Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10%...

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Magnetic field generation 590B S14 Sergey L. Bud’ko Novel Materials and Ground States Novel Materials and Ground States Novel Materials and Ground States Novel Materials and Ground States

Transcript of Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10%...

Page 1: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Magnetic field generation

590B S14

Sergey L. Bud’ko

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Page 2: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Choice of magnets

Either you need to answer the following questions:

What field is needed?

How homogeneous the field should be? What is the sample size? What is the sample holder size?

Do you need to change the value of the field?

Do you need to change the direction of the field? How many axes?

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Do you need to change the direction of the field? How many axes?

What temperature is needed?

How fast you can sweep the field (instruments/heating/physics)?

What access do you need to the sample (wires, optics, X-rays, neutrons, …)

Can you sacrifice the sample?

Or you live with whatever you have

Page 3: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Permanent magnets

Alnico

Ferrites

Neodymium-iron-boride

Samarium-cobalt

< 1 Tesla

temperature and history dependent

difficult to change field

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…cheap

compact

can be easily shaped

Rarely used as field-generation device in physics labs.

Possibly can be used in field instruments for geophysicists, agronomists, …

4.5 kOe permanent magnets

Page 4: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Permanent magnets

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quadrupole magnet (focusing electron beam)

Page 5: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Permanent magnets

Halbach cylinder

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http://en.wikipedia.org/wiki/Halbach_array

Page 6: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Electromagnets

Biot-Savart law

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Lab electromagnet

Page 7: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Electromagnets

Simple and straightforward

Field at room temperature

Reasonable fields (<3 Tesla)

No cryogens

Heavy and large

Small field volume

High field gradients

High power consumption

Need (water) cooling

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Need (water) cooling

Stability is determined by power supply

Page 8: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Electromagnets

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Page 9: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Helmholtz coil – uniform

field in large volume

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R

Page 10: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Maxwell coil – uniform field or uniform gradient

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Page 11: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Solenoids

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Page 12: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Superconducting solenoids

Nb-Ti (Tc ~ 10 K, Hc2 ~ 15 T)

Nb3Sn (Tc ~ 18 K, Hc2 ~ 30 T)

Multifilamentary cable

Copper (Cu-Ag, …) sheath

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Serious metallurgical task

Epoxy-impregnation

Page 13: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

First superconducting magnet

Phys. Rev. 98 (1955) 1197

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0.71 T at 4.2 K

George Yntema

Page 14: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Superconducting solenoids

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Up to 9 T Up to 20 T

Current up to ~100 A (current leads are important!)

Quench protection circuit (sometimes proprietary, in old days could use external shunt)

Page 15: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Superconducting solenoids

Up to 22 T

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Nb3Sn + HTS insert

Page 16: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Series Connected Hybrid Magnet (NFMFL - FL)

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NMR first, then other measurements

11.7M$ to start with

cooling!

Page 17: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Split pair magnets

Standard - up to 9T with 2” split access

Angular dependencies, light/x-ray/neutron access

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light/x-ray/neutron access

(less homogeneous field, more complex magnet design)

Page 18: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Vector magnet

1 Tesla

- expensive

- complex

- “small” fields

- no moving parts

- precise value/direction of the field

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1 Tesla

1 Tesla

7 Tesla vertical field

Page 19: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Superconducting magnets – lambda plate

Magnet at 2.2 K, >10% increase in max. field

(think of lambda-plate as of VTI with a valve that is cooling the magnet)

Can also pump on He-bath but this is too He-consuming.

Superconducting magnets

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Superconducting magnets

Affordable and compact high magnetic fields. Workhorse in CMP laboratory.

Need cryogens

Flux jumps

Not so trivial if T > 300 K desired

Page 20: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

cryogen free measurements systems

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Page 21: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

cryogen free measurements systems

3 T

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Up to 9 T

Page 22: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Bitter resistive magnets

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NHMFL – Tallahassee – 35 T

Page 23: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

NHMFL – 45T hybrid magnet

Strength 45 tesla

Type Hybrid

Bore size 32 mm (~1.25 inches)

Online since December 1999

Cost $14.4 million

Weight 31,752 kg (35 tons)

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Height 6.7 meters (22 feet)

Operating temperature -271 °C (-456 °F)

Water used per minute15,142 liters(4,000 gallons)

Power required 33 MW33.5 T resistive + 11.5 T superconducting

Operation cost (full field) ~ 4,000 $/h

Page 24: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Magnetic field measurements

(*) Well defined geometry coil – can calculate.

(**) Faraday’s law: E = - dB/dT.nS.cosθ – several assumptions: constant area S, measurable θ, fast, accurate electronics. Good for pulsed fields.

(***) Hall probes – linear in field. 2DEG – very sensitive but at low temperatures/high fields QHE and/or SdH are observed. Other (e.g. III – V) semiconductors. Semimetals (Bi, …). Either purchase

B θ

E

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semiconductors. Semimetals (Bi, …). Either purchase (LakeShore, GMW, …) or DIY – if you have even primitive thin film technology. NB: Temperature dependence, angle with magnetic field (but – can serve as angle sensor), linearity. Hall arrays, multi-axes sensors.

(****) Standards (susceptibility of pure Pd for MPMS)

Page 25: Sergey L. Bud’ko · 2020. 5. 6. · Superconducting magnets –lambda plate Magnet at 2.2 K, >10% increase in max. field (think of lambda-plate as of VTI with a valve that is cooling

Reading:

Fred M. Asner High Field Superconducting Magnets

NHMFL – web site

High Magnetic Fields Conferences and Workshops

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