Beyond-mean-field studies of Wigner crystal transitions in various interacting two-dimensional systems

doi:arXiv:2409.14658

	Beyond-mean-field studies of Wigner crystal transitions in various interacting two-dimensional systems
	Guo, Zhongqing1 ; Liu, Jianpeng1,2,3
	2024-09-23
状态	已发表
摘要	In this work, we theoretically study Wigner crystal (WC) transitions in various interacting twodimensional electron gas (2DEG) models, including both conventional 2DEG model and “n-order” Dirac fermion models with energy-momentum dispersion E_k â ¼ kⁿ , with n being positive integer. A general “GW+RPA” framework to treat single-particle spectra and ground-state energies in 2D systems has been developed. Within such a framework, we first calculate the single-particle excitation spectra of a conventional 2DEG system with GW approximation for both Wigner-crystal state and Fermi-liquid (FL) state, in which the frequency dependent dielectric function is treated using a multiple-plasma-pole approach. Then, the correlation energy with random phase approximation (RPA) is further calculated based on the GW single-particle spectra. By comparing the total energies of WC and FL states, our GW+RPA approach gives a critical Wigner-Seitz radius r â s â ¼ 19.2 for the WC transition in conventional 2DEG system.We then apply such GW+RPA method to single-flavor n-order Dirac fermion models, unveiling the unique single-particle excitation spectra in these models. We further find that charge fluctuations would de-stabilize the presumable WC states, including both topologically trivial and nontrivial WC states. Our method can be readily applied to other interacting 2D systems described by continuum models such as moirÂ´e superlattices.
语种	英语
DOI	arXiv:2409.14658
相关网址	查看原文
出处	Arxiv
收录类别	PPRN.PPRN
WOS记录号	PPRN:96372092
WOS类目	Physics, Condensed Matter
资助项目	National Natural Science Foundation of China[12174257] ; National Key R & D program of China["2024YFA1410400","2020YFA0309601"]
文献类型	预印本
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/430445
专题	物质科学与技术学院物质科学与技术学院_博士生物质科学与技术学院_PI研究组_刘健鹏组
通讯作者	Liu, Jianpeng
作者单位	1.ShanghaiTech Univ, Sch Phys Sci & Technol, Shanghai 201210, Peoples R China 2.ShanghaiTech Univ, ShanghaiTech Lab Topol Phys, Shanghai 201210, Peoples R China 3.Liaoning Acad Mat, Shenyang 110167, Peoples R China
推荐引用方式 GB/T 7714	Guo, Zhongqing,Liu, Jianpeng. Beyond-mean-field studies of Wigner crystal transitions in various interacting two-dimensional systems. 2024.