Magnetic anisotropies in nanostructured matter:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2009
|
| Series: | Series in condensed matter physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIII, 310 S. Ill., graph. Darst. |
| ISBN: | 9781420072655 |
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MARC
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| 245 | 1 | 0 | |a Magnetic anisotropies in nanostructured matter |c Peter Weinberger |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XIII, 310 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Series in condensed matter physics | |
| 650 | 4 | |a Nanostructures | |
| 650 | 4 | |a Anisotropy | |
| 650 | 4 | |a Nanostructured materials |x Magnetic properties | |
| 650 | 4 | |a Nanoscience | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Biography
xi
Acknowledgments
xiii
1
Introduction
1
2
Preliminary considerations
9
2.1
Parallel,
antiparallel,
collinear
&
non-collinear
......... 9
2.2
Characteristic volumina
..................... 11
2.3
Classical spin vectors and spinors
............... 12
2.3.1
Classical vectors and
Heisenberg
models
....... 12
2.3.2
Spinors and Kohn-Sham Hamiltonians
......... 13
2.4
The famous spin-orbit interaction
................ 14
2.4.1
The central field formulation
.............. 15
3
Symmetry considerations
17
3.1
Translational
invariance
..................... 17
3.2
Rotational
invariance
....................... 18
3.3
Colloquial or parent lattices
................... 18
3.4
Tensorial
products of spin and configuration
.......... 20
3.4.1
Rotational properties
................... 20
3.4.2
Local spin density functional approaches
........ 22
3.4.3
Induced transformations
................. 23
3.4.4
Non-relativistic approaches
............... 23
3.4.5
Translational properties
................. 24
3.5
Cell-dependent potentials and exchange fields
......... 24
3.6
Magnetic configurations
..................... 26
4
Green s functions and multiple scattering
29
4.1
Resolvents and Green s functions
................ 29
4.2
The Dyson equation
....................... 30
4.3
Scaling transformations
..................... 31
4.4
Integrated density of states
................... 31
4.5
Superposition of individual potentials
.............. 33
4.6
The scattering path operator
.................. 33
4.6.1
The single-site T-operator
................ 33
4.6.2
The multi-site T-operator
................ 33
VI
4.6.3
The scattering
path operator
.............. 34
4.7
Angular momentum and partial wave representations
..... 34
4.7.1
Solutions of Wo
......................
35
4.7.2
Solutions of
Ή
...................... 37
4.8
Single particle Green s function
................. 40
4.9
Symmetry aspects
........................ 41
4.10
Charge
&
magnetization densities
................ 42
4.11
Changing the orientation of the magnetization
......... 43
4.12
Screening transformations
.................... 44
4.13
The embedded cluster method
.................. 45
5
The coherent potential approximation
49
5.1
Configurational averages
..................... 49
5.2
Restricted ensemble averages
.................. 50
5.3
The coherent potential approximation
............. 50
5.4
The single site coherent potential approximation
....... 52
5.5
Complex lattices and layered systems
.............. 53
5.6
Remark with respect to systems nanostructured in two dimen¬
sions
................................ 56
6
Calculating magnetic anisotropy energies
57
6.1
Total energies
.......................·. . . . 57
6.2
The magnetic force theorem
................... 59
6.3
Magnetic dipole-dipole interactions
............... 60
6.3.1
No translational symmetry
............... 60
6.3.2
Two-dimensional translational symmetry
........ 61
7
Exchange
&;
Dzyaloshinskii-Moriya interactions
65
7.1
The free energy and its angular derivatives
........... 65
7.1.1
First and second order derivatives of the inverse single
site
t
matrices
....................... 66
7.1.2
Diagonal terms
...................... 66
7.1.3
Off-diagonal terms
.................... 67
7.1.4
An example: a layered system corresponding to a sim¬
ple two-dimensional lattice
................ 68
7.2
An intermezzo: classical spin Hamiltonians
.......... 69
7.2.1
Classical definitions of exchange and Dzyaloshinskii-
Moriya interactions
.................... 69
7.2.2
Second order derivatives of
Ή
.............. 70
7.2.3
Non-relativistic description
............... 71
7.2.4
Relativistic description
.................. 72
7.3
Relations to relativistic multiple scattering theory
....... 72
vu
8
The Disordered Local Moment Method (DLM)
77
8.1
The relativistic DLM method for layered systems
....... 77
8.2
Approximate DLM approaches
................. 79
9
Spin dynamics
83
9.1
The phenomenological Landau-Lifshitz-Gilbert equation
... 83
9.2
The semi-classical Landau-Lifshitz equation
.......... 84
9.3
Constrained density functional theory
............. 84
9.4
The semi-classical Landau-Lifshitz-Gilbert equation
...... 85
9.5
First principles spin dynamics for magnetic systems nano-
structured in two dimensions
.................. 86
9.5.1
FP-SD&ECM
...................... 86
10
The multiple scattering scheme
89
10.1
The quantum mechanical approach
............... 90
10.2
Methodological aspects in relation to magnetic anisotropies
. 91
10.3
Physical properties related to magnetic anisotropies
...... 92
11
Nanostructured in one dimension: free and capped magnetic
surfaces
93
11.1
Reorientation
transitions
..................... 93
11.1.1
The Fen/Au(100) system
................ 94
11.1.2
The system
CoTO/Ni„/Cu(100)
............. 95
11.1.3
Influence of the substrate, repetitions
..........100
11.1.4
Alloying, co-evaporation
.................102
11.1.5
Oscillatory behavior of the magnetic anisotropy en¬
ergy
............................104
11.2
Trilayers, interlayer exchange coupling
.............106
11.2.1
The system Fe/Crn/Fe
..................108
11.2.2
Trilayers: a direct comparison between theory and ex¬
periment
..........................113
11.3
Temperature dependence
.....................117
11.4
A short summary
.........................120
11.4.1
Magnetic anisotropy energy
...............120
11.4.2
Interlayer exchange coupling energy
..........121
12
Nanostructured in one dimension: spin valves
125
12.1
Interdiffusion
at the interfaces
..................126
12.2
Spin valves and non-collinearity
.................128
12.2.1 Co(100)/Cu„/Co(100)
к
(100)Py/Cun/Py(100)
.... 129
12.2.2
Spin valves with exchange bias
.............130
12.3
Switching energies and the phenomenological Landau-Lifshitz-
Gilbert equation
.........................134
12.3.1
Internal effective field
..................136
12.3.2
The characteristic time of switching
..........137
Vlil
12.4
Heteroj
unctions
..........................138
12.4.1
Fe(100)/(ZnSe)n/Fe(100)
................139
12.4.2 Fe(000)/Si„/Fe(100)...................140
12.5
Summary
.............................143
13
Nanostructured in two dimensions: single atoms, finite clus¬
ters
&
wires
147
13.1
Finite clusters
...........................149
13.1.1
Fe, Co and
Ni
atoms on top of Ag(100)
........149
13.2
Finite wires
&
chains of magnetic atoms
............151
13.2.1
Finite chains of Co atoms on Pt(lll)
..........152
13.2.2
Finite chains of Fe on
Cu(lOO) k Cu^ll)
.......153
13.3
Aspects of non-collinearity
....................156
14
Nanostructured in two dimensions: nanocontacts, local al¬
loys
161
14.1
Quantum corrals
.........................161
14.2
Magnetic adatoms
&
surface states
...............162
14.3
Nanocontacts
...........................164
14.4
Local alloys
............................168
14.5
Summary
.............................176
15
A mesoscopic excursion: domain walls
179
16
Theory of electric and magneto-optical properties
185
16.1
Linear response theory
......................185
16.1.1
Time-dependent perturbations
.............185
16.1.2
The
Kubo
equation
....................188
16.1.3
The current-current correlation function
........189
16.2
Kubo
equation for independent particles
............191
16.2.1
Contour integrations
...................192
16.2.2
Formulation in terms of resolvents
...........194
16.2.3
Integration along the real axis: the limit of zero life¬
time broadening
.....................195
16.3
Electric transport
-
the static limit
...............196
16.4
The Kubo-Greenwood equation
.................197
16.4.1
Current matrices
.....................197
16.4.2
Conductivity in real space for a finite number of scat-
terers
...........................198
16.4.3
Two-dimensional translational symmetry
........199
16.4.4
Vertex corrections
....................199
16.4.5
Boundary conditions
...................200
16.5
Optical transport
.........................202
їх
17
Electric
properties of magnetic nanostructured matter
205
17.1
The bulk anisotropic magnetoresistance (AMR)
........ 205
17.2
Current-in-plane
(CIP)
&
the giant magnetoresistance (GMR)
206
17.2.1
Leads
........................... 207
17.2.2
Rotational properties
................... 210
17.3
Current-perpendicular to the planes of atoms (CPP)
..... 213
17.3.1
Sheet resistances
..................... 213
17.3.2
Properties of the leads
.................. 214
17.3.3
Resistivities and boundary conditions
......... 216
17.3.4
Rotational properties
................... 217
17.4
Tunnelling conditions
....................... 217
17.5
Spin-valves
............................ 223
17.6
Heterojunctions
.......................... 224
17.7
Systems nanostructured in two dimensions
........... 228
17.7.1
Embedded magnetic nanostructures
.......... 228
17.7.2
Nanocontacts
....................... 232
17.8
Domain wall resistivities
..................... 234
17.9
Summary
............................. 238
18
Magneto-optical properties of magnetic nanostructured mat¬
ter
243
18.1
The macroscopic model
.....................244
18.1.1
Layer-resolved permittivities
..............244
18.1.2
Mapping:
σ
-*
e
.....................
246
18.1.3
Multiple reflections and optical interferences
......246
18.1.4
Layer-dependent reflectivity matrices
..........250
18.1.5
Kerr rotation and ellipticity angles
...........254
18.2
The importance of the substrate
................255
18.3
The Kerr effect and interlayer exchange coupling
.......256
18.4
The Kerr effect and the magnetic anisotropy energy
.....261
18.5
The Kerr effect in the case of repeated multilayers
......265
18.6
How surface sensitive is the Kerr effect?
............266
18.7
Summary
.............................273
19
Time dependence
277
19.1
Terra incognita
..........................277
19.2
Pump-probe experiments
....................278
19.3
Pulsed electric fields
.......................283
19.4
Spin currents and torques
....................284
19.5
Instantaneous resolvents
&
Green s functions
.........288
19.5.1
Time-dependent resolvents
................289
19.5.2
Time-evolution of densities
...............290
19.6
Time-dependent multiple scattering
...............291
19.6.1
Single-site scattering
...................292
19.6.2
Multiple scattering
....................293
19.6.3
Partiele
and magnetization densities
..........293
19.7
Physical effects to be encountered
................294
19.8
Expectations
...........................297
Afterword
299
Index
301
Series in Condensed Matter Physics
Series Editor:
D R
Vij
¡ETIC
ANÌSOTROPIES IN
NANOSTRUCTURED
MAUER
agnetic Anisotropies in Nanostructured Matter presents a compact
ammary of all the theoretical means to describe magnetic anisotropies
rerlayer exchange coupling in nanosystems. The applications include
s
and capped magnetic surfaces, magnetic atoms on metallic substrates,
>,
nanocontacts, and domain walls. Some applications also deal
jerature-dependent effects and
ab initio
magnetization dynamics.
several introductory chapters, the book presents methods to describe
lisotropic physical properties of magnetic nanostructures. It then focuses
magnetic anisotropy energies, exchange and Dzyaloshinskii-Moriya
ons,
temperature-dependent effects, spin dynamics, and related
:>f systems nanostructured in one and two dimensions. The book
sses how methods of describing electric and magneto-optical
Dperties are applied to magnetic nanostructured matter. It concludes wi
outlook on emerging magnetic anisotropic effects.
cai
i/ritten by a leading researcher with over
35
years of experience in the field,
lis
book examines the theory and modeling of magnetic anisotropies in
materials. It shows how these materials are used in a range
•
¡res
Summarizes the current theoretical means to describe magnetic
anisotropies in nanosystems as well as their electric and magneto-optical
transport properties
Covers important aspects of magnetic nanostructures, including free and
capped magnetic surfaces, magnetic atoms, nanowires, nanocontacts,
and
с
Disc;
s
properties of magnetic nanostructured matter, such as
magnetoresistance, tunneling magnetoresistance, and the Kerr effect
experiments and current-induced phenomena us
.
strattone
of key features of magnetic nanostructures
ι , ι
. .
|
| any_adam_object | 1 |
| author | Weinberger, Peter 1943- |
| author_GND | (DE-588)115471839 |
| author_facet | Weinberger, Peter 1943- |
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| callnumber-subject | QC - Physics |
| classification_rvk | VE 9850 |
| ctrlnum | (OCoLC)176924808 (DE-599)BVBBV035279775 |
| dewey-full | 620.1/1299 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/1299 |
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| dewey-sort | 3620.1 41299 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Chemie / Pharmazie |
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| id | DE-604.BV035279775 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:18Z |
| institution | BVB |
| isbn | 9781420072655 |
| language | English |
| lccn | 2008042181 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017085003 |
| oclc_num | 176924808 |
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| owner | DE-703 DE-29T DE-11 |
| owner_facet | DE-703 DE-29T DE-11 |
| physical | XIII, 310 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| publishDateSort | 2009 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Series in condensed matter physics |
| spelling | Weinberger, Peter 1943- Verfasser (DE-588)115471839 aut Magnetic anisotropies in nanostructured matter Peter Weinberger Boca Raton [u.a.] CRC Press 2009 XIII, 310 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in condensed matter physics Nanostructures Anisotropy Nanostructured materials Magnetic properties Nanoscience Magnetische Anisotropie (DE-588)4168556-8 gnd rswk-swf Nanostrukturiertes Material (DE-588)4342626-8 gnd rswk-swf Nanostrukturiertes Material (DE-588)4342626-8 s Magnetische Anisotropie (DE-588)4168556-8 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017085003&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017085003&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Weinberger, Peter 1943- Magnetic anisotropies in nanostructured matter Nanostructures Anisotropy Nanostructured materials Magnetic properties Nanoscience Magnetische Anisotropie (DE-588)4168556-8 gnd Nanostrukturiertes Material (DE-588)4342626-8 gnd |
| subject_GND | (DE-588)4168556-8 (DE-588)4342626-8 |
| title | Magnetic anisotropies in nanostructured matter |
| title_auth | Magnetic anisotropies in nanostructured matter |
| title_exact_search | Magnetic anisotropies in nanostructured matter |
| title_full | Magnetic anisotropies in nanostructured matter Peter Weinberger |
| title_fullStr | Magnetic anisotropies in nanostructured matter Peter Weinberger |
| title_full_unstemmed | Magnetic anisotropies in nanostructured matter Peter Weinberger |
| title_short | Magnetic anisotropies in nanostructured matter |
| title_sort | magnetic anisotropies in nanostructured matter |
| topic | Nanostructures Anisotropy Nanostructured materials Magnetic properties Nanoscience Magnetische Anisotropie (DE-588)4168556-8 gnd Nanostrukturiertes Material (DE-588)4342626-8 gnd |
| topic_facet | Nanostructures Anisotropy Nanostructured materials Magnetic properties Nanoscience Magnetische Anisotropie Nanostrukturiertes Material |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017085003&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017085003&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT weinbergerpeter magneticanisotropiesinnanostructuredmatter |