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Quantum oscillations and criticality in a fermionic and bosonic dimer model for the cuprates

Journal Article · · Physical Review. B
 [1];  [2];  [3]
  1. Univ. of Cambridge (United Kingdom); DOE/OSTI
  2. Boston Univ., MA (United States)
  3. Univ. of Cambridge (United Kingdom)
+ Show Author Affiliations
We study quantum oscillations for a system of fermionic and bosonic dimers and compare the results to those experimentally observed in the cuprate superconductors in their underdoped regime. We argue that the charge carriers obey the Onsager quantization condition and quantum oscillations take on a Lifshitz-Kosevich form. We obtain the effective mass and find good qualitative agreement with experiments if we tune the model to the point where the observed mass divergence at optimum doping is associated to a van Hove singularity at which four free-dimer Fermi pockets touch pairwise in the interior of the Brillouin zone. The same van Hove singularity leads to a maximum in the d -wave superconducting pairing amplitude when antiferromagnetic interactions are included. Furthermore, our combined results therefore suggest that a quantum critical point separating the underdoped and overdoped regimes is marked by the location of the van Hove saddle point in the fermionic dimer dispersion.
Research Organization:
Boston Univ., MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-06ER46316
OSTI ID:
1609747
Alternate ID(s):
OSTI ID: 1483028
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 18 Vol. 98; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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  • Sebastian, Suchitra E.; Harrison, Neil; Lonzarich, Gilbert G.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1941 https://doi.org/10.1098/rsta.2010.0243
journal April 2011
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Cited By (3)

Phases fluctuations, self-similarity breaking and anomalous scalings in driven nonequilibrium critical phenomena journal July 2021
Scaling and diabatic effects in quantum annealing with a D-Wave device text January 2019
Theory of Critical Phenomena with Memory text January 2022

Figures / Tables (8)

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Fermi surface
cuprates
electronic structure
fermions
high-temperature superconductors
materials science
physics
quantum oscillation techniques