Abstract
Multielectron bubbles (MEBs) are cavities in liquid helium that contain electrons and possibly vapour. They provide a versatile platform for exploring properties of interacting electrons in two dimensions in a regime of densities that has not been previously available. Since the electrons are pushed against the deformable curved inner surface of the bubble, MEBs also provide an environment to study the roles of curvatures. In this review, we describe the current understanding of MEBs, with a focus on their stability issues, and highlight recent experimental studies of this interesting system.
Similar content being viewed by others
References
R.J. Donelly, C.F. Barenghi, J. Phy. Chem. Ref. Data 27, 1217 (1998)
W.T. Sommer, Phys. Rev. Lett. 12, 271 (1964)
M.W. Cohen, M.H. Cole, Phys. Rev. Lett. 23, 1238 (1969)
V.B. Shikin, JETP 33, 387 (1971)
H.J. Maris, J. Phys. Soc. Jpn. 77, 111008 (2008)
A.M. Troyanovskii, A.P. Volodin, M.S. Khaikin, JETP Lett. 29, 382 (1979)
A.M. Troyanovskil, M.S. Khalkin, Sov. Phys. JETP 54, 214 (1981)
K. Kono, U. Albrecht, P. Leiderer, J. Low Temp. Phys. 82, 279 (1991)
K. Kajita, Surf. Sci. 142, 86 (1984)
M. Wanner, P. Leiderer, Phys. Rev. Lett. 42, 315 (1979)
D. Savignac, P. Leiderer, Phys. Rev. Lett. 49, 1869 (1982)
C.J. Mellor, W.F. Vinen, Surf. Sci. 229, 368 (1990)
L. Bruschi, G. Mazzi, M. Santini, Phys. Rev. Lett. 28, 1504 (1972)
M.W. Cole, Rev. Mod. Phys. 46, 451 (1974)
C.C. Grimes, Surf. Sci. 73, 379 (1978)
R.S. Crandall, Surf. Sci. 58, 266 (1976)
P. Leiderer, J. Low Temp. Phys. 87, 247 (1992)
K. Kono, K. Kajita, S. Kobayashi, W. Sasaki, J. Low Temp. Phys. 46, 195 (1982)
C.C. Grimes, T.R. Brown, M.L. Burns, C.L. Zipfel, Phys. Rev. B 13, 140 (1976)
Y. Monarkha, K. Kono, Two-Dimensional Coulomb Liquids and Solids (Springer, Berlin, 2004), pp. 1–63
W.T. Sommer, D.J. Tanner, Phys. Rev. Lett. 27, 1345 (1971)
A.S. Rybalko, Y.Z. Kovdrya, B.N. Esel’son, JETP Lett. 22, 280 (1975)
C.C. Grimes, G. Adams, Phys. Rev. Lett. 36, 145 (1976)
R. Mehrotra, C.J. Guo, Y.Z. Ruan, D.B. Mast, A.J. Dahm, Phys. Rev. B 29, 5239 (1984)
C.C. Grimes, G. Adams, Phys. Rev. Lett. 42, 795 (1979)
R. Mehrotra, B.M. Guenin, A.J. Dahm, Phys. Rev. Lett. 48, 641 (1982)
G. Deville, A. Valdes, E.Y. Andrei, F.I.B. Williams, Phys. Rev. Lett. 53, 588 (1984)
R.H. Morf, Phys. Rev. Lett. 43, 931 (1979)
R.C. Gann, S. Chakravarty, G.V. Chester, Phys. Rev. B 20, 326 (1979)
L.P. Gor’kov, D.M. Chernikova, ZhETF Pis. Red. 18, 119 (1973)
A. Volodin, M. Khaikin, V. Edel’man, JETP Lett. 26, 543 (1977)
F.M. Peeters, P.M. Platzman, Phys. Rev. Lett. 50, 2021 (1983)
X.L. Hu, A.J. Dahm, Phys. Rev. B 42, 2010 (1990)
J. Angrik, A. Faustein, J. Klier, P. Leiderer, J. Low Temp. Phys. 137, 335 (2004)
P. Leiderer, E. Scheer, K. Kono, J.J. Lin, D.G. Rees, J. Low Temp. Phys. 183, 258 (2016)
B. Lehndorff, K. Dransfeld, J. Phys. 50, 2579 (1989)
C. Vicente, W. Yao, H.J. Maris, G.M. Seidel, Phys. Rev. B Condens. Matter Mater. Phys. 66, 1 (2002)
W. Guo, D. Jin, H.J. Maris, Phys. Rev. B Condens. Matter Mater. Phys. 78, 140504 (2008)
J. Tempere, S.N. Klimin, I.F. Silvera, J.T. Devreese, Eur. Phys. J. B 32, 329 (2003)
H.J. Maris, W. Guo, J. Low Temp. Phys. 137, 491 (2004)
V.B. Shikin, JETP Lett. 27, 39 (1978)
M.M. Salomaa, G.A. Williams, Phys. Scr. 1983, 204 (1983)
K.W. Shung, F. Lin, Phys. Rev. B 45, 7491 (1992)
M.M. Salomaa, G.A. Williams, Phys. Scr. T4, 204 (1983)
J. Tempere, I.F. Silvera, J.T. Devreese, Phys. Rev. B 67, 035402 (2003)
W. Guo, D. Jin, H.J. Maris, Phys. Rev. B 78, 014511 (2008)
S.T. Hannahs, G.A. Williams, M.M. Salomaa, in IEEE Ultrasonics Symposium Proceedings. An International Symposium Seattle, WA, USA vol. 1, p. 635 (1995)
J. Classen, C.K. Su, M. Mohazzab, H.J. Maris, Phys. Rev. B 57, 3000 (1998)
J. Tempere, I.F. Silvera, J.T. Devreese, Phys. Rev. Lett. 87, 275301 (2001)
G.A. Williams, M.M. Salomaa, Phys. Rev. Lett. 47, 1730 (1981)
D.L. Dexter, W.B. Fowler, Phys. Rev. 183, 307 (1969)
H.J. Maris, J. Low Temp. Phys. 132, 77 (2003)
L. Lehtovaara, J. Eloranta, J. Low Temp. Phys. 148, 43 (2007)
W. Wei, Z. Xie, H.J. Maris, Phys. Rev. B 89, 064504 (2014)
R. Williams, R.S. Crandall, Phys. Rev. A 5, 2183 (1972)
U. Albrecht, P. Leiderer, Eur. Lett. 3, 705 (1987)
J. Fang, J. Tempere, I.F. Silvera, J. Low Temp. Phys. 187, 54 (2017)
J. Fang, A.E. Dementyev, J. Tempere, I.F. Silvera, Rev. Sci. Instrum. 82, 033904 (2011). https://doi.org/10.1063/1.3553030
I.F. Silvera, J. Fang, J. Tempere, J. Phys. Conf. Ser. 568, 012016 (2014). https://doi.org/10.1088/1742-6596/568/1/012016
E.M. Joseph, V. Vadakkumbatt, A. Pal, A. Ghosh, J. Low Temp. Phys. 175, 78 (2014)
V. Vadakkumbatt and A. Ghosh, in J. Phys. Conf. Ser. 969, 012018 (2018)
V. Vadakkumbatt, A. Ghosh, J. Low Temp. Phys. 187, 369 (2017)
V. Vadakkumbatt, E. Joseph, A. Pal, A. Ghosh, Nat. Commun. 5, 1–16 (2014)
V. Vadakkumbatt, E.M. Joseph, A. Pal, A. Ghosh, J. Low Temp. Phys. 171, 239–244 (2013)
E.M. Joseph, V. Vadakkumbatt, A. Pal, A. Ghosh, J. Low Temp. Phys. 187, 580 (2017)
R. Mei, J.F. Klausner, C.J. Lawrence, Phys. Fluids 6, 418 (1994)
J. Magnaudet, I. Eames, Annu. Rev. Fluid Mech. 32, 659 (2000)
H.J. Maris, Am. J. Phys. 87, 643 (2019)
A. Basset, A Treatise on Hydrodynamics: With Numerous Examples (Deighton, Bell and Company, London, 1888)
J.V. Boussinesq, C. R. Acad. Des. Sci. 100, 935 (1885)
I. Kim, S. Elghobashi, W.A. Sirignano, J. Fluid Mech. 367, 221 (1998)
M.R. Maxey, J.J. Riley, Phys. Fluids 26, 883 (1983)
U. Albrecht, P. Leiderer, J. Low Temp. Phys. 86, 131 (1992)
D.R. Poole, C.F. Barenghi, Y.A. Sergeev, W.F. Vinen, Phys. Rev. B Condens. Matter Mater. Phys. 71, 064514 (2005)
A. Pal, E. Joseph, V. Vadakkumbatt, N. Yadav, V. Srinivasan, H.J. Maris, A. Ghosh, J. Low Temp. Phys. 188, 101 (2017)
P.K. Rath, Y. Huang, A. Ghosh, J. Low Temp. Phys. (2020). https://doi.org/10.1007/s10909-020-02345-1
N. Yadav, V. Vadakkumbatt, A. Ghosh, J. Low Temp. Phys. (2020). https://doi.org/10.1007/s10909-020-02353-1
J. Classen, C.-K. Su, H.J. Maris, Phys. Rev. Lett. 77, 2006 (1996)
N. Yadav, V. Vadakkumbatt, H.J. Maris, A. Ghosh, J. Low Temp. Phys. 187, 618 (2017)
W. Guo, D. Jin, G.M. Seidel, H.J. Maris, Phys. Rev. B 79, 054515 (2009)
D. Konstantinov, H.J. Maris, Phys. Rev. Lett. 90, 3 (2003)
A. Ghosh, H.J. Maris, Phys. Rev. B Condens. Matter Mater. Phys. 72, 054512 (2005)
A. Ghosh, H.J. Maris, Phys. Rev. Lett. 95, 1 (2005)
H.J. Maris, A. Ghosh, J. Low Temp. Phys. 134, 251 (2004)
D. Konstantinov, W. Homsi, J. Luzuriaga, C.-K. Su, M.A. Weilert, H.J. Maris, J. Low Temp. Phys. 113, 485 (1998)
Y. Yang, S. Sirisky, W. Wei, G.M. Seidel, H.J. Maris, J. Low Temp. Phys. 192, 48 (2018)
R. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991)
G.W. Rayfield, F. Reif, Phys. Rev. 136, A1194 (1964)
B. Tanatar, D.M. Ceperley, Phys. Rev. B 39, 5005 (1989)
S.T. Chui, K. Esfarjani, EPL 14, 361 (1991)
A. Ghosal, A.D. Güçlü, C.J. Umrigar, D. Ullmo, H.U. Baranger, Nat. Phys. 2, 336 (2006)
J. Tempere, V.N. Gladilin, I.F. Silvera, J.T. Devreese, Phys. Rev. B 72, 094506 (2005)
J. Tempere, I.F. Silvera, J.T. Devreese, Surf. Sci. Rep. 62, 159 (2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yadav, N., Rath, P.K., Xie, Z. et al. Multielectron Bubbles in Liquid Helium. J Low Temp Phys 201, 658–675 (2020). https://doi.org/10.1007/s10909-020-02436-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-020-02436-z