Phase diagram of the CeNi
1 Àx
Cu
x
Kondo system with spin-glass-like behavior
favored by hybridization
J. Garcı
´
a Soldevilla and J. C. Go
´
mez Sal
CITIMAC, Facultad de Ciencias, Universidad de Cantabria, Avenida de los Castros, 39005 Santander, Spain
J. A. Blanco
Departamento de Fı ´sica, Facultad de Ciencias, Universidad de Oviedo, Calvo Sotelo, 33007 Oviedo, Spain
J. I. Espeso and J. Rodrı
´
guez Ferna
´
ndez
CITIMAC, Facultad de Ciencias, Universidad de Cantabria, Avenida de los Castros, 39005 Santander, Spain
Received 21 June 1999
We present the magnetic phase diagram of the Kondo ferromagnetic and antiferromagnetic CeNi
1-x
Cu
x
series revealing the existence of a ‘‘spin-glass-like’’ state above the Curie temperature T
C
. The stability
temperature range of this magnetically disordered phase increases when approaching the magnetic localized-
delocalized crossover point ( x 0.1). This phenomenology is first discussed considering a classical model of
spin-glass phase diagram including the effect of Kondo interactions. The similarities to the scenario described
by recent theoretical analysis of strongly correlated electron systems, considering disorder and competing
Ruderman-Kittel-Kasuya-Yosida and Kondo interactions, are also pointed out.
I. INTRODUCTION
The competition of interactions in strongly correlated
f-electron systems is attracting a great deal of interest be-
cause of the physics involved: Kondo lattice, heavy fermi-
ons, and recently non-Fermi liquids NFL’s or quantum
phase transitions at zero temperature.
1,2
An adequate way to
approach the problem is to study a system where the compe-
tition between the different interactions, needed to induce a
priori those behaviors, could be modified by a single param-
eter: this is the case of CeNi
1 -x
Pt
x
Ref. 3 and CeRu
2
Ge
2
Ref. 4 both evolving from ferromagnetism to Fermi-liquid
behavior by changing composition or pressure, respectively,
or the well-known Y
1 -x
U
x
Pd
3
Ref. 5 and CeCu
5.9
Au
0.1
Ref. 6 systems which are some of the paradigmatic NFL’s.
Additionally, an increasing number of authors are referring
to the relevance of disorder effects
7,8
in the low-temperature
thermodynamic and magnetic properties of these substitu-
tional strongly correlated systems and they find ground states
such as spin-glass ones induced by structural disorder or ran-
dom competing interactions. In such a way, recent experi-
mental research on the ground state of the CeNi
0.4
Cu
0.6
compound
9
shows that this Kondo lattice compound, with
low local symmetry, presents a simple collinear ferromag-
netic long-range order below T
C
=1.1 K with the magnetic
moments lying in the b direction. In addition, from all the
measured bulk properties a spin-glass SG state below T
f
=2 K is found, while at higher temperatures the compound
becomes paramagnetic. In this context the general
CeNi
1 -x
Cu
x
series presents many noticeable features, pro-
viding a singular and attractive system to investigate the
competition of the different involved interactions, i.e., indi-
rect Ruderman-Kittel-Kasuya-Yosida RKKY exchange
interactions, large 4 f -conduction-band hybridization
Kondo and strong crystalline electric-field CEF local an-
isotropy combined with the presence of disorder effects.
The previously obtained results for CeNi
1 -x
Cu
x
compounds
10,11
are summarized in Fig. 1. The stability do-
main of the orthorhombic FeB-type structure Pnma extends
for 1 x 0.2. CeNi is CrB type Cmcm. Both structures
differ only in the relative disposition of trigonal prisms. A
change from antiferromagnetism AFM for CeCu and
CeNi
0.1
Cu
0.9
to ferromagnetism FM for x 0.8 is observed,
as in other R Ni
1 -x
Cu
x
series.
12
Simultaneously, the
4 f -conduction-band hybridization increases with the Ni con-
tent, evolving in a similar way to that in the much studied
CeNi
1 -x
Pt
x
series.
3
The stronger hybridization effects appear
on the Ni-rich side, with CeNi being an intermediate valence
compound. Consequently, these CeNi
1 -x
Cu
x
compounds are
FIG. 1. Concentration dependence of the cell volume full
circles and the Kondo temperature estimated from different tech-
niques: magnetic susceptibility ( |
p
| /10, full squares, quasielastic
neutron scattering QENS, open squares for the CeNi
1-x
Cu
x
se-
ries. The broken lines separate the FeB-CrB crystallographic struc-
tures and AFM-FM magnetic states. Full lines are guides for the
eyes.
PHYSICAL REVIEW B 1 MARCH 2000-II VOLUME 61, NUMBER 10
PRB 61 0163-1829/2000/6110/68215/$15.00 6821 ©2000 The American Physical Society