This research, presented at the 2014 APS March Meeting in Denver, Colorado, characterizes magnetic phase transitions in the manganese-doped dichalcogenide TaS2.
Analytical Profile of Coleus Forskohlii | Forskolin .pdf
2014 APS March Meeting Presentation
1. Magnetic Phase
Transitions in Intercalated
Dichalcogenide
Nanostructures
CORBYN MELLINGER
UNIVERSITY OF NORTHERN IOWA
2. Intercalated Dichalcogenide
Nanostructures
Layered material made up of TaS2 with
magnetic Mn ions between layers
Concentration of Mn determines
magnetic properties
Our sample: Mn0.235TaS2
(Layered structure of MnxTaS2))
(SEM image of MnxTaS2 nanotubes)
3. Magnetism Background
Atoms possess orbital
and spin angular
momentum
These spins contribute
to “magnetic
moments”
Magnetic phase of
material depends on
short-range and long-
range order of
individual moments
A: Paramagnetic
B: Ferromagnetic
4. Objectives
Characterize magnetic phase transitions in Mn0.235TaS2
nanostructures
Previous research characterize transitions for 15%, 20%, and 23%
intercalation
Build phase diagram for general MnxTaS2 as a function of
x
5. AC Susceptibility vs. Temperature
Data down to T ~ 75 K behaves
in accordance with Curie-Weiss
Law
χ =
C
T−θ
Indicative of paramagnetic
to ferromagnetic transition
Peak at T ~ 40 K indicates
second magnetic phase
transition
Ferromagnetic to cluster-
glass
6. Upper Transition
Behavior of transition governed by critical exponents β
and γ
χ0 T ∝
T−Tc
Tc
−γ
(T > Tc)
Ms(T) ∝
T−Tc
Tc
β
(T < Tc)
Given appropriate β and γ, plot of M
1
β vs. χ0
−1 1
γ will
produce straight lines of given isotherms
Arrott-Noakes Analysis
7. Arrott-Noakes Analysis
Exponents selected using iterative
code in MATLAB
Many sets of values tried; set
returning straightest lines reported
back by program
Tc given as isotherm which
intersects origin
8. Kouvel-Fisher Analysis
Related to equations of
state
χ0
−1 ∙
dχ0
−1
dT
−1
=
T−Tc
γ
Ms ∙
dMs
dT
−1
=
T−Tc
β
Does not require
exponents to be known
before analysis
9. Lower Transition
Spin Glass
Individual spins “locked” in
place
Small time dependence for
alignment of moments with
external field
Cluster Glass
Groups of spins “locked”
Similarly small time
dependence on external field
10. Vogel-Fulcher Plot
AC susceptibility
measurements
performed at
frequency 𝑓
1
f
= τ = τ0e
E0
kB T−Tg
11. Phase Diagram
Adjusted phase
diagram based on
new x = 0.235 data
More points desired
near multicritical
point (x~0.225) and
for higher x
12. Conclusions & Analysis
Upper Transition
PM→FM transition has critical
exponent values β =0.86 and
γ =1.22 and takes place at
Tc = 74.4 K
γ is in line with 3D Heisenberg
models, but β is larger than
model predicts
Reentrant magnetic state
likely contains mixture of FM
and CG states, leading to
suppressed FM behavior
Lower Transition
FM→CG transition occurs at
T = 39.6 K
τ0 and
E0
kB
values are within
reasonable bounds to
accept the conclusion that
the lowest magnetic state is
that of cluster glass
Crystals grown in Dept. of Chemistry & Biochem by Dr. Laura Strauss; one-step process of sealing materials and intercalant and “cooking” them over several days; structure confirmed by x-ray spectroscopy; concentration determined by EDS by Dr. Tim Kidd; nanotube growth done without intermediate carrier (for bulk crystal, iodine used as carriers of intercalant)
Paramagnetism: thermal energy sufficient to move moments randomly, giving no net magnetism
Ferromagnetism: thermal energy sufficiently low to allow moments to align. They do so spontaneously. Concentration must be high enough to ensure strong interaction between magnetic intercalant atoms
(Ignore bottom 3 states of magnetism)
Using stated definitions, we can characterize states of magnetism based on these quantities
Want to fill phase diagram for transitions of MnxTaS2
Curie-Weiss Law: lower thermal energy means less resistance to aligning with external field = greater susceptibility
Θ = 0 for permanent paramagnet (nonzero θ implies a TRANSITION)
Lower peak indicates change in behavior, ie. ANOTHER TRANSITION
Two equations called “equations of state”
Critical exponents are typical in any phase transition; indicate the “rapidity” of behavior change
Fit reality only in Asymtopic scaling regime (T-T_c ~ 0)
User selects range of β and γ values for testing; code tests many sets and records linearity of resulting set (residual from linear fit is minimized)
Minimized residual set of values reported back
Consequence of manipulating equations of state
Distinct verification of exponents; does not require exponents to be known!
Same code independently runs KF analysis to confirm/check Arrott Linearity results
These values are essentially within agreement
Term “glassy” relevant: spins seem locked in place, over long times, spins align with external field
Time to fully orient can be ~ age of universe!
Fit indicative of CG behavior
Maximum of χ’ vs T plots for several f plotted; gives curve (fit done in Origin)