Topological Superconductivity in the Doped Chiral Spin Liquid on the Triangular Lattice

Yi-Fan Jiang and Hong-Chen Jiang
Phys. Rev. Lett. 125, 157002 – Published 9 October 2020
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Abstract

It has long been proposed that doping a chiral spin liquid (CSL) or fractional quantum Hall state can give rise to topological superconductivity. Despite intensive effort, definitive evidences still remain lacking. We address this problem by studying the tJ model supplemented by time-reversal symmetry breaking chiral interaction Jχ on the triangular lattice using density-matrix renormalization group with a finite concentration δ of doped holes. It has been established that the undoped, i.e., δ=0, system has a CSL ground state in the parameter region 0.32Jχ/J0.56. Upon light doping, we find that the ground state of the system is consistent with a Luther-Emery liquid with power-law superconducting and charge-density-wave correlations but short-range spin-spin correlations. In particular, the superconducting correlations, whose pairing symmetry is consistent with d±id wave, are dominant at all hole doping concentrations. Our results provide direct evidences that doping the CSL on the triangular lattice can naturally give rise to topological superconductivity.

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  • Received 26 March 2020
  • Revised 4 August 2020
  • Accepted 15 September 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.157002

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yi-Fan Jiang and Hong-Chen Jiang*

  • Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, California 94025, USA

  • *hcjiang@stanford.edu

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Issue

Vol. 125, Iss. 15 — 9 October 2020

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