From real materials to model Hamiltonians with density matrix downfolding

التفاصيل البيبلوغرافية
العنوان: From real materials to model Hamiltonians with density matrix downfolding
المؤلفون: Zheng, Huihuo, Changlani, Hitesh J., Williams, Kiel T., Busemeyer, Brian, Wagner, Lucas K.
المصدر: Frontiers in Physics 6:43 (2018)
سنة النشر: 2017
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Materials Science
الوصف: Due to advances in computer hardware and new algorithms, it is now possible to perform highly accurate many-body simulations of realistic materials with all their intrinsic complications. The success of these simulations leaves us with a conundrum: how do we extract useful physical models and insight from these simulations? In this article, we present a formal theory of downfolding--extracting an effective Hamiltonian from first-principles calculations. The theory maps the downfolding problem into fitting information derived from wave functions sampled from a low-energy subspace of the full Hilbert space. Since this fitting process most commonly uses reduced density matrices, we term it density matrix downfolding (DMD).
Comment: 24 pages, 12 figures; Huihuo Zheng and Hitesh J. Changlani contributed equally to this work
نوع الوثيقة: Working Paper
DOI: 10.3389/fphy.2018.00043
URL الوصول: http://arxiv.org/abs/1712.00477
رقم الأكسشن: edsarx.1712.00477
قاعدة البيانات: arXiv