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Magnetic Phase
Transitions in Intercalated
Dichalcogenide
Nanostructures
CORBYN MELLINGER
UNIVERSITY OF NORTHERN IOWA
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)
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
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
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
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
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
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
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
Vogel-Fulcher Plot
 AC susceptibility
measurements
performed at
frequency 𝑓

1
f
= τ = τ0e
E0
kB T−Tg
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
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
Acknowledgements
 National Science Foundation Award No. DMR-1206530
 Department of Physics, University of Northern Iowa
 Dr. Paul Shand

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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
  • 13. Acknowledgements  National Science Foundation Award No. DMR-1206530  Department of Physics, University of Northern Iowa  Dr. Paul Shand

Notas del editor

  1. 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)
  2. 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)
  3. Using stated definitions, we can characterize states of magnetism based on these quantities Want to fill phase diagram for transitions of MnxTaS2
  4. 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
  5. 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)
  6. 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
  7. 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
  8. 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!
  9. Fit indicative of CG behavior Maximum of χ’ vs T plots for several f plotted; gives curve (fit done in Origin)