Quantum critical duality in two-dimensional Dirac semimetals

doi:10.1088/1674-1056/28/1/017402

Abstract

Quantum criticality is closely related to the existence of two phases with unrelated symmetry breaking. In this paper, we study Néel and Kekulé valence bond state (VBS) quantum criticality in Dirac semimetals with four-fermion interactions. Our results show that all possible dynamical masses yield the same critical coupling, which exhibits the phenomenon that all possible phases meet at a multicritical point (e.g., a tricritical point for the Néel, Kekulé-VBS and semimetallic phases). In terms of the well-established Wess-Zumino-Witten field theory, we investigate the typical criticality for the transition between Néel and Kekulé-VBS phases, and the compatible Néel-Kekulé-VBS mass matrices imply the existence of a non-Landau transition between the Néel and Kekulé-VBS phases. We show the existence of mutual duality in the defect-driven Néel-Kekulé-VBS transition near the non-Landau critical point and find that this mutual duality results from the presence of a mutual Chern-Simons term. We also study the mutual duality based on dual topological excitations.

Keywords: quantum criticality duality semimetal-insulator transition spin-charge separation

Received: 20 June 2018
Revised: 27 October 2018
Accepted manuscript online:

PACS:	74.40.Kb	(Quantum critical phenomena)
	73.22.Gk	(Broken symmetry phases)
	71.30.+h	(Metal-insulator transitions and other electronic transitions)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11647111, 11504285, and 11674026) and the Research Start-up Funds of Guizhou University, China (Grant No. 201538).

Corresponding Authors: Su-Peng Kou
E-mail: spkou@bnu.edu.cn

Cite this article:

Jiang Zhou(周江), Ya-Jie Wu(吴亚杰), Su-Peng Kou(寇谡鹏) Quantum critical duality in two-dimensional Dirac semimetals 2019 Chin. Phys. B 28 017402

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Quantum critical duality in two-dimensional Dirac semimetals

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