Emergence of superconductivity in doped multiorbital Hubbard chains
Abstract
Abstract We introduce a variational state for one-dimensional two-orbital Hubbard models that intuitively explains the recent computational discovery of pairing in these systems when hole doped. Our ansatz is an optimized linear superposition of Affleck–Kennedy–Lieb–Tasaki valence-bond states, rendering the combination a valence-bond liquid dubbed orbital resonant valence bond. We show that the undoped (one-electron/orbital) quantum state of two sites coupled into a global spin singlet is exactly written employing only spin-1/2 singlets linking orbitals at nearest-neighbor sites. Generalizing to longer chains defines our variational state visualized geometrically expressing our chain as a two-leg ladder, with one orbital per leg. As in Anderson’s resonating valence-bond state, our undoped variational state contains preformed singlet pairs that via doping become mobile, leading to superconductivity. Doped real materials with one-dimensional substructures, two near-degenerate orbitals, and intermediate Hubbard U / W strengths— W the carrier’s bandwidth—could realize spin-singlet pairing if on-site anisotropies are small. If these anisotropies are robust, spin-triplet pairing emerges.
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
- OSTI Identifier:
- 1765428
- Alternate Identifier(s):
- OSTI ID: 1619011
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Published Article
- Journal Name:
- npj Quantum Materials
- Additional Journal Information:
- Journal Name: npj Quantum Materials Journal Volume: 5 Journal Issue: 1; Journal ID: ISSN 2397-4648
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Superconducting properties and materials; Topological matter
Citation Formats
Patel, Niravkumar D., Kaushal, Nitin, Nocera, Alberto, Alvarez, Gonzalo, and Dagotto, Elbio. Emergence of superconductivity in doped multiorbital Hubbard chains. United Kingdom: N. p., 2020.
Web. doi:10.1038/s41535-020-0228-2.
Patel, Niravkumar D., Kaushal, Nitin, Nocera, Alberto, Alvarez, Gonzalo, & Dagotto, Elbio. Emergence of superconductivity in doped multiorbital Hubbard chains. United Kingdom. https://doi.org/10.1038/s41535-020-0228-2
Patel, Niravkumar D., Kaushal, Nitin, Nocera, Alberto, Alvarez, Gonzalo, and Dagotto, Elbio. Fri .
"Emergence of superconductivity in doped multiorbital Hubbard chains". United Kingdom. https://doi.org/10.1038/s41535-020-0228-2.
@article{osti_1765428,
title = {Emergence of superconductivity in doped multiorbital Hubbard chains},
author = {Patel, Niravkumar D. and Kaushal, Nitin and Nocera, Alberto and Alvarez, Gonzalo and Dagotto, Elbio},
abstractNote = {Abstract We introduce a variational state for one-dimensional two-orbital Hubbard models that intuitively explains the recent computational discovery of pairing in these systems when hole doped. Our ansatz is an optimized linear superposition of Affleck–Kennedy–Lieb–Tasaki valence-bond states, rendering the combination a valence-bond liquid dubbed orbital resonant valence bond. We show that the undoped (one-electron/orbital) quantum state of two sites coupled into a global spin singlet is exactly written employing only spin-1/2 singlets linking orbitals at nearest-neighbor sites. Generalizing to longer chains defines our variational state visualized geometrically expressing our chain as a two-leg ladder, with one orbital per leg. As in Anderson’s resonating valence-bond state, our undoped variational state contains preformed singlet pairs that via doping become mobile, leading to superconductivity. Doped real materials with one-dimensional substructures, two near-degenerate orbitals, and intermediate Hubbard U / W strengths— W the carrier’s bandwidth—could realize spin-singlet pairing if on-site anisotropies are small. If these anisotropies are robust, spin-triplet pairing emerges.},
doi = {10.1038/s41535-020-0228-2},
journal = {npj Quantum Materials},
number = 1,
volume = 5,
place = {United Kingdom},
year = {Fri May 08 00:00:00 EDT 2020},
month = {Fri May 08 00:00:00 EDT 2020}
}
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https://doi.org/10.1038/s41535-020-0228-2
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Cited by: 12 works
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Figures / Tables:
Fig. 1: Summary main results. a Sketch of a chain with two active orbitals a and b. b Representation of a splitting the orbitals into legs forming a fictitious two-leg ladder, with legs only connected by the Hund coupling JH. c One component of the variational state proposed in themore »
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