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 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: K. W. Becker, P. Fulde and J. Keller,
“Line Width of crystal-field excitations in metallic rare-earth systems“,
Z. Phys. B 28 (1977) 9
5: M. Loewenhaupt, R. Schedler, U. Witte, M. Rotter and W. Schmidt,
“Unconventional magnetic excitation in the Kondo lattice CeCu“,
Physica B 378-380 (2006) 775
6: R. Schedler, M. Rotter, U. Witte, M. Loewenhaupt and W. Schmidt,
“Field dependence of spin waves in the Kondo lattice CeCu“,
Acta Physica Polonica B 34 (2003) 1313
7: 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)
8: 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“,
J. Phys. Soc. Jpn. 67 (1998) 1421
9: M. Doerr, M. Rotter, E. El Massalami, S. Sinning, H. Takeya and M. Loewenhaupt,
“Magnetoelastic effects in ErNiBC single crystal: probing the H-T phase diagram“,
J. Phys.: Cond Mat. 14 (2002) 5609
10: Jens Jensen and Martin Rotter,
“Magnetic double-q ordering of tetragonal GdNi[sub 2]B[sub 2]C: A way to explain the magnetoelastic paradox“,
Phys. Rev. B (Cond. Mat. and Mat. Phys.) 77 13(2008) 134408
11: S. T. Bramwell and M. J. P. Gingras,
Science 294 (2001) 1495
12: 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 $E_{el}$ Sr ${}_{x}$ CoO $H_{E}+H_{int}$ “,
Phys. Rev. B 83 (2011) 134430
13: 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 $\hat I_a,\hat I_b,\hat I_c ...$ “,
Phys. Rev. Lett. 101 (2008) 247603
14: 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 studied by inelastic neutron scattering“,
Phys. Rev. B 82 18(2010) 184420
15: M. Loewenhaupt, T. Reif, R. Arons, E. Gratz, M. Rotter and B. Lebech,
“The magnetic structures of NdCu determined by single crystal neutron diffraction“,
Z. Phys. B 96 (1995) 491
16: 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“,
Z. Phys. B 101 (1996) 499
17: 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“,
Applied Phys. A 74 (2002) 751
18: M. Rotter, M. Doerr and M. Loewenhaupt,
“Modeling Magentostriction in RCu Compounds using McPhase“,
J. Appl. Phys. 91 10(2002) 8885
19: 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 PrNiBC“,
Phys. Rev. B (IF=3.107) 78 (2008) 144422
20: 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
21: M. D. Le, K. A. McEwen, E. Colineau, J.-C. Griveau and R. Eloirdi,
“Magnetic and electrical properties of “,
Phys. Rev. B 82 (2010) 155136
22: R. D. Cowan,
The theory of atomic structure and spectra,
University of California Press, Berkeley (1981)
23: 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
24: 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
25: 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
26: V U S Rao and W E Wallace,
Phys. Rev. B 2 (1970) 4613
27: A J Dekker,
J. Appl. Phys. 36 (1965) 906
28: 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
29: S. W. Lovesey,
Theory of Neutron Scattering from Condensed Matter,
Clarendon Press Oxford (1984)
30: M Havekort,
Phys. Rev. Lett. (2010) 167404
31: R Shiina, H. Shiba and P. Thalmeier,
J. Phys. Soc. Jpn. 6(1997) 1741
32: Stuart B. Palmer and Jens H. Jensen,
“Magnetic effects on the elastic constants of praseodymium“,
Journal of Physics C: Solid State Physics 11 (1978) 2465
33: J. Jensen and J. G. Houmann,
“Spin waves in terbium. II. Magnon-phonon interaction“,
Phys. Rev. B 12 (1975) 320
34: K. McEwen, U. Steigenberger and J. Jensen,
“Spin waves, phonons, and crystal field excitations in thulium“,
Phys. Rev. B 43 4(1991) 3298
35: 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
36: Giulio Racah,
“Theory of Complex Spectra. IV“,
Phys. Rev. 76 9(1949) 1352
37: B. G. Wybourne,
“Structure of configurations. I. Calculation of the Energy Levels“,
J. Chem. Phys. 36 (1962) 2295
38: D.C.S Allison and J.E. McNulty,
“Fractional Parentage Coefficients for equivalent shell electrons“,
Comp. Phys. Comm. 8 (1974) 246
39: C. W. Nielson and G. F. Koster,
Spectroscopic Coefficients for the , , and Configurations,
MIT Press (1963)
40: Giulio Racah,
“Theory of Complex Spectra. I“,
Phys. Rev. 61 3-4(1942) 186
41: Giulio Racah,
“Theory of Complex Spectra. II“,
Phys. Rev. 62 9-10(1942) 438
42: Giulio Racah,
“Theory of Complex Spectra. III“,
Phys. Rev. 63 9-10(1943) 367
43: Brian R. Judd,
Operator Techniques in Atomic Spectroscopy,
Princeton University Press (1988)
44: J. P. Elliot, B. R. Judd and W. A. Runciman,
Proc. R. Soc. Lon. A 240 (1957) 509
45: Manh Duc Le,
“Magnetism and Quadrupolar order in f electron systems“,
PhD thesis University of London (2009)
46: S. K. Chan and D. J. Lam,
“Crystal Field Effect and the Magnetic Properties“,
Nucl. Metall. 17 (1970) 219
47: B. G. Wybourne,
Spectroscopic Properties of Rare Earths 236,
Wiley Interscience New York (1965)
48: 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)
49: E. Balcar and S. W. Lovesey,
Theory of Magnetic Neutron and Photon Scattering,
Clarendon Press Oxford (1989)
50: A. Abragam and B. Bleaney,
Electron Paramagnetic Resonance of Transition Ions,
Clarendon Press, Oxford (1970)
51: J. s. Griffith,
The Theory of Transition Metal Ions,
Cambridge University Press (1970)
52: A. S. Chakravarty,
Introduction to the Magnetic Properties of Solids,
J. Wiley and Sons (1980)
53: 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“,
J. Chem. Phys. 90 (1989) 3443
54: W. T. Carnall,
“A systematic analysis of the spectra of trivalent lanthanides chlorides in $\frac {1}{2}$ site symmetry“,
J. Chem. Phys. 96 (1992) 8713
55: E. Balcar,
“Magnetic Moment Densities and Neutron Scattering“,
J.Phys. C: Solid State Phys. 8 (1975) 1581
56: 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
57: K. W. H. Stevens,
“Matrix Elements and Operator Equivalents Connected with Magnetic Properties of Rare Earth Ions“,
Proc. Phys. Soc. A 65 (1952) 209
58: Allen J. Kassman,
“Relationship between the Coefficients of the Tensor Operator and Operator Equivalent Methods“,
The Journal of Chemical Physics 53 10(1970) 4118
59: J. Mulak and Z. Gajek,
The effective crystal field potential,
Elsivier Science Ltd, Kidlington, Oxford, UK (2000)
60: R. J. Elliott and K. W. H. Stevens,
Proc. Poy. Soc. A219 (1953) 387
61: D. J. Newman and B. Ng,
Crystal Field Handbook,
Cambridge University Press (2000)
62: 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)
63: 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
64: U. Walter,
“Crystal Field splitting in icosahedral symmetry“,
Phys. Rev. B 36 5(1987) 2504
65: Elbio Dagotto,
“Nanoscale Phase Separation and Colossal Magnetoresistance“,
in: Springer Series in Solid-State Sciences Vol. 136,
Springer (2003) 1
66: S. V. Tjablikov,
Methods in the quantum theory of magnetism,
Plenum Press, New York (1967)
67: Martin Rotter,
“High Speed Algorithm for the Calculation of Magnetic and Orbital Excitations in Rare Earth based Systems“,
Comp. Mat. Sci. 38 (2006) 400
68: J. P. Elliott and P. G. Dawber,
Symmetry in physics,
McMillan Press LTD (1979)
69: 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