Bibliography

1

J. Jensen and A. R. Mackintosh,
Rare Earth Magnetism,
Clarendon Press Oxford (1991)

2

M. Rotter, M. Loewenhaupt, S. Kramp, T. Reif, N. M. Pyka, W. Schmidt and R. v. d. Kamp,
``Anisotropic Magnetic Exchange in Orthorhombic RCu$_2$ Compounds (R=Rare Earth)``,
Europ. Phys. J.  B 14 (2000) 29

3

S. Kirkpatrick, C. D. Gelatt and M. P. Vecchi,
Science 220 (1983) 671

4

M. Loewenhaupt, R. Schedler, U. Witte, M. Rotter and W. Schmidt,
``Unconventional magnetic excitation in the Kondo lattice CeCu$_2$``,
Physica B 378-380 (2006) 775

5

R. Schedler, M. Rotter, U. Witte, M. Loewenhaupt and W. Schmidt,
``Field dependence of spin waves in the Kondo lattice CeCu$_2$``,
Acta Physica Polonica B 34 (2003) 1313

6

M. Rotter and A. T. Boothroyd,
``Going beyond the dipole approximation to improve the refinement of magnetic structures by neutron diffraction``,
Phys. Rev. B 79 (2009) 140405(R)

7

Y. Yoshida, K. Sugiyama, T. Takeuchi, Y. Kimura, D. Aoki, M. Kouzaki, R. Settai, K. Kindo and Y. Onuki,
``Metamagnetic Transition Based on the Quadrupole Moment in DyCu$_2$``,
J. Phys. Soc. Jpn.  67 (1998) 1421

8

M. Doerr, M. Rotter, E. El Massalami, S. Sinning, H. Takeya and M. Loewenhaupt,
``Magnetoelastic effects in ErNi$_2$B$_2$C single crystal: probing the H-T phase diagram``,
J. Phys.: Cond Mat.  14 (2002) 5609

9

S. T. Bramwell and M. J. P. Gingras,
Science 294 (2001) 1495

10

A. Podlesnyak, G. Ehlers, M. Frontzek, A. S. Sefat, A. Furrer, Th. Strässle, E. Pomjakushina, K. Conder, F. Demmel and D. I. Khomskii,
``Effect of carrier doping on the formation and collapse of magnetic polarons in lightly hole-doped La${}_{1-x}$Sr${}_{x}$CoO${}_{3}$``,
Phys. Rev. B 83 (2011) 134430

11

A. Podlesnyak, M. Russina, A. Furrer, A. Alfonsov, E. Vavilova, V. Kataev, B. Büchner, Th. Strässle, E. Pomjakushina, K. Conder and D. I. Khomskii,
``Spin-State Polarons in Lightly-Hole-Doped ${\mathrm{LaCoO}}_{3}$``,
Phys. Rev. Lett. 101 (2008) 247603

12

H. J. Lewtas, A. T. Boothroyd, M. Rotter, D. Prabhakaran, H. Müller, M. D. Le, B. Roessli, J. Gavilano and P. Bourges,
``Magnetic excitations in multiferroic LuMnO$_3$ studied by inelastic neutron scattering``,
Phys. Rev. B 82 18(2010) 184420

13

M. Loewenhaupt, T. Reif, R. Arons, E. Gratz, M. Rotter and B. Lebech,
``The magnetic structures of NdCu$_2$ determined by single crystal neutron diffraction``,
Z. Phys.  B 96 (1995) 491

14

M. Loewenhaupt, T. Reif, P. Svoboda, S. Wagner, M. Waffenschmidt, H. v. Löhneysen, E. Gratz, M. Rotter, B. Lebech and T. Hauss,
``The magnetic phases of NdCu$_2$``,
Z. Phys.  B 101 (1996) 499

15

M. Rotter, S. Kramp, M. Loewenhaupt, E. Gratz, W. Schmidt, N. M. Pyka, B. Hennion and R. v. d. Kamp,
``Magnetic Excitations in the antiferromagnetic phase of NdCu$_2$``,
Applied Phys.  A 74 (2002) 751

16

M. Rotter, M. Doerr and M. Loewenhaupt,
``Modeling Magentostriction in RCu$_2$ Compounds using McPhase``,
J. Appl. Phys. 91 10(2002) 8885

17

Chandan Mazumdar, Martin Rotter, Matthias Frontzek, Herwig Michor, Mathias Doerr, Andreas Kreyssig, Marek Koza, Arno Hiess, J. Voigt, G. Behr, L. C. Gupta, M. Prager and M. Loewenhaupt,
``Crystalline Electric Field Effects in PrNi$_2$B$_2$C``,
Phys. Rev. B (IF=3.107) 78 (2008) 144422

18

J. A. Blanco, B. Fåk, J. Jensen, M. Rotter, A. Hiess, D. Schmitt and P. Lejay,
``Phasons, amplitude modes, and spin waves in the amplitude-modulated magnetic phase of PrNi${}_{2}$Si${}_{2}$``,
Phys. Rev. B 87 (2013) 104411

19

M. D. Le, K. A. McEwen, E. Colineau, J.-C. Griveau and R. Eloirdi,
``Magnetic and electrical properties of $(Pu,Lu){Pd}_{3}$``,
Phys. Rev. B 82 (2010) 155136

20

M D Le, K A McEwen, M Rotter, J Jensen, R I Bewley, T Guidi and D Fort,
``Dispersive crystal field excitations and quadrupolar interactions in UPd 3``,
Journal of Physics: Condensed Matter 24 3(2012) 036002

21

Martin Rotter, Manh Duc Le, Andrew T Boothroyd and Jesus Angel Blanco,
``Dynamical matrix diagonalization for the calculation of dispersive excitations``,
Journal of Physics: Condensed Matter 24 21(2012) 213201

22

M. Rotter, M. Loewenhaupt, M. Doerr, A. Lindbaum, H. Sassik, K. Ziebeck and B. Beuneu,
``Dipole Interaction and Magnetic Anisotropy in Gadolinium Compounds``,
Phys. Rev.  B 68 (2003) 144418

23

M. Rotter, M. el. Massalami, M. Doerr, M. Loewenhaupt, H. Takeya, H. Michor and G. Hilscher,
``Anisotropic exchange interactions and magnetoelasticity in GdNi$_2$B$_2$C: Model calculation versus experiment``,
Phys. Rev.  B (2003),
to be published

24

M. Rotter, M. Doerr, M. Loewenhaupt, A. Lindbaum, K. Ziebeck and B. Beuneu,
``Diffraction experiments on GdCu$_2$In using hot neutrons``,
Physica B (2003)

25

M. Rotter, A. Schneidewind, M. Doerr, M. Loewenhaupt, A. M. el Massalami and C. Detlefs,
``Interpreting magnetic X-ray scattering of Gd-compounds using the McPhase simulation program``,
Physica B 345 (2004) 231

26

M. Rotter,
``Using McPhase to calculate Magnetic Phase Diagrams of Rare Earth Compounds``,
J. Magn. Magn. Mat.  (2003)

27

E. Gratz, M. Loewenhaupt, M. Divis, W. Steiner, E. Bauer, N. Pillmayr, H. Müller, H. Novotny and B. Frick,
J. Phys. Cond. Mat.  3 (1991) 9297

28

M. T. Hutchings,
``Point Charge Calculations of Energy Levels of Magnetic Ions in Crystalline Electric Fields``,
in: Solid State Physics Vol. 16, ed. F. Seitz and D. Thurnbull,
Academic Press, New York and London (1964) 227

29

V U S Rao and W E Wallace,
Phys. Rev. B 2 (1970) 4613

30

A J Dekker,
J. Appl. Phys. 36 (1965) 906

31

M. J. Longfield, J. A. Paixao, N. Bernhoeft and G. H. Lander,
``Resonant x-ray scattering from multi-k magnetic structures``,
Physical Review B (Condensed Matter and Materials Physics) 66 (2002) 54417

32

S. W. Lovesey,
Theory of Neutron Scattering from Condensed Matter,
Clarendon Press Oxford (1984)

33

Elbio Dagotto,
``Nanoscale Phase Separation and Colossal Magnetoresistance``,
in: Springer Series in Solid-State Sciences Vol. 136,
Springer (2003) 1

34

S. V. Tjablikov,
Methods in the quantum theory of magnetism,
Plenum Press, New York (1967)

35

Martin Rotter,
``High Speed Algorithm for the Calculation of Magnetic and Orbital Excitations in Rare Earth based Systems``,
Comp. Mat. Sci. 38 (2006) 400

36

E. Balcar and S. W. Lovesey,
Theory of Magnetic Neutron and Photon Scattering,
Clarendon Press Oxford (1989)

37

M Havekort,
Phys. Rev. Lett. (2010) 167404

38

R Shiina, H. Shiba and P. Thalmeier,
J. Phys. Soc. Jpn. 6(1997) 1741

39

Giulio Racah,
``Theory of Complex Spectra. IV``,
Phys. Rev. 76 9(1949) 1352

40

B. G. Wybourne,
``Structure of $f^n$ configurations. I. Calculation of the Energy Levels``,
J. Chem. Phys. 36 (1962) 2295

41

D.C.S Allison and J.E. McNulty,
``Fractional Parentage Coefficients for equivalent $f$ shell electrons``,
Comp. Phys. Comm. 8 (1974) 246

42

C. W. Nielson and G. F. Koster,
Spectroscopic Coefficients for the $p^N$, $d^N$, and $f^N$ Configurations,
MIT Press (1963)

43

Giulio Racah,
``Theory of Complex Spectra. I``,
Phys. Rev. 61 3-4(1942) 186

44

Giulio Racah,
``Theory of Complex Spectra. II``,
Phys. Rev. 62 9-10(1942) 438

45

Giulio Racah,
``Theory of Complex Spectra. III``,
Phys. Rev. 63 9-10(1943) 367

46

Brian R. Judd,
Operator Techniques in Atomic Spectroscopy,
Princeton University Press (1988)

47

J. P. Elliot, B. R. Judd and W. A. Runciman,
Proc. R. Soc. Lon. A 240 (1957) 509

48

Manh Duc Le,
``Magnetism and Quadrupolar order in f electron systems``,
PhD thesis University of London (2009)

49

S. K. Chan and D. J. Lam,
``Crystal Field Effect and the Magnetic Properties``,
Nucl. Metall. 17 (1970) 219

50

B. G. Wybourne,
Spectroscopic Properties of Rare Earths 236,
Wiley Interscience New York (1965)

51

G. Racah,
Group Theory and Spectroscopy 60,
mimeographed notes, Princeton. Reprinted CERN Report 61-68 (1961), and in Springer Tracts in Modern Physics, Volume 37, 28-87 (1965) (1951)

52

A. Abragam and B. Bleaney,
Electron Paramagnetic Resonance of Transition Ions,
Clarendon Press, Oxford (1970)

53

J. s. Griffith,
The Theory of Transition Metal Ions,
Cambridge University Press (1970)

54

A. S. Chakravarty,
Introduction to the Magnetic Properties of Solids,
J. Wiley and Sons (1980)

55

W. T. Carnall, G. L. Goodman, K. Rajnak and R. S. Rana,
``A systematic analysis of the spectra of the lanthanides doped into single crystal LaF$_3$``,
J. Chem. Phys. 90 (1989) 3443

56

W. T. Carnall,
``A systematic analysis of the spectra of trivalent lanthanides chlorides in $D_{3h}$ site symmetry``,
J. Chem. Phys. 96 (1992) 8713

57

E. Balcar,
``Magnetic Moment Densities and Neutron Scattering``,
J.Phys. C: Solid State Phys. 8 (1975) 1581

58

M Rotter, M D Le, H Lewtas, A T Boothroyd, J A Blanco and R Hammerling,
``Calculation of Atomic Charge- Moment- and Current densities using McPhase, a versatile modelling suite for Magnetic Neutron Scattering``,
Journal of Physics: Conference Series 325 1(2011) 012005

59

K. W. H. Stevens,
``Matrix Elements and Operator Equivalents Connected with Magnetic Properties of Rare Earth Ions``,
Proc. Phys. Soc.  A 65 (1952) 209

60

Allen J. Kassman,
``Relationship between the Coefficients of the Tensor Operator and Operator Equivalent Methods``,
The Journal of Chemical Physics 53 10(1970) 4118

61

J. Mulak and Z. Gajek,
The effective crystal field potential,
Elsivier Science Ltd, Kidlington, Oxford, UK (2000)

62

R. J. Elliott and K. W. H. Stevens,
Proc. Poy. Soc. A219 (1953) 387

63

D. J. Newman and B. Ng,
Crystal Field Handbook,
Cambridge University Press (2000)

64

C. Görrler-Walrand and K. Binnemans,
``Rationalization of Crystal-Field Parametrization``,
in: Handbook on the Physics and Chemistry of Rare Earths Vol. 23, ed. K. A. Gschneidner and L. Eyring,
North Holland Publishing Company (1996)

65

E. Bauer and M. Rotter,
``Magnetism of Complex Metallic Alloys: Crystalline Electric Field effects``,
in: Book Series on Complex Metallic Alloys Vol. 2, ed. E. Belin-Ferr,
World Scientific (2009) 1

66

U. Walter,
``Crystal Field splitting in icosahedral symmetry``,
Phys. Rev.  B 36 5(1987) 2504

67

J. P. Elliott and P. G. Dawber,
Symmetry in physics,
McMillan Press LTD (1979)

68

P. Morin and D. Schmitt,
``Quadrupolar interaction and magnetoelastic effects in rare earth intermetallic compounds``,
in: Ferromagnetic Materials Vol. 5, ed. K. H. J. Buschow and E. P. Wohlfarth,
Elsevier Sci. Pub.  Amsterdam,The Netherlands (1990) 1