University of California at Berkeley – Physics Department March APS Meeting, Portland, OR –...

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University of California at Berkeley – Physics Department ch APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys David W. Cooke, Frances Hellman Physics Department, University of California, Berkeley Stephanie Moyerman, Eric E. Fullerton Physics Department, University of California, San Diego

Transcript of University of California at Berkeley – Physics Department March APS Meeting, Portland, OR –...

Page 1: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Thermodynamic measurements of iron-rhodium alloys

David W. Cooke, Frances HellmanPhysics Department, University of California, Berkeley

Stephanie Moyerman, Eric E. FullertonPhysics Department, University of California, San Diego

Page 2: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Why Fe-Rh?

Superparamagnetic limit – KUV ~ kBT

Large K?

Alternative: FePt / FeRh bi-layerThiele, J.-U., Maat, S., and Fullerton, E.E. APL 82, 2859 (2003)

FeRh undergoes an AFM>FM transition at Tcrit ~ 50ºC

RT < T < Tcrit: AFM FeRh; large K fixes FePt momentTcrit < T < TC: FM FeRh reduces HC to flip FePt via coupling

→ Large H or T ~ TC

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

MgO (100)

FePt (111)

FeRh (100)

m

m

Page 3: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

FeRh Magnetic Phases

AFM IIT < Tcrit

FMTcrit < T

Tcrit

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 4: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Electrons in AF/FM States

Tu, P. et al. J. Appl. Phys. 40, 1368 (1969)

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

AFM

FM

222

3

1BF kDT

T

C Koenig, C. J. Phys. F 12, 1123 (1982)

εF

εF

Page 5: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Electrons in AF/FM States

%6

'

,0,0

'

0

FMAFM

critAFF

T

F

UU

TS

TDdTT

CS

Tu, P. et al. J. Appl. Phys. 40, 1368 (1969)

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

AFM

FM

222

3

1BF kDT

T

C

Alloys allow for tuning of Tcrit , eventually pushing Tcrit = 0 yielding a FM ground state

Page 6: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Electron-driven modelPros of electron-driven model:• Difference in N(EF) seen in DFT for AF/FM states because of

splitting of d-bands leaving gap at EF

• Assuming fixed N(EF) of T, matches experimental ΔS at Tcrit for a number of alloys

Cons of electron-driven model:• Fe49.5Rh45.5Ir5 has higher Tcrit but γAFM ~2γFM!

Outstanding questions:• No model of field/alloy dependence of Tcrit

• No DFT work explaining lack of Tcrit in certain alloys

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 7: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Thermal Fluctuation Model

nnn

iknnnnn

iknni nnnnn

kiikikii rVrVSSrJSDU,

2

• Note the shoulder at ~200K• Two-state system (Schottky)

• FM – competition between non/magnetization of Rh• AFM – no such competition because Fe AFM cancels

Gruner, M.E., et al. Phys. Rev. B 67, 064415 (2003)

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Tcrit Tcurie

Page 8: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

“Calorimeter on a Chip”

• Specific heat of thin films– 30nm-200nm– 2K - 500K– 0T - 8T

2006 APS KeithleyInstrumentation Award

t

e

C

T

P

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 9: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

IBAD MgO Calorimeter

45º

MgO Target

Substrate

TargetIon Source

SubstrateIon Source

Figure adapted from L.S. Yu, et. Al., J. Vac. Sci. A 4, 443 (1986)

IBAD MgO(100) On Devices

• Current calorimeters limited to amorphous/polycrystalline films

• Use IBAD MgO on SiNX as template to grow biaxially-oriented films!

• MgO grows (100) out of plane

• 45º to substrate yields (110) in-plane due to channeling

• Provides biaxially oriented substrate

• Well-studied for high-Tc materials

• Can use as template for STO, etc.

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 10: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

FeRh Magnetization Data

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 11: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

FeRh XRD on IBAD MgO

• Similarly high crystal quality with some relaxation on IBAD

• Slightly more mosaicity than MgO sample

• Maintains four-fold symmetry

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

(100) out-of-plane Azimuthal scan

Page 12: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Specific Heat of Fe.49Rh.51

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 13: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Specific Heat of Fe.49Rh.51

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Page 14: University of California at Berkeley – Physics Department March APS Meeting, Portland, OR – March 17, 2010 Thermodynamic measurements of iron-rhodium alloys.

Future Work

University of California at Berkeley – Physics Department

March APS Meeting, Portland, OR – March 17, 2010

Conclusions:

• We have grown IBAD MgO on our unique a-SiNx-based microcalorimeters

• We have confirmed growth of high quality Fe.49Rh.51 films on IBAD MgO

• Specific heat data obtained on Fe.49Rh.51 matches that in the literature

• Growth of an Fe-rich alloy on IBAD MgO was confirmed to be FM down to 2K

Future work:

• Measure CP of this FM FeRh as a function of H, T to examine two-state Rh theory

• Ongoing collaboration to examine domain formation during AF>FM transition in using our devices as an in-situ heater stage in magnetic soft x-ray transmission microscope at the Advanced Light Source (LBNL)

• DFT calculations of non-stoichiometric FeRh alloys