Lectures 11&12 (SPM, Stoner-Wohlfarth Particles & Microscopic Anisotropy Origins) Flashcards

1
Q

What does uniaxial anisotropy mean?

A

Particle has a single easy axis

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2
Q

Energy of a particle with uniaxial anisotropy?

A

E = kVsin^2ø = µ0µHcosø

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3
Q

What is the super-paramagnetic limit/effect?

A

Need particles large enough to be stable (~100 years)

But this limits density at which they

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4
Q

As well as increasing temperature, how can SPM be induced?

A

Decreasing particle volume

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5
Q

Does SPM happen at large or small temperatures?

A

Large

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6
Q

Will an experiment faster than 1/f0 see a FM or SPM?

A

FM

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7
Q

How can the SPM limit be resolved?

A

Heat assisted magnetic recording

Bit patterned media

(Thought to increase K but then it’s hard to write the information to begin

Instead localised heating e.g., plasmons)

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8
Q

What is blocking temperature?

A

Temperature at which the time of the experiment ~ tau

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9
Q

What happens below blocking temperature?

A

Particles are ‘blocked’ and cannot switch between minima

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10
Q

How to find T_B?

A
  1. Measure M(T) in a fixed direction
  2. Field cool or Zero field cool
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11
Q

What is field cool (FC)?

A

Cool in magnetic field, so that M is frozen in the direction of H.

Measure nothing at blocking temp. since M switches a lot at this temp (reached SPM)

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12
Q

What does field cool graph look like?

A

M vs T

M diverges to 0 when it reaches blocking temperature

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13
Q

What is zero field cool?

A

Cool sample in H=0 field, then warm it in a small field

At the blocking temperature FM -> SPM - the random directions unfreeze at blocking temperature so there is a brief increase in M before thermal fluctuations take over again

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14
Q

What does zero field cool graph look like? Why?

A

M vs T

Spike in M at TB

Since the random magnetisation directions unfreeze at T_B, increasing M before thermal fluctuations take over again

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15
Q

Does SPM occur well below Tc?

A

It can do, yes

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16
Q

Microscopic origins of aniostropy?

A
  1. Magnetocrystalline
  2. Magnetorestriction
  3. Induced anisotropy
17
Q

How do we see that magnetisation in a single Fe crystal is easiest along [100] and hardest along [111]?

A

The remanence which is large in the easy direction, and the saturation field which is small in the easy direction