DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Precursor of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice

Journal Article · · npj Quantum Materials

Abstract We study the effects of doping the Kitaev model on the honeycomb lattice where the spins interact via the bond-directional interaction J K , which is known to have a quantum spin liquid as its exact ground state. The effect of hole doping is studied within the t - J K model on a three-leg cylinder using density-matrix renormalization group. Upon light doping, we find that the ground state of the system has a dominant quasi-long-range charge-density-wave correlations but short-range single-particle correlations. In the pairing channel, the even-parity superconducting correlation is dominant with d -wave-like symmetry, which oscillates in sign as a function of separation with a period equal to that of the spin-density wave and two times the charge-density wave. Although these correlations fall rapidly (possibly exponentially) at long distances, this is never-the-less the example where a pair-density wave is the leading instability in the pairing channel on the honeycomb lattice.

Sponsoring Organization:
USDOE
Grant/Contract Number:
NONE; AC02-76SF00515
OSTI ID:
1805052
Journal Information:
npj Quantum Materials, Journal Name: npj Quantum Materials Journal Issue: 1 Vol. 6; ISSN 2397-4648
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (52)

Anyons in an exactly solved model and beyond journal January 2006
Spin liquids in frustrated magnets journal March 2010
Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x journal April 2016
Identifying topological order by entanglement entropy journal November 2012
Dislocations and vortices in pair-density-wave superconductors journal June 2008
Pair-density-wave in the strong coupling limit of the Holstein-Hubbard model journal February 2022
Visualization of the periodic modulation of Cooper pairing in a cuprate superconductor journal September 2018
Concept and realization of Kitaev quantum spin liquids journal March 2019
Density wave like transport anomalies in surface doped Na 2 IrO 3 journal May 2017
Quantum spin liquids: a review journal November 2016
Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates journal November 2009
Entanglement entropy and quantum field theory journal June 2004
Universal parity effects in the entanglement entropy of XX chains with open boundary conditions journal January 2011
Superconductivity in a Strong Spin-Exchange Field journal August 1964
Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α − RuCl 3 journal October 2019
Topology of the resonating valence-bond state: Solitons and high- T c superconductivity journal June 1987
Chiral spin states and superconductivity journal June 1989
Friedel oscillations and charge density waves in chains and ladders journal April 2002
Ground-state phase diagram of the one-dimensional t - J model journal May 2011
Pair-density-wave superconducting order in two-leg ladders journal January 2012
Competition between d -wave and topological p -wave superconducting phases in the doped Kitaev-Heisenberg model journal April 2012
Doping a spin-orbit Mott insulator: Topological superconductivity from the Kitaev-Heisenberg model and possible application to (Na 2 /Li 2 )IrO 3 journal August 2012
Global phase diagram of a doped Kitaev-Heisenberg model journal February 2013
First-order density-wave-like transitions in surface-doped Na 2 IrO 3 journal July 2016
Intertwined order in a frustrated four-leg t − J cylinder journal April 2017
Topological superconductivity in the extended Kitaev-Heisenberg model journal January 2018
Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field journal June 2018
Superconductivity in the doped t − J model: Results for four-leg cylinders journal October 2018
Pair-Density-Wave Correlations in the Kondo-Heisenberg Model journal September 2010
Possible Fermi Liquid in the Lightly Doped Kitaev Spin Liquid journal May 2012
Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid journal August 2017
Pair Density Wave in the Doped t − J Model with Ring Exchange on a Triangular Lattice journal April 2019
Topological Superconductivity in the Doped Chiral Spin Liquid on the Triangular Lattice journal October 2020
Strong Coupling Limit of the Holstein-Hubbard Model journal October 2020
Superconductivity and the Quantum Hard-Core Dimer Gas journal November 1988
Density matrix formulation for quantum renormalization groups journal November 1992
Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to κ − ( BEDT − TTF ) 2 Cu 2 ( CN ) 3 journal February 2007
Exact Results for Spin Dynamics and Fractionalization in the Kitaev Model journal June 2007
Dynamical Layer Decoupling in a Stripe-Ordered High- T c Superconductor journal September 2007
Mass hierarchy in collective modes of pair-density-wave superconductors journal January 2020
Ground state phase diagram of the doped Hubbard model on the four-leg cylinder journal July 2020
Doping a Mott insulator: Physics of high-temperature superconductivity journal January 2006
Colloquium : Theory of intertwined orders in high temperature superconductors journal May 2015
Evidence of pair-density wave in spin-valley locked systems journal March 2019
The Resonating Valence Bond State in La2CuO4 and Superconductivity journal March 1987
The Relationship Between High-Temperature Superconductivity and the Fractional Quantum Hall Effect journal October 1988
Neutron scattering in the proximate quantum spin liquid α-RuCl 3 journal June 2017
Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t journal September 2019
Magnetic field–induced pair density wave state in the cuprate vortex halo journal June 2019
Quantum spin liquids journal January 2020
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials journal March 2016
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond journal March 2020

Related Subjects