Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 1

Resonance

article

Anantha Hegde¹  Adarsh Kumar¹  Adhip Agarwala¹  Bhaskaran Muralidharan¹ 

[1] Department of Physics at IIT Kanpur

关键词: Quantum mechanics;    topological phases;    second quantization;    momentum states;    band structure.;   

DOI  :  10.1007/s12045-022-1470-7

学科分类：社会科学、人文和艺术（综合）

来源: Springer

【 摘 要 】

Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases, particularly the Su--Schrie-ffer--Heeger model. In the process, we delve upon ideas of entanglement using the correlator method and the von-Neumann density-matrix method, geometric phase, polarization, transport signatures and the role of electron-electron interactions. Through hands-on numerical experiments, whose codes are shared (https://github.com/hnoend/SSH_codes), we try to drive home the message of why a program of simulating quantum electronics with topological toy models is the storehouse for discovering fantastic physics ideas.

【 授权许可】

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