广义狄拉克哈密顿的微观格林函数方法

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy
Jeyson Támara-Isaza, Pablo Burset, William J. Herrera
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引用次数: 0

摘要

相对论狄拉克哈密顿描述了低能电子激发的凝聚态物质系统--狄拉克材料,随着人们对这种材料的兴趣日益浓厚,需要建立微观有效模型来分析描述它们的输运特性。具体来说,为了研究量子输运,这些有效模型必须考虑到微观尺度界面的影响和定义明确的边缘的存在,同时再现正确的带状结构。我们开发了一种通用方法来分析计算狄拉克材料的微观格林函数,该方法适用于具有之字形或扶手椅边缘方向的无限、半无限和有限二维层。我们测试了我们的方法,计算了锗烯和半导体过渡金属二钙化物的状态密度、散射概率和拓扑特性,得到了简单的分析公式。我们的结果为解释狄拉克材料的输运实验提供了一个低计算成本的有用分析工具,该工具可扩展用于描述额外的自由度,如额外层、超导性等。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Microscopic Green's function approach for generalized Dirac Hamiltonians

Microscopic Green's function approach for generalized Dirac Hamiltonians
The rising interest in Dirac materials, condensed-matter systems where low-energy electronic excitations are described by the relativistic Dirac Hamiltonian, entails a need for microscopic effective models to analytically describe their transport properties. Specifically, for the study of quantum transport these effective models must take into account the effect of microscopic scale interfaces and the presence of well-defined edges, while reproducing the correct band structure. We develop a general method to analytically compute the microscopic Green's function of Dirac materials valid for infinite, semi-infinite, and finite two-dimensional layers with zigzag or armchair edge orientations. We test our method computing the density of states, scattering probabilities and topological properties of germanene and semiconducting transition metal dichalcogenides, obtaining simple analytical formulas. Our results provide a useful analytical tool with low computational cost for the interpretation of transport experiments on Dirac materials which could be extended to describe additional degrees of freedom like extra layers, superconductivity, etc.
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来源期刊
Physical Review B
Physical Review B 物理-物理:凝聚态物理
CiteScore
6.70
自引率
32.40%
发文量
0
审稿时长
3.0 months
期刊介绍: Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter
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