Stochastic many-body perturbation theory for Moiré states in twisted bilayer phosphorene.

J Phys Condens Matter

Department of Chemical Engineering, University of California, Santa Barbara, CA 93106-9510, United States of America.

Published: May 2020

AI Article Synopsis

  • The study develops a method called stochastic many-body perturbation theory to analyze quasiparticle excitations in twisted bilayer phosphorene under 2D periodic boundary conditions.
  • This approach is efficient and can handle large systems with over 2700 atoms and more than 13,500 valence electrons, revealing interesting properties like band splitting and localized impurity states caused by structural changes.
  • Findings suggest that the energy variations of these impurity states, influenced by the twisting angle and other effects, could be relevant for understanding various low-dimensional materials with similar Moiré structures.

Article Abstract

We implement stochastic many-body perturbation theory for systems with 2D periodic boundary conditions. The method is used to compute quasiparticle excitations in twisted bilayer phosphorene. Excitation energies are studied using stochastic [Formula: see text] and partially self-consistent [Formula: see text] approaches. The approach is inexpensive; it is used to study twisted systems with unit cells containing  >2700 atoms (>13 500 valence electrons), which corresponds to a minimum twisting angle of [Formula: see text] [Formula: see text]. Twisted bilayers exhibit band splitting, increased localization and formation of localized Moiré impurity states, as documented by band-structure unfolding. Structural changes in twisted structures lift band degeneracies. Energies of the impurity states vary with the twisting angle due to an interplay between non-local exchange and polarization effects. The mechanisms of quasiparticle energy (de)stabilization due to twisting are likely applicable to a wide range of low-dimensional Moiré superstructures.

Download full-text PDF

Source
http://dx.doi.org/10.1088/1361-648X/ab6d8cDOI Listing

Publication Analysis

Top Keywords

[formula text]
16
stochastic many-body
8
many-body perturbation
8
perturbation theory
8
twisted bilayer
8
bilayer phosphorene
8
twisting angle
8
impurity states
8
twisted
5
theory moiré
4

Similar Publications

Tensor networks enable the calculation of turbulence probability distributions.

Sci Adv

January 2025

Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA.

Predicting the dynamics of turbulent fluids has been an elusive goal for centuries. Even with modern computers, anything beyond the simplest turbulent flows is too chaotic and multiscaled to be directly simulatable. An alternative is to treat turbulence probabilistically, viewing flow properties as random variables distributed according to joint probability density functions (PDFs).

View Article and Find Full Text PDF

Strong precursor softening in cubic CaSiO perovskite.

Proc Natl Acad Sci U S A

February 2025

Department of Earth Sciences, University College London, London WC1E 6BT, United Kingdom.

CaSiO[Formula: see text] perovskite (CaPv) is the last major mineral in the Earth's lower mantle whose elasticity remains largely unresolved. Here, we investigate the elasticity of CaPv using ab initio machine-learning force fields (MLFF). At room temperature, the elasticity of tetragonal CaPv determined by MLFF molecular dynamics (MD) agrees well with experimental measurements after considering temperature induced variations in the hydrostatic structure, proving the effectiveness of the method.

View Article and Find Full Text PDF

The role of oscillations in grid cells' toroidal topology.

PLoS Comput Biol

January 2025

Kavli Institute for Systems Neuroscience and Centre for Algorithms in the Cortex, Faculty of Medicine and Health Sciences, Norwegian University of Science and Technology, Trondheim, Norway.

Persistent homology applied to the activity of grid cells in the Medial Entorhinal Cortex suggests that this activity lies on a toroidal manifold. By analyzing real data and a simple model, we show that neural oscillations play a key role in the appearance of this toroidal topology. To quantitatively monitor how changes in spike trains influence the topology of the data, we first define a robust measure for the degree of toroidality of a dataset.

View Article and Find Full Text PDF

Population pharmacokinetics and pulmonary modeling of eravacycline and the determination of microbiological breakpoint and cutoff of PK/PD.

Antimicrob Agents Chemother

January 2025

Department of Clinical Pharmacy and Pharmacy Administration, School of Pharmacy, Fudan University, Shanghai, China.

Eravacycline is a broad-spectrum fluorocycline currently approved for complicated intra-abdominal infections (cIAIs). In lung-infection models, it is effective against methicillin-resistant (MRSA) and tetracycline-resistant MRSA. As such, we aimed to develop a population pharmacokinetic/pharmacodynamic (PK/PD) model to evaluate eravacycline's pulmonary distribution and kinetics.

View Article and Find Full Text PDF

A Game of Life with dormancy.

Proc Biol Sci

January 2025

Department of Biology, Indiana University, Bloomington, IN 47405, USA.

The factors contributing to the persistence and stability of life are fundamental for understanding complex living systems. Organisms are commonly challenged by harsh and fluctuating environments that are suboptimal for growth and reproduction, which can lead to extinction. Many species contend with unfavourable and noisy conditions by entering a reversible state of reduced metabolic activity, a phenomenon known as dormancy.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!