hydrogen molecule tutorial magnetic phenomena in …schnack/molmag/... · 2020. 7. 27. ·...
TRANSCRIPT
APS March Meeting, Baltimore, 12 March 2006
TUTORIAL
MAGNETIC PHENOMENA IN CRYSTALS
OF HIGH-SPIN MOLECULES
Eugene M. Chudnovsky
CUNY Lehman College and Graduate School
ninteractio Exchange
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agnetismSuperparamM
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s1990'early al.,et Sessoli :acetate Mn ofy bistabilit Magnetic 12
10 S=
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0],ˆ[ !"# zS
crystal acetate Mn12
nm 731.
nm 24.1
nm 731.
O4HCOOH2CH]O)(HCOO)(CHO[Mn 23421631212 !!
Magnetic clusters:
Mn, Mn2, Mn3, Mn4, [Mn4]2, Mn5, Mn6, Mn7, Mn8, Mn9, Mn10,
Mn11, Mn12, Mn13, Mn16, Mn18, Mn21, Mn24, Mn26, Mn30, Mn84
Fe2, Fe3, Fe4, Fe5, Fe6, Fe7, Fe8, Fe10, Fe11, Fe13, Fe17/19, Fe19
Co4, Co6, Co10
Ni4, Ni5, Ni6, Ni8, Ni12, Ni21, Ni24
Co2Gd2, Co2Dy2, Cr12, CrNi6, CrNi2, CrCo3, Fe10Na2, Fe2Ni3,
Mn2Dy2, Mn2Nd2, V15, Ho, ...
• • • • • •
S = 0, 1/2, 1, 3/2, 2, 5/2, 4, 9/2, 5, …………. 33/2
Quantum Magnetization CurveJ. Friedman, M. Sarachik, J. Tejada, R. Ziolo (PRL - 1996)
Magnetization curve of Fe-8 (W. Wernsdorfer)
-1
-0.5
0
0.5
1
0 0.25 0.5 0.75 1 1.25
140 mT/s
14 mT/s
2.8 mT/s
M/M
S
µ0H(T)
T=40 mK
array of SQUIDs
B
sample
array of SQUIDs
AFM dimer [Mn4]2 , S=±9/2 , Wernsdorfer et al., Nature-2002; Hill et al., Science-2003
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M/M
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T=40 mK
array of SQUIDs
B
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array of SQUIDs
1993-Garg:Theory
0=k
1=k
2=k
1999-Science
Sessoli &r Wernsdorfe
:Experiment
Effect of polarized microwaves on the magnetization curve of Fe-8
L. Sorace, W. Wernsdorfer, C. Thirion, A.-L. Barra, M. Pacchioni, D. Mailly, and
B. Barbara, Phys. Rev. B 68, 220407 (2003)
-10 -5 0 5 10
Energ
y
quantum number m
!M = +1h!
tunnelingh!
!M = -1
H = 0
-1
-0.5
0
0.5
1
-1 -0.5 0 0.5 1
0
0.119
0.151
0.190
0.237
0.256
0.320
0.458
M/M
s
µ0Hz (T)
60 mK
115 GHz
0.007 T/s
P/P0 =
m = 1 to m = 2 transition: f = 0.08 THz
m = 9 to m = 10 transition: f = 0.35 THz
12Mn
Avalanches in Mn-12 Acetate
CCNY Experiment – 2005, Suzuki et al.
Magnetic Deflagration
Magnetic Deflagration
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/
2005)September - Lett. Rev. Phys. al.,et Suzuki (Y.
acetate Mn in ondeflagrati Magnetic 12
Quantum Magnetic Deflagration
[A. Hernandez-Minguez et al, PRL – November 2005]
Lectures on Magnetism(with 128 Problems)
Eugene M. Chudnovsky
Javier Tejada
!" Rinton Press
Lectu
res on
Magn
etis mw
i th 1
28 P
roblem
s
!"
Lectures on Magnetism
with 128 Problems
This book is intended as a compact one-semester course for graduate
and upper-level undergraduate students. It teaches basic language
and ideas that are used by researchers working in the field of
magnetism of solids. In selecting the material the preference has
been given to simple mathematically rigorous models that explain
magnetic phenomena qualitatively. The book consists of three
chapters, twenty four sections; each section being accompanied by
homework problems. Magnetism at the nanometer scale of
individual atoms and molecules is discussed in the first chapter.
Magnetic order at the mesoscopic scale of many interacting atoms
and itinerant electrons is studied in the second chapter. Magnetism at
the macroscopic scale of magnetic domains is considered in the third
chapter. The chapters are connected through demonstration of the
fact that same magnetic phenomena can be looked at from different
angles and described by models that use different techniques. The
book should be useful for students who plan to work in condensed
matter physics and material science. It can also be of interest to
students specializing in other fields because many ideas and methods
initially developed to describe magnetism of solids subsequently
entered other areas of physics.
Visit Rinton Press on the World Wide Web at: http://www.rintonpress.com
E. M
. Ch
ud
novs k
y
J. T
eja
da
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