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1.
T. Temesvári C. De Dominicis I.R. Pimentel 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,25(3):361-372
Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant
to the study of the spin glass transition of short range models in a magnetic field. A mean-field treatment reveals that two
different types of transitions exist, whenever the replica number n is kept larger than zero. The Sherrington-Kirkpatrick critical point in zero magnetic field between the paramagnet and replica
magnet (a replica symmetric phase with a nonzero spin glass order parameter) separates from the de Almeida-Thouless line,
along which replica symmetry breaking occurs. We argue that for studying the de Almeida-Thouless transition around the upper
critical dimension d = 6, it is necessary to use the generic cubic model with all the three bare masses and eight cubic couplings. The critical
role n may play is also emphasized. To make perturbative calculations feasible, a new representation of the cubic interaction is
introduced. To illustrate the method, we compute the masses in one-loop order. Some technical details and a list of vertex
rules are presented to help future renormalisation-group calculations.
Received 9 October 2001 相似文献
2.
We present a study of the magnetic properties of Co nanoparticles having a combination of both spherical and disk shapes. The hcp Co nanospheres with an average diameter of 11 nm and nanodiscs of dimensions ∼2.5×15 nm2 were prepared by thermal decomposition of di-cobalt octacarbonyl in the presence of an amine surfactant. The as-synthesized nanoparticles were oxidized to grow an antiferromagnetic layer. High resolution transmission electron microscopy showed the presence of a ferromagnet/antiferromagnet (Co/CoO) interface with a 2.2-nm thick CoO shell on the spherical nanoparticles and 0.5 nm thick on nanodiscs. We report the temperature and field dependent DC magnetization, frequency, field, and temperature dependent AC susceptibility, and the radio frequency transverse susceptibility. A low temperature paramagnetic behavior was observed in the DC magnetization at high fields and is assigned to defects in the CoO shell that are not coupled to the antiferromagnetic lattice. Our results support the existence of a low temperature frozen, disordered magnetic state, characterized by a strong exchange coupling between the structurally disordered, spin-glass CoO shell and Co core. 相似文献
3.
N. G. Fytas A. Malakis 《The European Physical Journal B - Condensed Matter and Complex Systems》2008,61(1):111-120
The one-parametric Wang-Landau (WL) method is
implemented together with an extrapolation scheme to yield
approximations of the two-dimensional (exchange-energy,
field-energy) density of states (DOS) of the 3D bimodal
random-field Ising model (RFIM). The present approach generalizes
our earlier WL implementations, by handling the final stage of the
WL process as an entropic sampling scheme, appropriate for the
recording of the required two-parametric histograms. We test the
accuracy of the proposed extrapolation scheme and then apply it to
study the size-shift behavior of the phase diagram of the 3D
bimodal RFIM. We present a finite-size converging approach and a
well-behaved sequence of estimates for the critical disorder
strength. Their asymptotic shift-behavior yields the critical
disorder strength and the associated correlation length's
exponent, in agreement with previous estimates from ground-state
studies of the model. 相似文献
4.
G. Parisi M. Ratiéville 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,29(3):457-468
We get back to the computation of the leading finite size corrections to some random link matching problems, first adressed
by Mézard and Parisi [J. Phys. France 48, 1451 (1987)]. In the so-called bipartite case, their result is in contradiction with subsequent works. We show that they
made some mistakes, and correcting them, we get the expected result. In the non bipartite case, we agree with their result
but push the analytical treatment further.
Received 28 April 2002 Published online 14 October 2002
RID="a"
ID="a"e-mail: giorgio.parisi@roma1.infn.it
RID="b"
ID="b"e-mail: matthieu.ratieville@roma1.infn.it 相似文献
5.
S.?BoettcherEmail author 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,33(4):439-445
A reduction procedure to obtain ground states of spin
glasses on sparse graphs is developed and tested on the
hierarchical lattice associated with the Migdal-Kadanoff
approximation for low-dimensional lattices. While more generally
applicable, these rules here lead to a complete reduction of the
lattice. The stiffness exponent governing the scaling of the
defect energy E with system
size L, (E) ~L
y, is obtained as
y
3 = 0.25546(3) by reducing the equivalent
of lattices up to L =
2100 in d = 3, and as y
4 = 0.76382(4) for up to
L =
235 in d = 4. The reduction rules allow the
exact determination of the ground state energy, entropy, and
also provide an approximation to the overlap distribution. With
these methods, some well-know and some new features of diluted
hierarchical lattices are calculated. 相似文献
6.
D.A. Stariolo M.A. Montemurro F.A. Tamarit 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,32(3):361-367
We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in
d
= 4 and d
= 6 dimensions with ±
J interactions. In particular, we focus our analysis on the scaling properties of the two-time autocorrelation function in
a wide range of temperatures from T
= 0.07
T
c
to T
= 0.75
T
c
in both systems. In both the 4
d and 6
d models at very low temperatures we study the effects of discretization of energy levels. Strong sub-aging behaviors are found.
We argue that this is because in the times accessible to our simulations the systems are only able to probe activated dynamics
through the lowest discrete energy levels and remain trapped around nearly flat regions of the energy landscape. For temperatures
T
≥ 0.5
T
c
in 4
d and 6
d we find logarithmic scalings that are compatible with simple dynamical ultrametricity. Nevertheless the behaviour of the
systems, even in 6
d is very different from the mean field SK model results.
Received 21 October 2002 / Received in final form 13 January 2003 Published online 11 April 2003
RID="a"
ID="a"Associate researcher of the Abdus Salam International Centre for Theoretical Physics; e-mail: stariolo@if.ufrgs.br;
http://www.if.ufrgs.br/stariolo
RID="b"
ID="b"Present address: The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy e-mail: mmontemu@ictp.trieste.it
RID="c"
ID="c"e-mail: tamarit@famaf.unc.edu.ar 相似文献
7.
M.?Minozzi G.?Caldarelli L.?Pietronero S.?ZapperiEmail author 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,36(2):203-207
We consider the spin-glass phase of the Sherrington-Kirkpatrick model in the presence of a magnetic field. The series expansion
of the Parisi function q(x) is computed at high orders in powers of τ = T
c - T and H. We find that none of the Parisi-Toulouse scaling hypotheses on the q(x) behavior strictly holds, although some of them are violated only at high orders. The series is resummed yielding results
in the whole spin-glass phase which are compared with those from a numerical evaluation of the q(x). At the high order considered, the transition turns out to be third order on the Almeida-Thouless line, a result which is
confirmed rigorously computing the expansion of the solution near the line at finite τ. The transition becomes smoother for
infinitesimally small field while it is third order at strictly zero field.
Received 3 March 2003 Published online 4 June 2003
RID="a"
ID="a"e-mail: andrea.crisanti@phys.uniroma1.it
RID="b"
ID="b"e-mail: tommaso.rizzo@phys.uniroma1.it
RID="c"
ID="c"e-mail: temtam@helios.elte.hu 相似文献
8.
W. Zippold R. Kühn H. Horner 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,13(3):531-537
We investigate the non-equilibrium dynamics of spherical spin models with two-spin interactions. For the exactly solvable
models of the d-dimensional spherical ferromagnet and the spherical Sherrington-Kirkpatrick (SK) model the asymptotic dynamics
has for large times and large waiting times the same formal structure. In the limit of large waiting times we find in both
models an intermediate time scale, scaling as a power of the waiting time with an exponent smaller than one, and thus separating
the time-translation-invariant short-time dynamics from the aging regime. It is this time scale on which the fluctuation-dissipation
theorem is violated. Aging in these models is similar to that observed in spin glasses at the level of correlation functions,
but different at the level of response functions, and thus different at the level of experimentally accessible quantities
like thermoremanent magnetization.
Received 22 April 1999 相似文献
9.
J.R.L. de Almeida 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,8(2):269-273
The linear and non-linear susceptibilities of the two sub-lattices Random Energy Model (REM) allowing antiferromagnetic order
is studied as a function of the external field (h) and temperature (T). Due to the competition between external field and the internal exchange field acting on the spins there is a drastic change
of the system's behavior as the parameters (h,T) are varied. The behavior of the susceptibilities in low and high fields is very different in that the latter may grow as
the temperature decreases. Moreover, the critical region undergoes a substantial enlargement as the external field increases.
Received: 29 May 1998 相似文献
10.
A new noncentrosymmetric ferroborate crystal, K2Fe2B2O7, has been grown from high temperature melt. Structure solution from single crystal X-ray diffraction shows that the title compound crystallizes in a trigonal space group P321 with cell dimensions of a=8.7475(12) Å and c=8.5124(17) Å. In the structure, FeO4 tetrahedron shares its three basal oxygen atoms with BO3 triangles forming a two-dimensional layer in the ab plane and the layers are connected by the apical Fe-O bonds along the c direction. The crystal is transparent in the visible and near infrared region from 500 to 2000 nm with three pronounced absorption bands ascribed to d-d transitions of tetrahedrally coordinated Fe3+ ions. Though, structurally analog to K2Al2B2O7, the further twisting of the BO3 groups between adjacent layers reduces its optical nonlinearity to a second-harmonic generation intensity of about 0.4 times that of KDP. Spin-glass behavior is observed at 20 K which is probably due to geometrically magnetic frustration of the triangular Fe net in the ab plane. 相似文献