How do spins interact with

Slides:

Advertisements

Similar presentations

Writing and reading spin information on mobile electronic qubits Writing and reading spin information on mobile electronic qubits Symposium on Spin Physics.

Advertisements

Spintronics: How spin can act on charge carriers and vice versa

Spintronics The Search for Effective Spin Polarized Current Injection Into Semiconductors Presented by Alan Gabel Boston University Introduction to Solid.

Lecture 1: A New Beginning References, contacts, etc. Why Study Many Body Physics? Basis for new Devices Complex Emergent Phenomena Describe Experiments.

Spintronics and Magnetic Semiconductors Joaquín Fernández-Rossier, Department of Applied Physics, University of Alicante (SPAIN) Alicante, June

LPS Quantum computing lunchtime seminar Friday Oct. 22, 1999.

P461 - magnetism1 Magnetic Properties of Materials H = magnetic field strength from macroscopic currents M = field due to charge movement and spin in atoms.

Today’s Lecture ●Spatial Quantisation ●Angular part of the wave function ●Spin of the electron ●Stern – Gerlach experiment ●Internal magnetic fields in.

1 Motivation: Embracing Quantum Mechanics Feature Size Transistor Density Chip Size Transistors/Chip Clock Frequency Power Dissipation Fab Cost WW IC Revenue.

Magnetoelectronics Wykłady dla doktorantów Politechniki Warszawskiej 5 styczeń 2005 Tomasz Stobiecki AGH Katedra Elektroniki.

Chapter 8 Periodic Properties of the Elements. Electron Spin experiments by Stern and Gerlach showed a beam of silver atoms is split in two by a magnetic.

Spintronic Devices and Spin Physics in Bulk Semiconductors Marta Luengo-Kovac June 10, 2015.

PAPER PRESENTATION ON SPINTRONICS ( APPLICATION OF NANOTECHNOLOGY )

MAGNETIC MATERIALS  Origin of Magnetism  Types of Magnetism  Hard and Soft Magnets Magnetic Materials – Fundamentals and Device Applications Nicola.

Emerging Memory Technologies

Spintronics Tomas Jungwirth University of Nottingham Institute of Physics ASCR, Prague.

Institute of Physics ASCR

Magnetism Physics T Soft Gamma Repeater , is the most powerful known magnetic object in the universe. Only 10 of these unusual objects.

Electronic and Magnetic Structure of Transition Metals doped GaN Seung-Cheol Lee, Kwang-Ryeol Lee, Kyu-Hwan Lee Future Technology Research Division, KIST,

Georgia Performance Standard

Co-ordination Chemistry Theories of Bonding in Co-ordination compound. 1. Valence Bond Theory 2. Crystal Field Theory 3. Molecular Orbital Theory.

Elshan Akhadov Spin Electronics QuarkNet, June 28, 2002 Peng Xiong Department of Physics and MARTECH Florida State University.

Spintronics. Properties of Electron Electron has three properties. Charge Mass Spin.

Ch4 Fine structure of atoms Magnetic moments Spin of the electron Stern-Gerlach experiment Spectrum of the alkali atoms Spin-orbit coupling (interaction)

Germano Maioli Penello Chapter 7 Magnetism in the localised electron model Presentation based on the book Magnetism: Fundamentals, Damien Gignoux & Michel.

Title: Multiferroics 台灣大學物理系胡崇德 (C. D. Hu) Abstract

Monday, January 31, 2011 A few more instructive slides related to GMR and GMR sensors.

Introduction to Spintronics

Lecture 7. Many-Electron Atoms. Pt.5. Good quantum numbers (Terms & Levels) & the Zeeman effect References Ratner Ch , , Engel Ch.11, Pilar.

© 2014 Pearson Education, Inc. Sherril Soman Grand Valley State University Lecture Presentation Chapter 8-1 Periodic Properties of the Element.

CH Review -- how electric and magnetic fields are created Any charged particle creates an electric field at all points in space around it. A moving.

Recontres du Vietnam August 2006 Electric Polarization induced by Magnetic order Jung Hoon Han Sung Kyun Kwan U. (SKKU) Korea Collaboration Chenglong Jia.

S. E. Thompson EEL Logic Devices Field Effect Devices –Si MOSFET –CNT-FET Coulomb Blockade Devices –Single Electron Devices Spintronics Resonant.

Hiroshima Nov 2006 Electric Polarization induced by Magnetic order Jung Hoon Han Sung Kyun Kwan U. (SKKU) Korea Collaboration Chenglong Jia (KIAS) Shigeki.

1 Quantum Computation with coupled quantum dots. 2 Two sides of a coin Two different polarization of a photon Alignment of a nuclear spin in a uniform.

Optical Pumping Simulation of Copper for Beta-NMR Experiment Julie Hammond Boston University ISOLDE, CERN

What are the magnetic heterolayers good for Basic components of modern spintronic devices Conventional electronics has ignored the spin of the electron.

SPINTRONICS Submitted by: K Chinmay Kumar N/09/

Electron transport in quantum wires subjected to the Rashba SOI

Spin-Orbit Interaction in nanowires

Spin Electronics Peng Xiong Department of Physics and MARTECH

Magnetoresistive Random Access Memory (MRAM)

EE201C: Winter 2012 Introduction to Spintronics: Modeling and Circuit Design Richard Dorrance Yuta Toriyama.

Quantum Statistical Physics

Chapter 41 Atomic Structure

Multiferroics as Data Storage Elements

Perturbation Theory Lecture 2 continue Books Recommended:

Zeeman effect HFS and isotope shift

Chapter 10 Magnetic Properties Introduction 10

5-level Rabi-flopping Rabi-flopping of a 5-level Zeeman split atom:

Quantum Numbers AP Chemistry: Chapter 7.

Chapter 7 Atomic Physics.

Magnetism and Magnetic Materials

Spintronics By C.ANIL KUMAR (07AG1A0411).

Electron Configuration

Chapter 5 Periodicity and the Electronic Structure of Atoms

Hydrogen relativistic effects II

Presented by: Bc. Roman Hollý

Pauli Paramagnetism.

SPINTRONICS DIAS XAVY v ROLL NO:27 EC S3.

The Free Electron Fermi Gas

Chapter 41 Atomic Structure

Ferromagnetism.

Multielectron Atoms The quantum mechanics approach for treating multielectrom atoms is one of successive approximations The first approximation is to treat.

Spin-triplet molecule inside carbon nanotube

The Technology of Future…!

Physics 3313 – Review 2 Wednesday May 5, 2010 Dr. Andrew Brandt

Conduction of Electricity in Solids

Information Storage and Spintronics 18

Presentation transcript:

How do spins interact with their surroundings?

Zeeman effect: Flip spins along magnetic field (Origin of Stern-Gerlach) B H = - m.B = -gmBBSz mB =qħ/2m = 9.27 x 10-24 J/T ≈ 60 meV/T ‘g’ factor ~ 2 for electrons

1 0 0 -1 Magnetic field splits the energy levels B = 0 B ≠ 0 1 0 0 -1 H = -gmBBSz = -gmBBħ/2 B = 0 B ≠ 0

D Ferromagnet: Internal B field can split levels E EF H = - JS1.S2 k H = - JS1.S2 J is the exchange parameter EF E k Internal field B ~ J<S> D

1 0 0 -1 Can we transition between the spins? H = -gmBBSz = -gmBBħ/2 1 0 0 -1 Need (i) an off-diagonal term coupling the states for transitions  E.g., a field along the x-axis (ii) a resonant AC field to provide the transition energy

1 0 0 -1 0 1 1 0 Electron Spin Resonance (ESR) B B1coswt H = -gmBBSz = -gmBBħ/2 1 0 0 -1 H1 = -gmBB1(t)Sx = -(gmBB1ħcoswt)/2 0 1 1 0

Electron Spin Resonance (ESR) B B1coswt iħ/t = [H + H1(t)] y y Solve analytically using some approximations or numerically

Electron Spin Resonance (ESR) B B1coswt P(t) So we can transition between spins with a suitable field

What about internal fields? Exchange fields in metallic magnets Spin-orbit fields in semiconductors

Spin-Orbit coupling + Electron orbiting in electric field of nucleus

+ What the electron sees B ~ v x E Nucleus orbiting, creating a net current and thus  DRUMROLL…. a magnetic field !!

+ What the electron sees The Zeeman coupling of the electron spin to this motional field is the Spin-Orbit effect (within a factor of 2) H ~ -S.B ~ S.(p x E) ~ S.(p x r)dU/dr H ~ -S.L(dU/dr)

S-O coupling: Various manifestations Atom: Gives rise to Hund’s Rule Solid: Split-off states in valence band Gated transistor: Rashba coupling H ~ S.(p x r)E ~ r.(S x p)E ~ (sxky-sykx)Ez

Spintronic Devices

Read: GMR, TMR, spin valves (Memory, Sensors)

Write: MRAMs Rotate with field Write: STTRAMs Rotate with current http://thefutureofthings.com/upload/image/articles/2006/mram/mram-write.jpg Write: STTRAMs Rotate with current Also  Rotate with strain (multiferroics)

Computing: Datta-Das “FET” H = aR (sxky-sykx)Ez Use Rashba field to rotate spins in a modulator with a gate http://www.material.tohoku.ac.jp/~kotaib/jpg/spinFET.jpg

Computing with 104 spins NkTln(pon/poff) for N charges ~kTln(pon/poff) for N spins !!

Using spin for computing All spin Logic Memristors MQCA

Summary: Spin is a new variable. It can be used for energy-efficient Computing Q Transport to calculate Spin current