Gapless spin liquid ground state of the spin-$\frac{1}{2}$ ${J}_{1}\ensuremath{-}{J}_{2}$ Heisenberg model on square lattices

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Gapless spin liquid ground state of the spin- $\frac{1}{2}$ $J_{1} - J_{2}$ Heisenberg model on square lattices

Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He

Phys. Rev. B 98, 241109(R) – Published 17 December 2018

Abstract

The spin- $\frac{1}{2}$ $J_{1} - J_{2}$ Heisenberg model on square lattices is investigated via the finite projected entangled pair states (PEPS) method. Using the recently developed gradient optimization method combined with Monte Carlo sampling techniques, we are able to obtain the ground state energies that are competitive with the best results. The calculations show that there is no Néel order, dimer order, or plaquette order in the region of $0.42 ≲ J_{2} / J_{1} ≲ 0.6$ , suggesting a single spin liquid phase in the intermediate region. Furthermore, the calculated staggered spin, dimer, and plaquette correlation functions all have power law decay behaviors, which provide strong evidence that the intermediate nonmagnetic phase is a single gapless spin liquid state.

Received 18 June 2018
Revised 11 November 2018

DOI:https://doi.org/10.1103/PhysRevB.98.241109

Physics Subject Headings (PhySH)

Frustrated magnetism Magnetic phase transitions Quantum spin liquid

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Wen-Yuan Liu^1,2, Shaojun Dong^1,2, Chao Wang^1,2, Yongjian Han^1,2,*, Hong An³, Guang-Can Guo^1,2, and Lixin He^1,2,†

¹Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, China
²Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
³School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, China

^*smhan@ustc.edu.cn
^†helx@ustc.edu.cn

Comments & Replies

Comment on “Gapless spin liquid ground state of the spin- $\frac{1}{2} J_{1} - J_{2}$ Heisenberg model on square lattices”

Bowen Zhao, Jun Takahashi, and Anders W. Sandvik

Phys. Rev. B 101, 157101 (2020)

Reply to “Comment on ‘Gapless spin liquid ground state of the spin- $\frac{1}{2} J_{1} - J_{2}$ Heisenberg model on square lattices' ”

Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He

Phys. Rev. B 101, 157102 (2020)

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Vol. 98, Iss. 24 — 15 December 2018

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Physical Review B

covering condensed matter and materials physics

Gapless spin liquid ground state of the spin- $\frac{1}{2}$ $J_{1} - J_{2}$ Heisenberg model on square lattices

Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He

Phys. Rev. B 98, 241109(R) – Published 17 December 2018

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Comments & Replies

Comment on “Gapless spin liquid ground state of the spin- $\frac{1}{2} J_{1} - J_{2}$ Heisenberg model on square lattices”

Bowen Zhao, Jun Takahashi, and Anders W. Sandvik

Phys. Rev. B 101, 157101 (2020)

Reply to “Comment on ‘Gapless spin liquid ground state of the spin- $\frac{1}{2} J_{1} - J_{2}$ Heisenberg model on square lattices' ”

Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He

Phys. Rev. B 101, 157102 (2020)

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Physical Review B

covering condensed matter and materials physics

Gapless spin liquid ground state of the spin-12 J1−J2 Heisenberg model on square lattices

Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He

Phys. Rev. B 98, 241109(R) – Published 17 December 2018

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Comments & Replies

Comment on “Gapless spin liquid ground state of the spin-12 J1−J2 Heisenberg model on square lattices”

Bowen Zhao, Jun Takahashi, and Anders W. Sandvik

Phys. Rev. B 101, 157101 (2020)

Reply to “Comment on ‘Gapless spin liquid ground state of the spin-12J1−J2 Heisenberg model on square lattices' ”

Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He

Phys. Rev. B 101, 157102 (2020)

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Gapless spin liquid ground state of the spin- $\frac{1}{2}$ $J_{1} - J_{2}$ Heisenberg model on square lattices

Comment on “Gapless spin liquid ground state of the spin- $\frac{1}{2} J_{1} - J_{2}$ Heisenberg model on square lattices”

Reply to “Comment on ‘Gapless spin liquid ground state of the spin- $\frac{1}{2} J_{1} - J_{2}$ Heisenberg model on square lattices' ”