Bingke, Zhu, Jinjiang, Lin, Yishi, Pan, Yinping, Gu, Genda, Watanabe, Kenji, Taniguchi, Takashi, Qi, Yang, Zhang, Yuanbo, and Wang, Yihua. Mon .
"Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in underdoped Bi2Sr2CaCu2O8+δ". China. https://doi.org/10.1093/nsr/nwad249.
@article{osti_2333070,
title = {Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in underdoped Bi2Sr2CaCu2O8+δ},
author = {Wang, Shiyuan and Yu, Yijun and Hao, Jinxiang and Liang, Keyi and Xiang, Bingke and Zhu, Jinjiang and Lin, Yishi and Pan, Yinping and Gu, Genda and Watanabe, Kenji and Taniguchi, Takashi and Qi, Yang and Zhang, Yuanbo and Wang, Yihua},
abstractNote = {Superconducting phase transitions in two dimensions lie beyond the description of the Ginzburg-Landau symmetry-breaking paradigm for three-dimensional superconductors. They are Berezinskii-Kosterlitz-Thouless (BKT) transitions of paired-electron condensate driven by the unbinding of topological excitations, i.e. vortices. The recently discovered monolayers of layered high-transition-temperature ($T$C) cuprate superconductor Bi2Sr2CaCu2O8+$δ$ (Bi2212) meant that this 2D superconductor promised to be ideal for the study of unconventional superconductivity. But inhomogeneity posed challenges for distinguishing BKT physics from charge correlations in this material. Here, we utilize the phase sensitivity of scanning superconducting quantum interference device microscopy susceptometry to image the local magnetic response of underdoped Bi2212 from the monolayer to the bulk throughout its phase transition. The monolayer segregates into domains with independent phases at elevated temperatures below $T$C. Within a single domain, we find that the susceptibility oscillates with flux between diamagnetism and paramagnetism in a Fraunhofer-like pattern up to $T$C . The finite modulation period, as well as the broadening of the peaks when approaching from below, suggests well-defined vortices that are increasingly screened by the dissociation of vortex-antivortex plasma through a BKT transition. In the multilayers, the susceptibility oscillation differs in a small temperature regime below $T$C, consistent with a dimensional crossover led by interlayer coupling. Serving as strong evidence for BKT transition in the bulk, we observe a sharp jump in phase stiffness and paramagnetism at small fields just below $T$C. These results unify the superconducting phase transitions from the monolayer to the bulk underdoped Bi2212, and can be collectively referred to as the BKT transition with interlayer coupling.},
doi = {10.1093/nsr/nwad249},
journal = {National Science Review},
number = 5,
volume = 11,
place = {China},
year = {Mon Sep 18 00:00:00 EDT 2023},
month = {Mon Sep 18 00:00:00 EDT 2023}
}
https://doi.org/10.1093/nsr/nwad249
Works referenced in this record:
The Remarkable Underlying Ground States of Cuprate Superconductors
journal, March 2019
- Proust, Cyril; Taillefer, Louis
- Annual Review of Condensed Matter Physics, Vol. 10, Issue 1
Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin copper oxide films
journal, August 2007
- Hetel, Iulian; Lemberger, Thomas R.; Randeria, Mohit
- Nature Physics, Vol. 3, Issue 10
Mechanism of Paramagnetic Meissner Effect in High-Temperature Superconductors
journal, September 1997
- Higashitani, Seiji
- Journal of the Physical Society of Japan, Vol. 66, Issue 9
Paramagnetic Meissner effect from the self-consistent solution of the Ginzburg-Landau equations
journal, May 1997
- Moshchalkov, V. V.; Qiu, X. G.; Bruyndoncx, V.
- Physical Review B, Vol. 55, Issue 17
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966
- Mermin, N. D.; Wagner, H.
- Physical Review Letters, Vol. 17, Issue 22
Improving spatial resolution of scanning SQUID microscopy with an on-chip design
journal, September 2021
- Pan, Y. P.; Zhu, J. J.; Feng, Y.
- Superconductor Science and Technology, Vol. 34, Issue 11
High-temperature superconductivity in monolayer Bi2Sr2CaCu2O8+δ
journal, October 2019
- Yu, Yijun; Ma, Liguo; Cai, Peng
- Nature, Vol. 575, Issue 7781
Paramagnetic Meissner effect in small superconductors
journal, November 1998
- Geim, A. K.; Dubonos, S. V.; Lok, J. G. S.
- Nature, Vol. 396, Issue 6707
The single-electron transistor
journal, July 1992
- Kastner, M. A.
- Reviews of Modern Physics, Vol. 64, Issue 3
The flux-line lattice in superconductors
journal, November 1995
- Brandt, E. H.
- Reports on Progress in Physics, Vol. 58, Issue 11
Unusual paramagnetic phenomena in granular high-temperature superconductors—A consequence ofd - wave pairing?
journal, April 1995
- Sigrist, Manfred; Rice, T. M.
- Reviews of Modern Physics, Vol. 67, Issue 2
High-Tc superconductivity in ultrathin Bi2Sr2CaCu2O8+x down to half-unit-cell thickness by protection with graphene
journal, December 2014
- Jiang, Da; Hu, Tao; You, Lixing
- Nature Communications, Vol. 5, Issue 1
The uniformly frustrated two-dimensional XY model in the limit of weak frustration
journal, April 2008
- Alba, Vincenzo; Pelissetto, Andrea; Vicari, Ettore
- Journal of Physics A: Mathematical and Theoretical, Vol. 41, Issue 17
Fluctuation Superconductivity in Mesoscopic Aluminum Rings
journal, November 2007
- Koshnick, N. C.; Bluhm, H.; Huber, M. E.
- Science, Vol. 318, Issue 5855
Doping dependence of the vortex-core energy in bilayer films of cuprates
journal, March 2008
- Benfatto, L.; Castellani, C.; Giamarchi, T.
- Physical Review B, Vol. 77, Issue 10
A scanning superconducting quantum interference device with single electron spin sensitivity
journal, September 2013
- Vasyukov, Denis; Anahory, Yonathan; Embon, Lior
- Nature Nanotechnology, Vol. 8, Issue 9
Vortices in high-temperature superconductors
journal, October 1994
- Blatter, G.; Feigel'man, M. V.; Geshkenbein, V. B.
- Reviews of Modern Physics, Vol. 66, Issue 4
Concepts relating magnetic interactions, intertwined electronic orders, and strongly correlated superconductivity
journal, October 2013
- Davis, J. C. S.; Lee, D. -H.
- Proceedings of the National Academy of Sciences, Vol. 110, Issue 44
Effect of disorder on the superfluid transition in two-dimensional systems
journal, April 2007
- Balabanyan, Karén G.
- Physical Review B, Vol. 75, Issue 14
The critical properties of the two-dimensional xy model
journal, March 1974
- Kosterlitz, J. M.
- Journal of Physics C: Solid State Physics, Vol. 7, Issue 6
Paramagnetic ac susceptibility at the first-order vortex-lattice phase transition
journal, August 1996
- Morozov, N.; Zeldov, E.; Majer, D.
- Physical Review B, Vol. 54, Issue 6
Gate-tuned superfluid density at the superconducting LaAlO /SrTiO interface
journal, August 2012
- Bert, Julie A.; Nowack, Katja C.; Kalisky, Beena
- Physical Review B, Vol. 86, Issue 6
Crossover from two-dimensional to three-dimensional superconducting states in bismuth-based cuprate superconductor
journal, December 2019
- Guo, Jing; Zhou, Yazhou; Huang, Cheng
- Nature Physics, Vol. 16, Issue 3
Vortex dynamics in two-dimensional underdamped, classical Josephson-junction arrays
journal, January 1993
- van der Zant, H. S. J.; Fritschy, F. C.; Orlando, T. P.
- Physical Review B, Vol. 47, Issue 1
Evidence for Berezinskii–Kosterlitz–Thouless transition in atomically flat two-dimensional Pb superconducting films
journal, July 2013
- Zhao, Weiwei; Wang, Qingyan; Liu, Minhao
- Solid State Communications, Vol. 165
Fluctuation diamagnetism in high-temperature superconductors
journal, February 2010
- Kivelson, Steven; Fradkin, Eduardo
- Physics, Vol. 3
Angle-resolved phase-sensitive determination of the in-plane gap symmetry in YBa2Cu3O7−δ
journal, February 2006
- Kirtley, J. R.; Tsuei, C. C.
- Nature Physics, Vol. 2, Issue 3
Vortex dynamics in a type-II superconducting film and complex linear-response functions
journal, December 1992
- Clem, John R.; Coffey, Mark W.
- Physical Review B, Vol. 46, Issue 22
Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory)
journal, June 1972
- Kosterlitz, J. M.; Thouless, D. J.
- Journal of Physics C: Solid State Physics, Vol. 5, Issue 11
Paramagnetic instability of small topological superconductors
journal, May 2014
- Suzuki, Shu-Ichiro; Asano, Yasuhiro
- Physical Review B, Vol. 89, Issue 18
Imaging spontaneous currents in superconducting arrays of π-junctions
journal, November 2007
- Frolov, Sergey M.; Stoutimore, Micah J. A.; Crane, Trevis A.
- Nature Physics, Vol. 4, Issue 1
The Vanishing Superfluid Density in Cuprates—and Why It Matters
journal, July 2018
- Božović, I.; He, X.; Wu, J.
- Journal of Superconductivity and Novel Magnetism, Vol. 31, Issue 9
Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015
- Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M.
- Reviews of Modern Physics, Vol. 87, Issue 2
Symmetry and Topology in Superconductors –Odd-Frequency Pairing and Edge States–
journal, January 2012
- Tanaka, Yukio; Sato, Masatoshi; Nagaosa, Naoto
- Journal of the Physical Society of Japan, Vol. 81, Issue 1
Evidence for two-dimensional Ising superconductivity in gated MoS2
journal, November 2015
- Lu, J. M.; Zheliuk, O.; Leermakers, I.
- Science, Vol. 350, Issue 6266
Electronic specific heat of from 1.8 to 300 K
journal, September 1993
- Loram, J. W.; Mirza, K. A.; Cooper, J. R.
- Physical Review Letters, Vol. 71, Issue 11
Current Distribution in Superconducting Films Carrying Quantized Fluxoids
journal, August 1964
- Pearl, J.
- Applied Physics Letters, Vol. 5, Issue 4
From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015
- Keimer, B.; Kivelson, S. A.; Norman, M. R.
- Nature, Vol. 518, Issue 7538
The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films
journal, October 1987
- Minnhagen, Petter
- Reviews of Modern Physics, Vol. 59, Issue 4
Bose-Einstein to BCS crossover picture for high-T cuprates
journal, August 1997
- Uemura, Y. J.
- Physica C: Superconductivity, Vol. 282-287
Scanning SQUID susceptometry of a paramagnetic superconductor
journal, June 2012
- Kirtley, J. R.; Kalisky, B.; Bert, J. A.
- Physical Review B, Vol. 85, Issue 22
Diamagnetism and Cooper pairing above in cuprates
journal, February 2010
- Li, Lu; Wang, Yayu; Komiya, Seiki
- Physical Review B, Vol. 81, Issue 5
Meissner response of anisotropic superconductors
journal, September 2003
- Kogan, V. G.
- Physical Review B, Vol. 68, Issue 10
Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity
journal, November 2009
- Vojta, Matthias
- Advances in Physics, Vol. 58, Issue 6
Variation in superconducting transition temperature due to tetragonal domains in two-dimensionally doped
journal, November 2016
- Noad, Hilary; Spanton, Eric M.; Nowack, Katja C.
- Physical Review B, Vol. 94, Issue 17
3D nano-bridge-based SQUID susceptometers for scanning magnetic imaging of quantum materials
journal, May 2019
- Pan, Y. P.; Wang, S. Y.; Liu, X. Y.
- Nanotechnology, Vol. 30, Issue 30
Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973
- Kosterlitz, J M; Thouless, D J
- Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
Size-Induced Depression of First-Order Transition Lines and Entropy Jump in Extremely Layered Nanocrystalline Vortex Matter
journal, September 2015
- Dolz, M. I.; Fasano, Y.; Cejas Bolecek, N. R.
- Physical Review Letters, Vol. 115, Issue 13
Topological Excitations in Two-Dimensional Superconductors
journal, April 1979
- Doniach, S.; Huberman, B. A.
- Physical Review Letters, Vol. 42, Issue 17
Scanning superconducting quantum interference device on a tip for magnetic imaging of nanoscale phenomena
journal, July 2012
- Finkler, A.; Vasyukov, D.; Segev, Y.
- Review of Scientific Instruments, Vol. 83, Issue 7
Superconducting Interfaces Between Insulating Oxides
journal, August 2007
- Reyren, N.; Thiel, S.; Caviglia, A. D.
- Science, Vol. 317, Issue 5842
Nernst effect in high- superconductors
journal, January 2006
- Wang, Yayu; Li, Lu; Ong, N. P.
- Physical Review B, Vol. 73, Issue 2
Effect of hole doping on the London penetration depth in and
journal, July 2009
- Anukool, W.; Barakat, S.; Panagopoulos, C.
- Physical Review B, Vol. 80, Issue 2
Thermodynamic observation of first-order vortex-lattice melting transition in Bi2Sr2CaCu2O8
journal, June 1995
- Zeldov, E.; Majer, D.; Konczykowski, M.
- Nature, Vol. 375, Issue 6530