2019/09/30 by Sandra Kühn, Sandra C. Kuhn, Marten Richter · 10 citations
Mathematics · Physics and Astronomy · #Biexciton #Electron #Excited state #Exciton #Geometry #Ground state #Logarithm #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Tensor (intrinsic definition) #Trion #cond-mat.mes-hall #cond-mat.mtrl-sci #quant-ph
paper · pdf · doi:10.1103/physrevb.101.075302
published in Physical review. B./Physical review. B 101(7) (American Physical Society)
openalex created_date 2019/10/03 · arxiv created 2020/01/14 · openalex publication_date 2020/02/07 · arxiv updated 2020/02/12 · openalex updated_date 2026/08/05
Recently, in Kuhn and Richter [Phys. Rev. B 99, 241301(R) (2019)], tensor networks built on logical circuits were briefly introduced to retrieve exciton and biexciton states. Compared to a conventional approach the tensor network methods scales logarithmic instead of linear in the grid points of the Brioullin zone and linear instead of exponential in the number of electrons and holes. This enables calculations with higher precision on the full Brioullin zone than previously possible. In this paper extensive details for an efficient implementation and the corresponding mathematical background are presented. In particular, this includes applications and results for excitons, trions, and biexcitons (for monolayer MoS2 as an example), going beyond the initial brief introduction. Furthermore strategies for calculating selective excited bound states and tests of common approximations are discussed making use of the high-accuracy full Brioullin zone treatment of the tensor network method.