# Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism

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• Publication Date:
2020
• Collection:
Condensed Matter
• Abstract:
Incommensurability plays a critical role not only in the strongly correlated systems such as frustrated quantum magnets. Meanwhile, the origin of such exotic order can be theoretically understood in the framework of quantum domain wall excitations. Here, we study the extended anisotropic transverse Ising model in the triangular lattice. Using the large scale quantum Monte Carlo simulations, we find that spatial anisotropy can stabilize the incommensurate phase out of the commensurate clock phase. Both the structure factor and the domain wall density exhibit the linear relationship between incommensurate order wave vector and number of domain walls, which is reminiscent of hole density in under-doped cuprate superconductors. Different from an indirect clue of the domain wall's existence, we find direct evidence from the features in the excitation spectrum. On the other hand, when introducing the next nearest neighbor interaction, we observed a novel quantum tricritical point related to the incommensurate phase. After carefully analyzing the energy of the ground state with different domain wall numbers, we conclude this tricriticality is non-trivial because it is caused by effective long-range inter-domain wall interactions with two competing terms $\frac{B}{r^{\alpha}}-\frac{C}{r^{\gamma}}$. At last, we focus on the clock phase, which is highly related to recently discovered material TmMgGaO$_4$, and find that the so-called "roton" mode results from the merging of domain wall mode and vortex-antivortex mode which breaks the local constraint of spin configuration.
• Accession Number:
edsarx.2005.11133
• Citations
• ABNT:
ZHOU, Z. et al. Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism. [s. l.], 2020. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580. Acesso em: 4 jul. 2020.
• AMA:
Zhou Z, Liu D-X, Yan Z, Chen Y, Zhang X-F. Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism. 2020. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580. Accessed July 4, 2020.
• AMA11:
Zhou Z, Liu D-X, Yan Z, Chen Y, Zhang X-F. Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism. Published online 2020. Accessed July 4, 2020. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580
• APA:
Zhou, Z., Liu, D.-X., Yan, Z., Chen, Y., & Zhang, X.-F. (2020). Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism.
• Chicago/Turabian: Author-Date:
Zhou, Zheng, Dong-Xu Liu, Zheng Yan, Yan Chen, and Xue-Feng Zhang. 2020. “Quantum Tricriticality of Incommensurate Phase Induced by Quantum Domain Walls in Frustrated Ising Magnetism.” http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580.
• Harvard:
Zhou, Z. et al. (2020) ‘Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism’. Available at: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580 (Accessed: 4 July 2020).
• Harvard: Australian:
Zhou, Z, Liu, D-X, Yan, Z, Chen, Y & Zhang, X-F 2020, ‘Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism’, viewed 4 July 2020, .
• MLA:
Zhou, Zheng, et al. Quantum Tricriticality of Incommensurate Phase Induced by Quantum Domain Walls in Frustrated Ising Magnetism. 2020. EBSCOhost, search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580.
• Chicago/Turabian: Humanities:
Zhou, Zheng, Dong-Xu Liu, Zheng Yan, Yan Chen, and Xue-Feng Zhang. “Quantum Tricriticality of Incommensurate Phase Induced by Quantum Domain Walls in Frustrated Ising Magnetism,” 2020. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580.
• Vancouver/ICMJE:
Zhou Z, Liu D-X, Yan Z, Chen Y, Zhang X-F. Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism. 2020 [cited 2020 Jul 4]; Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.2005.11133&custid=s6224580