Minimal-size real-space -wave pairing operator in planes
Abstract
Herein a novel minimal-size pairing operator with -wave symmetry in planes is introduced. This pairing operator creates on-site Cooper pairs at the four oxygens that surround a copper atom. Via the time evolution of , an additional interorbital pairing operator with -wave symmetry is generated that pairs fermions located in a Cu and its four surrounding O atoms. The subsequent time evolution of generates an intraorbital -wave pairing operator involving the four O atoms that surround a Cu atom, as well as the -wave operator traditionally used in single-band models for cuprates. Because we recover the larger size operators extensively used in the three-orbital Hubbard model, we suggest that long-range order using the canonical extended operators occurs together with long-range order in the new minimal operators. However, our minimal -wave operators could be more practical to study -wave superconductivity because in the finite-size relatively small systems accessible to computational techniques it is easier to observe long-range order using local operators. Moreover, an effective model with the usual tight-binding hopping of the planes supplemented by an attractive potential in the -wave channel is introduced. Using mean-field techniques, we show that a paired ground state is stabilized for any finite value of . We observed that the values of that lead to gap sizes similar to those in the cuprates are smaller for -wave pairing operators that include Cu orbitals than those that include only orbitals. In all cases the gap that opens in the spectrum has standard -wave symmetry. Finally, a simpler effective model is introduced to study the phenomenology of multiorbital -wave superconductors, similar to how the negative- Hubbard model is used for properties of -wave superconductors.
- Authors:
-
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science & Technology Division
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1606757
- Report Number(s):
- arXiv:1909.04084v1
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US2104555
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 21; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE
Citation Formats
Moreo, Adriana, and Dagotto, Elbio R. Minimal-size real-space d-wave pairing operator in CuO2 planes. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.214502.
Moreo, Adriana, & Dagotto, Elbio R. Minimal-size real-space d-wave pairing operator in CuO2 planes. United States. https://doi.org/10.1103/PhysRevB.100.214502
Moreo, Adriana, and Dagotto, Elbio R. Thu .
"Minimal-size real-space d-wave pairing operator in CuO2 planes". United States. https://doi.org/10.1103/PhysRevB.100.214502. https://www.osti.gov/servlets/purl/1606757.
@article{osti_1606757,
title = {Minimal-size real-space d-wave pairing operator in CuO2 planes},
author = {Moreo, Adriana and Dagotto, Elbio R.},
abstractNote = {Herein a novel minimal-size pairing operator ΔD0† with d-wave symmetry in CuO2 planes is introduced. This pairing operator creates on-site Cooper pairs at the four oxygens that surround a copper atom. Via the time evolution of ΔD0†, an additional interorbital pairing operator ΔDpd† with d-wave symmetry is generated that pairs fermions located in a Cu and its four surrounding O atoms. The subsequent time evolution of ΔDpd† generates an intraorbital d-wave pairing operator ΔDpp† involving the four O atoms that surround a Cu atom, as well as the d-wave operator ΔD† traditionally used in single-band models for cuprates. Because we recover the larger size operators extensively used in the three-orbital Hubbard model, we suggest that long-range order using the canonical extended operators occurs together with long-range order in the new minimal operators. However, our minimal d-wave operators could be more practical to study d-wave superconductivity because in the finite-size relatively small systems accessible to computational techniques it is easier to observe long-range order using local operators. Moreover, an effective model with the usual tight-binding hopping of the CuO2 planes supplemented by an attractive potential V in the d-wave channel is introduced. Using mean-field techniques, we show that a paired ground state is stabilized for any finite value of V. We observed that the values of V that lead to gap sizes similar to those in the cuprates are smaller for d-wave pairing operators that include Cu d orbitals than those that include only p orbitals. In all cases the gap that opens in the spectrum has standard d-wave symmetry. Finally, a simpler effective model is introduced to study the phenomenology of multiorbital d-wave superconductors, similar to how the negative-U Hubbard model is used for properties of s-wave superconductors.},
doi = {10.1103/PhysRevB.100.214502},
journal = {Physical Review B},
number = 21,
volume = 100,
place = {United States},
year = {Thu Dec 05 00:00:00 EST 2019},
month = {Thu Dec 05 00:00:00 EST 2019}
}
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