Locally self-consistent embedding approach for disordered electronic systems

Zhang Yi; Terletska Hanna; Tam Ka-Ming; Wang Yang; Eisenbach Markus; Chioncel Liviu; Jarrell Mark

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Locally self-consistent embedding approach for disordered electronic systems

机译：无序电子系统的局部自洽嵌入方法

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We present an embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used to efficiently compute the local Green's function of a supercell embedded into a local typical medium. We find a quick convergence as the size of the local interaction zone which reduces the computational costs as expected. This method captures the Anderson localization transition and accurately predicts the critical disorder strength. The present work opens the path towards the development of a typical medium embedding scheme for the O(N) multiple scattering methods.

机译：我们提出了一种嵌入的局部自洽方法来研究无序电子系统。我们在紧密绑定的基础上测试此方法，并将其应用于单波段Anderson模型。本地交互区域用于有效地计算嵌入到本地典型介质中的超级小区的本地格林函数。我们发现快速收敛是局部交互区域的大小，这可以按预期减少计算成本。该方法捕获了安德森局部化转变并准确地预测了临界无序强度。本工作为O（N）多重散射方法的典型介质嵌入方案的开发开辟了道路。

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《Physical review》 |2019年第5期|054205.1-054205.7|共7页
作者
Zhang Yi; Terletska Hanna; Tam Ka-Ming; Wang Yang; Eisenbach Markus; Chioncel Liviu; Jarrell Mark;
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Louisiana State Univ Dept Phys & Astron Baton Rouge LA 70803 USA|Louisiana State Univ Ctr Computat & Technol Baton Rouge LA 70803 USA;

Middle Tennessee State Univ Dept Phys & Astron Murfreesboro TN 37132 USA;

Carnegie Mellon Univ Pittsburgh Supercomp Ctr Pittsburgh PA 15213 USA;

Oak Ridge Natl Lab Ctr Computat Sci POB 2009 Oak Ridge TN 37831 USA;

Univ Augsburg Theoret Phys 3 Ctr Elect Correlat & Magnetism Inst Phys D-86135 Augsburg Germany|Univ Augsburg Augsburg Ctr Innovat Technol D-86135 Augsburg Germany;

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1. Locally self-consistent embedding approach for disordered electronic systems [J] . Zhang Yi, Terletska Hanna, Tam Ka-Ming, Physical review, B . 2019,第5期

机译：无序电子系统的本地自我一致的嵌入方法
2. LOCALLY SELF-CONSISTENT GREENS FUNCTION APPROACH TO THE ELECTRONIC STRUCTURE PROBLEM [J] . Abrikosov IA., Johansson B., Ruban AV., Physical Review, B. Condensed Matter . 1997,第15期

机译：电子结构问题的局部自洽格林函数方法
3. Approaching periodic systems by a self-consistent embedding of a finite cluster [J] . Miguel B., Guihery N., Malrieu JP., Chemical Physics Letters . 1998,第1a2期

机译：通过有限簇的自洽嵌入来逼近周期系统
4. A systematic approach for embedding distinct Hamiltonian cycles with a prescribed edge in a locally twisted cube [C] . Chia-Jui Lai, Jheng-Cheng Chen, Chang-Hsiung Tsai International Conference on Computer Engineering and Technology;ICCET 2010 . 2010

机译：在局部扭曲的立方体中嵌入具有指定边的不同哈密顿环的系统方法
5. Embedding Power: A Real Time Approach in Incorporating Switching Power Converters within Low- Cost Embedded Systems [D] . Juneja, Avik 2015

机译：嵌入功率：在低成本嵌入式系统中结合开关功率转换器的实时方法
6. Locally Embedding Autoencoders: A Semi-Supervised Manifold Learning Approach of Document Representation [O] . Chao Wei, Senlin Luo, Xincheng Ma, 2011

机译：局部嵌入自动编码器：一种半监督的流形学习的文档表示形式
7. Locally self-consistent embedding approach for disordered electronic systems [O] . Yi Zhang, Hanna Terletska, Ka-Ming Tam, 2019

机译：无序电子系统的本地自我一致的嵌入方法
8. Two Potential Embedding Approach to the Electronic Structure of Disordered Binary Alloys. [R] . Ahmed, M., Mookerjee, A. 1988

机译：无序二元合金电子结构的两种可能嵌入方法。

Locally self-consistent embedding approach for disordered electronic systems

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