Quantum spin liquid from electron–phonon coupling

X Xun Cai (Beijing National Laboratory for Condensed Matter Physics) Z Zhaoyu Han (Institute of Analytical Chemistry and Instrument for Life Science, The Key Laboratory of Biomedical Information Engineering of Ministry of Education, School of Life Science and Technology) Z Zi-Xiang Li (Beijing National Laboratory for Condensed Matter Physics) S Steven A. Kivelson (Geballe Laboratory for Advanced Materials) H Hong Yao

Abstract

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a “nonengineered” microscopic model (or in any material) remains challenging. Here, using numerically exact sign-problem-free quantum Monte Carlo simulations, we show that a QSL arises in a nonengineered electron–phonon model. Specifically, we investigate the ground-state phase diagram of the bond Su–Schrieffer–Heeger model on a 2D triangular lattice at (one electron per site), which we show includes a QSL phase which is fully gapped, exhibits no symmetry-breaking order, and supports deconfined fractionalized holon excitations. This suggests promising routes for finding QSLs in realistic materials and high- T c superconductivity by lightly doping them.

Article Details

Volume / Issue Vol. 122, Issue 33
Published August 19, 2025
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (5)

X

Xun Cai

Beijing National Laboratory for Condensed Matter Physics

Z

Zhaoyu Han

Institute of Analytical Chemistry and Instrument for Life Science, The Key Laboratory of Biomedical Information Engineering of Ministry of Education, School of Life Science and Technology

Z

Zi-Xiang Li

Beijing National Laboratory for Condensed Matter Physics

S

Steven A. Kivelson

Geballe Laboratory for Advanced Materials

H

Hong Yao