Thermodynamics of free and bound magnons in graphene
Abstract
Symmetry-broken electronic phases support neutral collective excitations. For example, monolayer graphene in the quantum Hall regime hosts a nearly ideal ferromagnetic phase at specific filling factors that spontaneously breaks the spin-rotation symmetry. This ferromagnet has been shown to support spin-wave excitations known as magnons that can be electrically generated and detected. Although long-distance magnon propagation has been demonstrated via transport measurements, important thermodynamic properties of such magnon populations—including the magnon chemical potential and density—have not been measured. Here we present local measurements of electron compressibility under the influence of magnons, which reveal a reduction in the gap associated with the ν = 1 quantum Hall state by up to 20%. Combining these measurements with the estimates of temperature, our analysis reveals that the injected magnons bind to electrons and holes to form skyrmions, and it enables the extraction of free magnon density, magnon chemical potential and average skyrmion spin. Our methods provide a means of probing the thermodynamic properties of charge-neutral excitations that are applicable to other symmetry-broken electronic phases.
- Authors:
-
- Harvard University, Cambridge, MA (United States)
- Harvard University, Cambridge, MA (United States); Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)
- National Institute for Materials Science, Tsukuba (Japan)
- Publication Date:
- Research Org.:
- Harvard Univ., Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); Gordon and Betty Moore Foundation; Army Research Office (ARO); National Science Foundation (NSF); Department of Defense (DoD); Harvard Quantum Initiative in Science and Engineering; Harvard Quantum Initiative Seed Fund; Japan Society for the Promotion of Science (JSPS)
- OSTI Identifier:
- 1978663
- Grant/Contract Number:
- SC0001819; SC0019300; GBMF9468; W911NF-14-1-0247; DMR-1231319; DGE 1745303; JPMXP0112101001; JP20H00354; ECS-0335765
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Physics
- Additional Journal Information:
- Journal Volume: 18; Journal Issue: 1; Journal ID: ISSN 1745-2473
- Publisher:
- Nature Publishing Group (NPG)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; electronics properties; electronic devices; quantum hall; spintronics; thermodynamics
Citation Formats
Pierce, Andrew T., Xie, Yonglong, Lee, Seung Hwan, Forrester, Patrick R., Wei, Di S., Watanabe, Kenji, Taniguchi, Takashi, Halperin, Bertrand I., and Yacoby, Amir. Thermodynamics of free and bound magnons in graphene. United States: N. p., 2021.
Web. doi:10.1038/s41567-021-01421-x.
Pierce, Andrew T., Xie, Yonglong, Lee, Seung Hwan, Forrester, Patrick R., Wei, Di S., Watanabe, Kenji, Taniguchi, Takashi, Halperin, Bertrand I., & Yacoby, Amir. Thermodynamics of free and bound magnons in graphene. United States. https://doi.org/10.1038/s41567-021-01421-x
Pierce, Andrew T., Xie, Yonglong, Lee, Seung Hwan, Forrester, Patrick R., Wei, Di S., Watanabe, Kenji, Taniguchi, Takashi, Halperin, Bertrand I., and Yacoby, Amir. Mon .
"Thermodynamics of free and bound magnons in graphene". United States. https://doi.org/10.1038/s41567-021-01421-x. https://www.osti.gov/servlets/purl/1978663.
@article{osti_1978663,
title = {Thermodynamics of free and bound magnons in graphene},
author = {Pierce, Andrew T. and Xie, Yonglong and Lee, Seung Hwan and Forrester, Patrick R. and Wei, Di S. and Watanabe, Kenji and Taniguchi, Takashi and Halperin, Bertrand I. and Yacoby, Amir},
abstractNote = {Symmetry-broken electronic phases support neutral collective excitations. For example, monolayer graphene in the quantum Hall regime hosts a nearly ideal ferromagnetic phase at specific filling factors that spontaneously breaks the spin-rotation symmetry. This ferromagnet has been shown to support spin-wave excitations known as magnons that can be electrically generated and detected. Although long-distance magnon propagation has been demonstrated via transport measurements, important thermodynamic properties of such magnon populations—including the magnon chemical potential and density—have not been measured. Here we present local measurements of electron compressibility under the influence of magnons, which reveal a reduction in the gap associated with the ν = 1 quantum Hall state by up to 20%. Combining these measurements with the estimates of temperature, our analysis reveals that the injected magnons bind to electrons and holes to form skyrmions, and it enables the extraction of free magnon density, magnon chemical potential and average skyrmion spin. Our methods provide a means of probing the thermodynamic properties of charge-neutral excitations that are applicable to other symmetry-broken electronic phases.},
doi = {10.1038/s41567-021-01421-x},
journal = {Nature Physics},
number = 1,
volume = 18,
place = {United States},
year = {Mon Dec 13 00:00:00 EST 2021},
month = {Mon Dec 13 00:00:00 EST 2021}
}
Works referenced in this record:
Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect
journal, October 1994
- Fertig, H. A.; Brey, L.; Côté, R.
- Physical Review B, Vol. 50, Issue 15
Spin excitation spectra of integral and fractional quantum Hall systems
journal, July 2002
- Wójs, Arkadiusz; Quinn, John J.
- Physical Review B, Vol. 66, Issue 4
Scattering of Magnons at Graphene Quantum-Hall-Magnet Junctions
journal, March 2021
- Wei, Nemin; Huang, Chunli; MacDonald, Allan H.
- Physical Review Letters, Vol. 126, Issue 11
Many-body effects on the cyclotron resonance in a two-dimensional electron gas
journal, March 1985
- Kallin, C.; Halperin, B. I.
- Physical Review B, Vol. 31, Issue 6
Compressibility of the two-dimensional electron gas: Measurements of the zero-field exchange energy and fractional quantum Hall gap
journal, July 1994
- Eisenstein, J. P.; Pfeiffer, L. N.; West, K. W.
- Physical Review B, Vol. 50, Issue 3
SU(4) spin waves in the
ν = ± 1
quantum Hall ferromagnet in graphene
journal, May 2021
- Atteia, Jonathan; Goerbig, Mark Oliver
- Physical Review B, Vol. 103, Issue 19
Light-Induced Superconductivity in a Stripe-Ordered Cuprate
journal, January 2011
- Fausti, D.; Tobey, R. I.; Dean, N.
- Science, Vol. 331, Issue 6014
Spin and valley quantum Hall ferromagnetism in graphene
journal, May 2012
- Young, A. F.; Dean, C. R.; Wang, L.
- Nature Physics, Vol. 8, Issue 7
SU(4) Skyrmions in theν = ± 1 Quantum Hall State of Graphene
journal, July 2016
- Lian, Y.; Rosch, A.; Goerbig, M. O.
- Physical Review Letters, Vol. 117, Issue 5
Solids of quantum Hall skyrmions in graphene
journal, December 2019
- Zhou, H.; Polshyn, H.; Taniguchi, T.
- Nature Physics, Vol. 16, Issue 2
Soft modes in magic angle twisted bilayer graphene
preprint, January 2020
- Khalaf, Eslam; Bultinck, Nick; Vishwanath, Ashvin
- arXiv
Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
journal, September 2012
- Feldman, B. E.; Krauss, B.; Smet, J. H.
- Science, Vol. 337, Issue 6099
Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies
journal, June 1993
- Sondhi, S. L.; Karlhede, A.; Kivelson, S. A.
- Physical Review B, Vol. 47, Issue 24
Excitations from a filled Landau level in the two-dimensional electron gas
journal, November 1984
- Kallin, C.; Halperin, B. I.
- Physical Review B, Vol. 30, Issue 10
Electrical generation and detection of spin waves in a quantum Hall ferromagnet
journal, October 2018
- Wei, Di S.; van der Sar, Toeno; Lee, Seung Hwan
- Science, Vol. 362, Issue 6411
Twisted bilayer graphene. V. Exact analytic many-body excitations in Coulomb Hamiltonians: Charge gap, Goldstone modes, and absence of Cooper pairing
journal, May 2021
- Bernevig, B. Andrei; Lian, Biao; Cowsik, Aditya
- Physical Review B, Vol. 103, Issue 20
Hartree-Fock theory of Skyrmions in quantum Hall ferromagnets
journal, April 1997
- Fertig, H. A.; Brey, Luis; Côté, R.
- Physical Review B, Vol. 55, Issue 16
Bose–Einstein condensation of quasi-equilibrium magnons at room temperature under pumping
journal, September 2006
- Demokritov, S. O.; Demidov, V. E.; Dzyapko, O.
- Nature, Vol. 443, Issue 7110
Lattice collective modes from a continuum model of magic-angle twisted bilayer graphene
journal, July 2021
- Kumar, Ajesh; Xie, Ming; MacDonald, A. H.
- Physical Review B, Vol. 104, Issue 3
Negative compressibility of interacting two-dimensional electron and quasiparticle gases
journal, February 1992
- Eisenstein, J. P.; Pfeiffer, L. N.; West, K. W.
- Physical Review Letters, Vol. 68, Issue 5
Long-distance spin transport through a graphene quantum Hall antiferromagnet
journal, June 2018
- Stepanov, Petr; Che, Shi; Shcherbakov, Dmitry
- Nature Physics, Vol. 14, Issue 9
Spin Superfluidity in the Quantum Hall State of Graphene
journal, May 2016
- Takei, So; Yacoby, Amir; Halperin, Bertrand I.
- Physical Review Letters, Vol. 116, Issue 21
Dissipative transport in quantum Hall ferromagnets by spin-wave scattering
journal, March 2002
- Green, A. G.; Cooper, N. R.
- Physical Review B, Vol. 65, Issue 12
Quantum Hall Ferromagnetism in Graphene
journal, June 2006
- Nomura, Kentaro; MacDonald, Allan H.
- Physical Review Letters, Vol. 96, Issue 25
Spin-valley skyrmions in graphene at filling factor
journal, June 2017
- Lian, Yunlong; Goerbig, Mark O.
- Physical Review B, Vol. 95, Issue 24
Collective modes and skyrmion excitations in graphene quantum Hall ferromagnets
journal, August 2006
- Yang, Kun; Das Sarma, S.; MacDonald, A. H.
- Physical Review B, Vol. 74, Issue 7
Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
journal, August 2006
- Alicea, Jason; Fisher, Matthew P. A.
- Physical Review B, Vol. 74, Issue 7
Fractional and integer quantum Hall effects in the zeroth Landau level in graphene
journal, September 2013
- Abanin, Dmitry A.; Feldman, Benjamin E.; Yacoby, Amir
- Physical Review B, Vol. 88, Issue 11
Control and local measurement of the spin chemical potential in a magnetic insulator
journal, July 2017
- Du, Chunhui; van der Sar, Toeno; Zhou, Tony X.
- Science, Vol. 357, Issue 6347