Pairing from strong repulsion in triangular lattice Hubbard model

Zhang, Shang -Shun; Zhu, Wei; Batista, Cristian D.

doi:10.1103/PhysRevB.97.140507

Title: Pairing from strong repulsion in triangular lattice Hubbard model

Abstract

Here, we propose a pairing mechanism between holes in the dilute limit of doped frustrated Mott insulators. Hole pairing arises from a hole-hole-magnon three-body bound state. This pairing mechanism has its roots on single-hole kinetic energy frustration, which favors antiferromagnetic (AFM) correlations around the hole. We demonstrate that the AFM polaron (hole-magnon bound state) produced by a single hole propagating on a field-induced polarized background is strong enough to bind a second hole. The effective interaction between these three-body bound states is repulsive, implying that this pairing mechanism is relevant for superconductivity.

Authors:

Zhang, Shang -Shun ^[1];

^[2]; Batista, Cristian D. ^[3]

Univ. of Tennessee, Knoxville, TN (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: 2018-04-20

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1477721

Alternate Identifier(s):: OSTI ID: 1434194

Report Number(s):: LA-UR-17-28927
Journal ID: ISSN 2469-9950; PRBMDO

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 97; Journal Issue: 14; 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; Material Science

Citation Formats


                    Zhang, Shang -Shun, Zhu, Wei, and Batista, Cristian D. Pairing from strong repulsion in triangular lattice Hubbard model.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevB.97.140507.

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                    Zhang, Shang -Shun, Zhu, Wei, & Batista, Cristian D. Pairing from strong repulsion in triangular lattice Hubbard model.  United States.  https://doi.org/10.1103/PhysRevB.97.140507

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                    Zhang, Shang -Shun, Zhu, Wei, and Batista, Cristian D. Fri .  
"Pairing from strong repulsion in triangular lattice Hubbard model".  United States.  https://doi.org/10.1103/PhysRevB.97.140507.  https://www.osti.gov/servlets/purl/1477721.

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@article{osti_1477721,

  title        = {Pairing from strong repulsion in triangular lattice Hubbard model},

  author       = {Zhang, Shang -Shun and Zhu, Wei and Batista, Cristian D.},

  abstractNote = {Here, we propose a pairing mechanism between holes in the dilute limit of doped frustrated Mott insulators. Hole pairing arises from a hole-hole-magnon three-body bound state. This pairing mechanism has its roots on single-hole kinetic energy frustration, which favors antiferromagnetic (AFM) correlations around the hole. We demonstrate that the AFM polaron (hole-magnon bound state) produced by a single hole propagating on a field-induced polarized background is strong enough to bind a second hole. The effective interaction between these three-body bound states is repulsive, implying that this pairing mechanism is relevant for superconductivity.},

  doi          = {10.1103/PhysRevB.97.140507},

  journal      = {Physical Review B},

  number       = 14,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {4}

}

Copy to clipboard

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Title: Pairing from strong repulsion in triangular lattice Hubbard model

Abstract

Citation Formats

Spin-bag mechanism of high-temperature superconductivity journal, March 1988

Spin liquids in frustrated magnets journal, March 2010

Superconductivity in CoO 2 layers and the resonating valence bond mean-field theory of the triangular lattice t − J model journal, September 2003

Possible effects of charge frustration in Na x CoO 2 : Bandwidth suppression, charge orders, and resurrected resonating valence bond superconductivity journal, June 2004

Superconductivity from repulsive interactions in the two-dimensional electron gas journal, March 2011

Multi-orbital Analysis on the Superconductivity in Na x CoO 2 · y H 2 O journal, January 2005

Many-body physics with ultracold gases journal, July 2008

Ferromagnetism in a Narrow, Almost Half-Filled s Band journal, July 1966

Ferromagnetism in the Hubbard model on line graphs and further considerations journal, July 1991

Pairing instabilities in the two-dimensional Hubbard model journal, November 1992

Superfluidity of Low-Density Fermion Systems journal, January 1968

Ultracold quantum gases in triangular optical lattices journal, June 2010

Electron attraction mediated by Coulomb repulsion journal, July 2016

New Mechanism for Superconductivity journal, September 1965

Kinetic Antiferromagnetism in the Triangular Lattice journal, August 2005

Possibility of Synthesizing an Organic Superconductor journal, June 1964

Kohn-Luttinger effect and the instability of a two-dimensional repulsive Fermi liquid at T =0 journal, July 1993

High-temperature superconductivity–dream or reality? journal, February 1976

Intriguing Properties Put Sodium Cobalt Oxide in the Spotlight journal, August 2003

Evolution of Nagaoka phase with kinetic energy frustrating hopping journal, May 2017

Superconductivity in two-dimensional CoO2 layers journal, March 2003

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Ordering, metastability and phase transitions in two-dimensional systems journal, April 1973

Superconducting States in Frustrating t – J Model: A Model Connecting High- T c Cuprates, Organic Conductors and Na x CoO 2 journal, August 2003

Two-Electron State in a Disordered 2D Island: Pairing Caused by the Coulomb Repulsion journal, August 1996

Resonating valence bonds: A new kind of insulator? journal, February 1973

Electronic Model for C o O 2 Layer Based Systems: Chiral Resonating Valence Bond Metal and Superconductivity journal, August 2003

Excitonic mechanism for superconductivity in a quasi-one-dimensional system journal, July 1985

Superconductivity in Strongly Repulsive Fermions: The Role of Kinetic-Energy Frustration journal, October 2010

Classical Antiferromagnetism in Kinetically Frustrated Electronic Models journal, May 2014

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Mott Transitions and d -Wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration journal, November 2006

Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices journal, July 2011

The Resonating Valence Bond State in La2CuO4 and Superconductivity journal, March 1987

Superconductivity in narrow-band systems with local nonretarded attractive interactions journal, January 1990

The cold atom Hubbard toolbox journal, January 2005

Chiral d + i s superconducting state in the two-dimensional t − t ′ Hubbard model journal, March 2004

Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields journal, September 2013

Phase diagram of the weak-coupling two-dimensional t − t ′ Hubbard model at low and intermediate electron density journal, April 1999

Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution journal, June 2010

Effects of longer-range interactions on unconventional superconductivity journal, January 2012

Spin-bag mechanism of high-temperature superconductivity
journal, March 1988

Spin liquids in frustrated magnets
journal, March 2010

Superconductivity in ${CoO}_{2}$ layers and the resonating valence bond mean-field theory of the triangular lattice $t - J$ model
journal, September 2003

Possible effects of charge frustration in ${Na}_{x} {CoO}_{2}$ : Bandwidth suppression, charge orders, and resurrected resonating valence bond superconductivity
journal, June 2004

Superconductivity from repulsive interactions in the two-dimensional electron gas
journal, March 2011

Multi-orbital Analysis on the Superconductivity in Na _x CoO ₂ · y H ₂ O
journal, January 2005

Many-body physics with ultracold gases
journal, July 2008

Ferromagnetism in a Narrow, Almost Half-Filled $s$ Band
journal, July 1966

Ferromagnetism in the Hubbard model on line graphs and further considerations
journal, July 1991

Pairing instabilities in the two-dimensional Hubbard model
journal, November 1992

Superfluidity of Low-Density Fermion Systems
journal, January 1968

Ultracold quantum gases in triangular optical lattices
journal, June 2010

Electron attraction mediated by Coulomb repulsion
journal, July 2016

New Mechanism for Superconductivity
journal, September 1965

Kinetic Antiferromagnetism in the Triangular Lattice
journal, August 2005

Possibility of Synthesizing an Organic Superconductor
journal, June 1964

Kohn-Luttinger effect and the instability of a two-dimensional repulsive Fermi liquid at T =0
journal, July 1993

High-temperature superconductivity–dream or reality?
journal, February 1976

Intriguing Properties Put Sodium Cobalt Oxide in the Spotlight
journal, August 2003

Evolution of Nagaoka phase with kinetic energy frustrating hopping
journal, May 2017

Superconductivity in two-dimensional CoO2 layers
journal, March 2003

Possible Pairing Symmetry of Superconductor Na _x CoO ₂ · y H ₂ O
journal, May 2004

Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

Superconducting States in Frustrating t – J Model: A Model Connecting High- T _c Cuprates, Organic Conductors and Na _x CoO ₂
journal, August 2003

Two-Electron State in a Disordered 2D Island: Pairing Caused by the Coulomb Repulsion
journal, August 1996

Resonating valence bonds: A new kind of insulator?
journal, February 1973

Electronic Model for ${C o O}_{2}$ Layer Based Systems: Chiral Resonating Valence Bond Metal and Superconductivity
journal, August 2003

Excitonic mechanism for superconductivity in a quasi-one-dimensional system
journal, July 1985

Superconductivity in Strongly Repulsive Fermions: The Role of Kinetic-Energy Frustration
journal, October 2010

Classical Antiferromagnetism in Kinetically Frustrated Electronic Models
journal, May 2014

Unconventional High-Temperature Superconductivity from Repulsive Interactions: Theoretical Constraints
journal, March 2011

Mott Transitions and d -Wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
journal, November 2006

Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices
journal, July 2011

The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987

Superconductivity in narrow-band systems with local nonretarded attractive interactions
journal, January 1990

The cold atom Hubbard toolbox
journal, January 2005

Chiral $d + i s$ superconducting state in the two-dimensional ${t - t}^{'}$ Hubbard model
journal, March 2004

Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields
journal, September 2013

Phase diagram of the weak-coupling two-dimensional $t - t^{'}$ Hubbard model at low and intermediate electron density
journal, April 1999

Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution
journal, June 2010

Effects of longer-range interactions on unconventional superconductivity
journal, January 2012