Full-multiple-scattering calculations on HgTe under high pressure
at the mercury L
2,3
x-ray-absorption edges
V. Briois
LURE, Universite´ Paris-Sud, Baˆt 209D, 91405 Orsay Cedex, France
Ch. Brouder and Ph. Sainctavit
LURE, Universite´ Paris-Sud, Baˆt 209D, 91405 Orsay Cedex, France
and LMCP, Universite´s Paris VI et VII, 4 place Jussieu, 75252 Paris Cedex 05, France
A. San Miguel
ESRF, BP 220, 38043 Grenoble, France
J.-P. Itie
´
and A. Polian
Physique des Milieux Condense´s, Universite´ Paris VI, 4 place Jussieu, 75252 Paris Cedex 05, France
~Received 17 March 1997!
Full-multiple-scattering ~FMS! calculations have been performed to reproduce the modifications observed
on the mercury L
3
edge in the x-ray-absorption near-edge structure ~XANES! spectra of the II-VI HgTe
compound under increasing pressure. HgTe undergoes several structural phase transitions with pressure, i.e.,
zinc blende ~phase I!→cinnabar ~phase II!→rocksalt ~phase III!→unknown structure ~phase IV!. The best FMS
simulations are obtained for the relaxed and screened final-state potential with a complex Dirac-Hara exchange
potential with muffin-tin symmetry and nonoverlapping spheres. They reproduce satisfactorily the main edge
changes occurring during the first two phase transitions. At P 512 GPa, HgTe undergoes a third transition
~phase IV! to an orthorhombic structure. The resolution of this high-pressure structure is controversial. Con-
fident in the ability of FMS calculations to well reproduce the XANES modifications, we used this formalism
to choose between structures in competition for phase IV. Calculations have been performed considering
successively the three different structural models proposed for phase IV: a b-Sn-like structure and two ortho-
rhombic structures with space group Cmcm, labeled Cmcm(1) and Cmcm(2), respectively. The trends
observed on the XANES spectra during the rocksalt→phase IV transition are satisfactorily reproduced by two
of the three models, Cmcm(2) being totally refuted. Although the differences between the calculations based
on the two acceptable models are not great, the orthorhombic structure Cmcm(1) gives a slightly better
agreement than the b-tin structure. @S0163-1829~97!02834-8#
I. INTRODUCTION
The effects of pressure on the phase transitions of the
II-VI compounds have been well documented since the
1960s.
1–4
It has long been known that zinc and cadmium
chalcogenides transform from the zinc-blende structure to
the rocksalt structure under high pressure. For a long time, it
has been also evidenced that for the telluride II-VI com-
pounds or the mercury chalcogenides, the zinc-blende struc-
ture transforms into the cinnabar structure first.
5–7
But it is
only recently that the atomic positions of the cinnabar struc-
ture were published for ZnTe,
8
CdTe,
9,10
and HgTe.
11,12
This
systematic observation of the cinnabar structure for the tel-
luride II-VI compounds and the relationships found among
the zinc-blende, cinnabar, and rocksalt structures suggest that
the cinnabar phase acts as a pivot during the zinc-blende to
rocksalt transition. Studies at high pressure have also shown
that for some of these chalcogenides a transition from the
rocksalt structure to an orthorhombic crystal structure
occurs.
13–21
Nevertheless, some controversies seem to exist
about the determination of the structure of this high-pressure
phase.
Concerning mercury telluride, the zinc-blende phase
~phase I! at ambient pressure transforms to a cinnabar-type
structure ~phase II! at 1.560.2 GPa, at 300 K, and then to a
rocksalt-type structure ~phase III! at 8 GPa. Finally, an ortho-
rhombic structure ~phase IV! appears above 12 GPa. Phase
IV was first identified as belonging to the space group
I 4
¯
m 2,
15,16
and recently as belonging to the space group
Cmcm .
20,21
Referring to this last study,
20,21
two orthorhom-
bic structures with the same space group are a priori pos-
sible. Simultaneously to the change of the crystal structure,
important modifications in the resistivity of the material
22,23
occur under increasing pressure. In fact, HgTe is a semimetal
in phase I, a semiconductor in phase II, and metallic in phase
III. We have previously reported an x-ray-absorption spec-
troscopy ~XAS! study of these first three pressure-induced
phase transitions
24,25
at the mercury L
3
edge in the 0–20 GPa
range. We have shown that important changes in the shape of
the x-ray-absorption fine structures ~XAFS! occur under
pressure. The goal of these full-multiple-scattering ~FMS!
calculations is threefold: We first want to reproduce the
XAFS modifications observed at the mercury L
3
edge under
increasing pressure and consequently confirm the atomic po-
sitions of phases I to III determined elsewhere by angular-
dispersive x-ray diffraction ~ADX!~Refs. 11 and 12! and
PHYSICAL REVIEW B 1 SEPTEMBER 1997-II VOLUME 56, NUMBER 10
56 0163-1829/97/56~10!/5866~10!/$10.00 5866 © 1997 The American Physical Society