Bogoliubov excitations in the Bose-Hubbard extension of a Weyl semimetal

Ya-Jie Wu, Wen-Yan Zhou, and Su-Peng Kou
Phys. Rev. A 95, 023620 – Published 21 February 2017

Abstract

In this paper, a Bose-Hubbard extension of a Weyl semimetal is proposed that can be realized for ultracold atoms using laser-assisted tunneling and Feshbach resonance technique in three-dimensional optical lattices. The global phase diagram is obtained consisting of a superfluid phase and various Mott insulator phases by using Landau theory. The Bogoliubov excitation modes for the weakly interacting case have nontrivial properties (Weyl nodes, bosonic surface arc, etc.), analogs of those in Weyl semimetals of electronic systems, which are smoothly carried over to those of Bloch bands for the noninteracting case. The properties of the insulating phases for the strongly interacting case are explored by calculating both the quasiparticle and quasihole dispersion relation, which shows that two quasiparticle spectra touch at Weyl nodes.

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  • Received 4 December 2016

DOI:https://doi.org/10.1103/PhysRevA.95.023620

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Ya-Jie Wu1, Wen-Yan Zhou2, and Su-Peng Kou2,*

  • 1School of Science, Xi'an Technological University, Xi'an 710032, China
  • 2Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China

  • *spkou@bnu.edu.cn

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Issue

Vol. 95, Iss. 2 — February 2017

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