Impact of Plastic Deformation and Shear Band Formation on the
Boson Heat Capacity Peak of a Bulk Metallic Glass
Yu. P. Mitrofanov,
1,2,*
M. Peterlechner,
1
S. V. Divinski,
1
and G. Wilde
1,3
1
Institute of Materials Physics, University of Münster, 10 Wilhelm-Klemm Strasse, Münster 48149, Germany
2
Department of Solid State Physics, State Technical University, 14 Moscow Avenue, Voronezh 394026, Russia
3
Institute of Nanochemistry and Nanobiology, School of Environmental and Chemical Engineering,
Shanghai University, Shanghai 200444, People’s Republic of China
(Received 8 November 2013; published 4 April 2014)
The effect of annealing on the low-temperature heat capacity of a bulk Pd
38.5
Ni
40
P
21.5
metallic glass is
investigated for as-quenched and deformed (rolled) states. Although the boson heat capacity peak increases
with increasing strain, it relaxes faster and to a lower level compared to that of the as-quenched state after
annealing treatments both below and above the glass transition temperature T
g
. The glass is found to retain
a certain “memory” on the room-temperature plastic deformation even after annealing above T
g
.
Indications for two counteracting processes that might be related to different types of shear bands are
observed.
DOI: 10.1103/PhysRevLett.112.135901 PACS numbers: 65.60.+a, 63.50.Lm
Glasses in general show an anomaly in their vibrational
spectrum in the terra Hertz region that is commonly
referred to as the “boson peak” contribution. This enhance-
ment of the local vibrational density of states that lead to
additional scattering of phonons and thus to enhanced
damping and the so-called phonon broadening is a general
feature of glasses, irrespective of the dominant type of the
interatomic or intermolecular binding energy and is thus
also observed for the class of metallic glasses.
Despite controversial discussions, it now seems accepted
that the boson peak originates from quasilocalized transverse
vibrational modes associated with “defective” soft local
structures in a topologically disordered material (glass)
[1,2], and thus occurs also in metallic glasses [3]. In
addition, it also seems accepted that the anomalies in the
vibrational density of states are also reflected in a heat
capacity C
p
contribution in excess of the Debye heat
capacity, which in the temperature dependence of C
p
=T
3
yields an excess peak at temperatures of about 5–40 K for
all glasses [4]. Based on experimental data, atomistic
simulations and semiempirical models, different views
concerning an atomistic description of the origin of the
localized soft modes have been advanced. Yet, the origin of
the low-frequency excited states remains unclear despite
numerous experimental and theoretical investigations. These
excited states are described in terms of soft anharmonic
potentials [5], fluctuating density [6] or/and force constants
[7], strings of atoms [8], or interstitialcy-like “defects” [9].
While it is not the intention or purpose of the present
Letter to distinguish between such models, it is emphasized
that without regard of the specific atomic configuration
invoked, the different model approaches can be viewed as
being in line with a mesoscopically heterogeneous spatial
distribution of regions that contribute an excess vibrational
density of states. While the origin and configurations of
such regions in macroscopically homogeneous glasses after
careful aging in a uniform and homogeneous temperature
field is debatable, one can also start from a different
viewpoint and use the boson-peak behavior, in the present
case represented by the excess heat capacity at temperatures
in the range of 5–40 K, for analyzing mesoscopically
heterogeneous glasses with spatial regions of different
specific volume and fictive temperature [10] to elucidate
the specific property changes of these regions. In the
present work, thus, low-temperature heat capacity mea-
surements have been performed on Pd
40
Ni
40
P
20
glasses that
were subjected to different well-controlled thermomechan-
ical processing histories. In particular, glassy samples that
had been deformed plastically included the deformation-
induced, mesoscopic features that are called “shear bands”
that result from flow localization and shear softening of
glasses and that are several nanometers thickness and
macroscopic in length.
There is no accepted viewpoint on the nature of shear
bands and related phenomena. The structure of shear bands
is known [11–14] to be different from that of the unde-
formed matrix and the shear bands formation influences the
physical properties [14,15]. It should naturally be expected
that the inhomogeneous deformation leads to the formation
of some areas with a different (either more disordered
or more ordered) structure in comparison with the matrix
[11–13]. Such areas must effectively change the dynamics
of the glass on the whole. The shear bands are very thin,
about 10–20 nm [11,12,16]; i.e., the relative volume
occupied by one shear band is very low. Consequently,
an observable contribution to changes of the dynamic
behavior is expected at a high density of the shear bands,
i.e., at high degrees of deformation.
PRL 112, 135901 (2014)
PHYSICAL REVIEW LETTERS
week ending
4 APRIL 2014
0031-9007=14=112(13)=135901(5) 135901-1 © 2014 American Physical Society