skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Emergence of superconductivity in doped multiorbital Hubbard chains

Journal Article · · npj Quantum Materials

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.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
Sponsoring Organization:
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
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1765428
Alternate ID(s):
OSTI ID: 1619011
Journal Information:
npj Quantum Materials, Journal Name: npj Quantum Materials Vol. 5 Journal Issue: 1; ISSN 2397-4648
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (62)

Symmetry protected topological Luttinger liquids and the phase transition between them journal June 2018
Rigorous results on valence-bond ground states in antiferromagnets journal August 1987
Identifying symmetry-protected topological order by entanglement entropy journal December 2013
Hole and pair structures in the t-J model journal March 1997
Unexpected Intermediate State Photoinduced in the Metal-Insulator Transition of Submicrometer Phase-Separated Manganites journal June 2018
Physics of integer-spin antiferromagnetic chains: Haldane gaps and edge states journal June 2019
Block Magnetic Excitations in the Orbitally Selective Mott Insulator BaFe 2 Se 3 journal July 2015
Magnetic Precursor of the Pressure-Induced Superconductivity in Fe-Ladder Compounds journal July 2016
Pressure-induced superconductivity in the iron-based ladder material BaFe2S3 journal July 2015
Superconductivity in a model of two Hubbard chains coupled with ferromagnetic exchange interaction journal June 2008
Magnetic states of the two-leg-ladder alkali metal iron selenides A Fe 2 Se 3 journal January 2013
Magnetic susceptibility and ESR study of the covalent-chain antiferromagnets TlFeS 2 and TlFeSe 2 journal December 2001
Pressure-driven phase transition from antiferromagnetic semiconductor to nonmagnetic metal in the two-leg ladders A Fe 2 X 3 ( A = Ba , K ; X = S , Se ) journal March 2017
Low-energy microscopic models for iron-based superconductors: a review journal November 2016
The density matrix renormalization group for strongly correlated electron systems: A generic implementation journal September 2009
Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering journal May 2019
Orbital order and fluctuations in the two-leg ladder materials BaFe 2 X 3 ( X = S and Se) and CsFe 2 Se 3 journal September 2017
Nearly ferromagnetic spin-triplet superconductivity journal August 2019
Fingerprints of an orbital-selective Mott phase in the block magnetic state of BaFe2Se3 ladders journal June 2019
Spin waves and magnetic exchange interactions in the spin-ladder compound RbFe 2 Se 3 journal July 2016
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials journal February 1996
Density matrix formulation for quantum renormalization groups journal November 1992
Doped Stripes in Models for the Cuprates Emerging from the One-Hole Properties of the Insulator journal June 2000
Spin dynamics of the block orbital-selective Mott phase journal September 2018
Iron displacements and magnetoelastic coupling in the antiferromagnetic spin-ladder compound BaFe 2 Se 3 journal November 2011
BaFe 2 S e 3 : A High T C Magnetic Multiferroic with Large Ferrielectric Polarization journal October 2014
Magnetic states of the five-orbital Hubbard model for one-dimensional iron-based superconductors journal July 2014
Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders journal November 2017
The Resonating Valence Bond State in La2CuO4 and Superconductivity journal March 1987
Colloquium : The unexpected properties of alkali metal iron selenide superconductors journal May 2013
Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity journal November 1999
Colossal magnetoresistant materials: the key role of phase separation journal April 2001
The Transition Between Real and Complex Superconducting Order Parameter Phases in UPt3 journal June 2010
Superconductivity in ladders and coupled planes journal March 1992
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State journal April 1983
Dispersion of magnetic excitations in a spin-1 chain with easy-plane anisotropy journal November 1992
Colloquium : Area laws for the entanglement entropy journal February 2010
Superconductivity in the Ladder Material Sr 0.4 Ca 13.6 Cu 24 O 41.84 journal September 1996
Neutron and ARPES constraints on the couplings of the multiorbital Hubbard model for the iron pnictides journal September 2010
Magnetic properties and pairing tendencies of the iron-based superconducting ladder BaFe 2 S 3 : Combined ab initio and density matrix renormalization group study journal August 2016
Anisotropy in BaFe 2 Se 3 single crystals with double chains of FeSe tetrahedra journal December 2011
Entanglement properties of the Haldane phases: A finite system-size approach journal December 2016
Novel Magnetic Block States in Low-Dimensional Iron-Based Superconductors journal July 2019
Coexistence of pairing tendencies and ferromagnetism in a doped two-orbital Hubbard model on two-leg ladders journal February 2010
Direct experimental evidence of physical origin of electronic phase separation in manganites journal March 2020
Colloquium: Topological insulators journal November 2010
Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model journal February 1990
Effective exchange interactions for bad metals and implications for iron-based superconductors journal December 2019
Correlated electrons in high-temperature superconductors journal July 1994
Indications of spin-charge separation at short distance and stripe formation in the extended t-J model on ladders and planes journal December 2000
Entanglement scaling in critical two-dimensional fermionic and bosonic systems journal August 2006
Interplay of magnetism and superconductivity in the compressed Fe-ladder compound BaFe 2 Se 3 journal June 2017
Pressure-Induced Mott Transition Followed by a 24-K Superconducting Phase in BaFe 2 S 3 journal December 2015
Orbital-selective magnetism in the spin-ladder iron selenides Ba 1 x K x Fe 2 Se 3 journal May 2012
Hole redistribution in Sr 14 x Ca x Cu 24 O 41 ( x = 0 , 12 ) spin ladder compounds: Cu 63 and O 17 NMR studies under pressure journal August 2005
Entanglement spectrum of a topological phase in one dimension journal February 2010
Magnetism and its microscopic origin in iron-based high-temperature superconductors journal October 2012
First-principles study of magnetic properties in Fe-ladder compound BaFe 2 S 3 journal August 2015
Sequential structural and antiferromagnetic transitions in BaFe 2 Se 3 under pressure journal January 2018
Magnetic states of iron-based two-leg ladder tellurides journal November 2019
Detection of symmetry-protected topological order in AKLT states by exact evaluation of the strange correlator journal June 2016
Bulk entanglement spectrum in gapped spin ladders journal June 2016

Figures / Tables (9)


Similar Records

Optical spin-1 chain and its use as a quantum-computational wire
Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:1765428

η-pairing in Hubbard models: From spectrum generating algebras to quantum many-body scars
Journal Article · Thu Aug 20 00:00:00 EDT 2020 · Physical Review. B · OSTI ID:1765428

Quantum computational capability of a 2D valence bond solid phase
Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Annals of Physics (New York) · OSTI ID:1765428