Download presentation

Presentation is loading. Please wait.

1
**Spin order in correlated electron systems**

Yukawa Institute for Theoretical Physics Zhi Li

2
**Outline Variety of spin order in condensed matter**

1.1 Collinear spin order 1.2 Non-collinear spin order Theory and calculation 2.1 The form of wave function 2.2 Introduction about DFT calculation 2.3 Helical spin order in BaFeO3 3. Summary

3
1. Variety of spin order 1.1 Collinear spin order Ferromagnetism Such as, Fe Anti-ferromagnetism Such as, NiO Ferrimagnetism Such as, Fe3O4, yttrium iron garnet Spin density wave state in Cr

4
1. Variety of spin order 1.2 Non-collinear spin order Example: Spiral spin (fcc Fe) The position dependent spin moment could be written as Vector q is the wave vector of the spiral spin order

5
**2.1 The form of wave function**

If the electronic system is spin ordered, the form of the wave function has a constraint. A concrete example: Spiral spin n, l : lattice and orbital index Basis function could be plane wave, or Wannier function, or atomic orbital wave function.

6
**2.1 The form of wave function**

Check the spin moment in this from of wave function:

7
**2.1 The form of wave function**

Many-body Hamiltonian: Total energy note: 1. The wave vector q is coupled to the momentum 2. Generally speaking, the interacting term should be in form of matrix 3. It is almost impossible to get the wave vector q by analytical method

8
**2.2 Introduction about DFT Calculation**

The first-principles calculation based on density functional theory (DFT) The total energy of system is in the functional of density matrix expressed in single electronic state Single electron equation

9
**2.3 Helical spin order in BaFeO3**

Wave vector dependent total energy

10
Summary This is a simple introduction about the spin order in correlated electron system. 1. The form of the wave function 2. DFT calculation

Similar presentations

OK

Chapter 7: Quantum Mechanical Model of Atom CHE 123: General Chemistry I Dr. Jerome Williams, Ph.D. Saint Leo University.

Chapter 7: Quantum Mechanical Model of Atom CHE 123: General Chemistry I Dr. Jerome Williams, Ph.D. Saint Leo University.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on stock exchange market Ppt on model view controller framework Ppt on mary kay ash Ppt on economic order quantity pdf Ppt on indian financial market Ppt on statistics in maths what does mode Ppt on mauryan period Ppt on different types of houses in india Reliability of the bible ppt on how to treat Ppt on bond length and bond