Single-valley quantum Hall ferromagnet in a dilute MgxZn1-xO/ZnO strongly correlated two-dimensional electron system

Kozuka, Y.; Tsukazaki, A.; Maryenko, D.; Falson, J.; Bell, C.; Kim, M.; Hikita, Y.; Hwang, H. Y.; Kawasaki, M.

doi:10.1103/PhysRevB.85.075302

Title: Single-valley quantum Hall ferromagnet in a dilute Mg_xZn_1-xO/ZnO strongly correlated two-dimensional electron system

Abstract

We investigate the spin susceptibility (g*m*) of dilute two-dimensional (2D) electrons confined at the Mg_xZn_1-xO/ZnO heterointerface. Magnetotransport measurements show a four-fold enhancement of g*m*, dominated by the increase in the Landé g-factor. The g-factor enhancement leads to a ferromagnetic instability of the electron gas as evidenced by sharp resistance spikes. At high magnetic field, the large g*m* leads to full spin polarization, where we found sudden increase in resistance around the filling factors of half-integer, accompanied by complete disappearance of fractional quantum Hall (QH) states. Along with its large effective mass and the high electron mobility, our result indicates that the ZnO 2D system is ideal for investigating the effect of electron correlations in the QH regime.

Authors:: Kozuka, Y.; Tsukazaki, A.; Maryenko, D.; Falson, J.; Bell, C.; Kim, M.; Hikita, Y.; Hwang, H. Y.; Kawasaki, M.

Publication Date:: Fri Feb 03 00:00:00 EST 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1099093

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Volume: 85 Journal Issue: 7; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Kozuka, Y., Tsukazaki, A., Maryenko, D., Falson, J., Bell, C., Kim, M., Hikita, Y., Hwang, H. Y., and Kawasaki, M. Single-valley quantum Hall ferromagnet in a dilute MgxZn1-xO/ZnO strongly correlated two-dimensional electron system.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevB.85.075302.

Copy to clipboard


                    Kozuka, Y., Tsukazaki, A., Maryenko, D., Falson, J., Bell, C., Kim, M., Hikita, Y., Hwang, H. Y., & Kawasaki, M. Single-valley quantum Hall ferromagnet in a dilute MgxZn1-xO/ZnO strongly correlated two-dimensional electron system.  United States.  https://doi.org/10.1103/PhysRevB.85.075302

Copy to clipboard


                    Kozuka, Y., Tsukazaki, A., Maryenko, D., Falson, J., Bell, C., Kim, M., Hikita, Y., Hwang, H. Y., and Kawasaki, M. Fri .  
"Single-valley quantum Hall ferromagnet in a dilute MgxZn1-xO/ZnO strongly correlated two-dimensional electron system".  United States.  https://doi.org/10.1103/PhysRevB.85.075302.

Copy to clipboard


                    
@article{osti_1099093,

  title        = {Single-valley quantum Hall ferromagnet in a dilute MgxZn1-xO/ZnO strongly correlated two-dimensional electron system},

  author       = {Kozuka, Y. and Tsukazaki, A. and Maryenko, D. and Falson, J. and Bell, C. and Kim, M. and Hikita, Y. and Hwang, H. Y. and Kawasaki, M.},

  abstractNote = {We investigate the spin susceptibility (g*m*) of dilute two-dimensional (2D) electrons confined at the MgxZn1-xO/ZnO heterointerface. Magnetotransport measurements show a four-fold enhancement of g*m*, dominated by the increase in the Landé g-factor. The g-factor enhancement leads to a ferromagnetic instability of the electron gas as evidenced by sharp resistance spikes. At high magnetic field, the large g*m* leads to full spin polarization, where we found sudden increase in resistance around the filling factors of half-integer, accompanied by complete disappearance of fractional quantum Hall (QH) states. Along with its large effective mass and the high electron mobility, our result indicates that the ZnO 2D system is ideal for investigating the effect of electron correlations in the QH regime.},

  doi          = {10.1103/PhysRevB.85.075302},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 7,

  volume       = 85,

  place        = {United States},

  year         = {Fri Feb 03 00:00:00 EST 2012},

  month        = {Fri Feb 03 00:00:00 EST 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.85.075302

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 34 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Possible metal-insulator transition at B =0 in two dimensions
journal, September 1994

Kravchenko, S. V.; Kravchenko, G. V.; Furneaux, J. E.
Physical Review B, Vol. 50, Issue 11
DOI: 10.1103/PhysRevB.50.8039

Resistance Spikes and Domain Wall Loops in Ising Quantum Hall Ferromagnets
journal, October 2001

Jungwirth, T.; MacDonald, A. H.
Physical Review Letters, Vol. 87, Issue 21
DOI: 10.1103/PhysRevLett.87.216801

Ising quantum Hall ferromagnetism in InSb-based two-dimensional electronic systems
journal, June 2004

Chokomakoua, J. C.; Goel, N.; Chung, S. J.
Physical Review B, Vol. 69, Issue 23
DOI: 10.1103/PhysRevB.69.235315

Ground state of the two-dimensional electron gas
journal, March 1989

Tanatar, B.; Ceperley, D. M.
Physical Review B, Vol. 39, Issue 8
DOI: 10.1103/PhysRevB.39.5005

Spin-Dependent Resistivity at Transitions between Integer Quantum Hall States
journal, May 2005

Vakili, K.; Shkolnikov, Y. P.; Tutuc, E.
Physical Review Letters, Vol. 94, Issue 17
DOI: 10.1103/PhysRevLett.94.176402

Spin Susceptibility of Two-Dimensional Electrons in Narrow AlAs Quantum Wells
journal, June 2004

Vakili, K.; Shkolnikov, Y. P.; Tutuc, E.
Physical Review Letters, Vol. 92, Issue 22
DOI: 10.1103/PhysRevLett.92.226401

Resistance Spikes at Transitions Between Quantum Hall Ferromagnets
journal, November 2000

De Poortere, E. P.
Science, Vol. 290, Issue 5496
DOI: 10.1126/science.290.5496.1546

Critical Resistance in the AlAs Quantum Hall Ferromagnet
journal, November 2003

De Poortere, E. P.; Tutuc, E.; Shayegan, M.
Physical Review Letters, Vol. 91, Issue 21
DOI: 10.1103/PhysRevLett.91.216802

Metal–insulator transitions and the effects of electron–electron interactions in two-dimensional electron systems
journal, February 2005

Shashkin, Aleksandr A.
Physics-Uspekhi, Vol. 48, Issue 2
DOI: 10.1070/PU2005v048n02ABEH001944

Ising Quantum Hall Ferromagnet in Magnetically Doped Quantum Wells
journal, December 2002

Jaroszyński, J.; Andrearczyk, T.; Karczewski, G.
Physical Review Letters, Vol. 89, Issue 26
DOI: 10.1103/PhysRevLett.89.266802

Spin-Independent Origin of the Strongly Enhanced Effective Mass in a Dilute 2D Electron System
journal, July 2003

Shashkin, A. A.; Rahimi, Maryam; Anissimova, S.
Physical Review Letters, Vol. 91, Issue 4
DOI: 10.1103/PhysRevLett.91.046403

Magnesium Doping Controlled Density and Mobility of Two-Dimensional Electron Gas in Mg$_{x}$Zn$_{1-x}$O/ZnO Heterostructures
journal, August 2011

Falson, Joseph; Maryenko, Denis; Kozuka, Yusuke
Applied Physics Express, Vol. 4, Issue 9
DOI: 10.1143/APEX.4.091101

Measurements of the Density-Dependent Many-Body Electron Mass in Two Dimensional $G a A s / A l G a A s$ Heterostructures
journal, January 2005

Tan, Y. -W.; Zhu, J.; Stormer, H. L.
Physical Review Letters, Vol. 94, Issue 1
DOI: 10.1103/PhysRevLett.94.016405

Charge Excitations in Easy-Axis and Easy-Plane Quantum Hall Ferromagnets
journal, October 2001

Muraki, Koji; Saku, Tadashi; Hirayama, Yoshiro
Physical Review Letters, Vol. 87, Issue 19
DOI: 10.1103/PhysRevLett.87.196801

Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
journal, October 2005

Punnoose, A.
Science, Vol. 310, Issue 5746
DOI: 10.1126/science.1115660

Spin Susceptibility of an Ultra-Low-Density Two-Dimensional Electron System
journal, February 2003

Zhu, J.; Stormer, H. L.; Pfeiffer, L. N.
Physical Review Letters, Vol. 90, Issue 5
DOI: 10.1103/PhysRevLett.90.056805

Electronic Transport Properties of the Ising Quantum Hall Ferromagnet in a Si Quantum Well
journal, July 2008

Toyama, Kiyohiko; Nishioka, Takahisa; Sawano, Kentarou
Physical Review Letters, Vol. 101, Issue 1
DOI: 10.1103/PhysRevLett.101.016805

Spin susceptibility of interacting two-dimensional electrons with anisotropic effective mass
journal, December 2007

Gokmen, T.; Padmanabhan, Medini; Tutuc, E.
Physical Review B, Vol. 76, Issue 23
DOI: 10.1103/PhysRevB.76.233301

Observation of the fractional quantum Hall effect in an oxide
journal, October 2010

Tsukazaki, A.; Akasaka, S.; Nakahara, K.
Nature Materials, Vol. 9, Issue 11
DOI: 10.1038/nmat2874

Quantum oscillations in two-dimensional systems with finite width
journal, August 1986

Smrcka, L.; Havlova, H.; Isihara, A.
Journal of Physics C: Solid State Physics, Vol. 19, Issue 22
DOI: 10.1088/0022-3719/19/22/001

Sharp increase of the effective mass near the critical density in a metallic two-dimensional electron system
journal, August 2002

Shashkin, A. A.; Kravchenko, S. V.; Dolgopolov, V. T.
Physical Review B, Vol. 66, Issue 7
DOI: 10.1103/PhysRevB.66.073303

Quantum Hall ferromagnet at high filling factors: A magnetic-field-induced Stoner transition
journal, December 2005

Piot, B. A.; Maude, D. K.; Henini, M.
Physical Review B, Vol. 72, Issue 24
DOI: 10.1103/PhysRevB.72.245325

Contrast between spin and valley degrees of freedom
journal, June 2010

Gokmen, T.; Padmanabhan, Medini; Shayegan, M.
Physical Review B, Vol. 81, Issue 23
DOI: 10.1103/PhysRevB.81.235305

Spin susceptibility and effective mass of two-dimensional electrons in ${Mg}_{x} {Zn}_{1 - x} O / ZnO$ heterostructures
journal, December 2008

Tsukazaki, A.; Ohtomo, A.; Kawasaki, M.
Physical Review B, Vol. 78, Issue 23
DOI: 10.1103/PhysRevB.78.233308

Insulating phase of a two-dimensional electron gas in Mg $_{x}$ Zn $_{1 - x}$ O/ZnO heterostructures below $ν = \frac{1}{3}$
journal, July 2011

Kozuka, Y.; Tsukazaki, A.; Maryenko, D.
Physical Review B, Vol. 84, Issue 3
DOI: 10.1103/PhysRevB.84.033304

$g$ Factor of the Two-Dimensional Interacting Electron Gas
journal, February 1969

Janak, J. F.
Physical Review, Vol. 178, Issue 3
DOI: 10.1103/PhysRev.178.1416

Indication of the Ferromagnetic Instability in a Dilute Two-Dimensional Electron System
journal, August 2001

Shashkin, A. A.; Kravchenko, S. V.; Dolgopolov, V. T.
Physical Review Letters, Vol. 87, Issue 8
DOI: 10.1103/PhysRevLett.87.086801

Single-particle and transport scattering times in narrow GaAs/ ${Al}_{x}$ ${Ga}_{1 - x}$ As quantum wells
journal, April 1990

Bockelmann, U.; Abstreiter, G.; Weimann, G.
Physical Review B, Vol. 41, Issue 11
DOI: 10.1103/PhysRevB.41.7864

Valley splitting of $Si ∕ {Si}_{1 - x} {Ge}_{x}$ heterostructures in tilted magnetic fields
journal, April 2006

Lai, K.; Lu, T. M.; Pan, W.
Physical Review B, Vol. 73, Issue 16
DOI: 10.1103/PhysRevB.73.161301

Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
journal, March 1979

Abrahams, E.; Anderson, P. W.; Licciardello, D. C.
Physical Review Letters, Vol. 42, Issue 10
DOI: 10.1103/PhysRevLett.42.673

Excitonic collapse of higher Landau level fractional quantum Hall effect
journal, December 2000

Scarola, V. W.; Park, Kwon; Jain, J. K.
Physical Review B, Vol. 62, Issue 24
DOI: 10.1103/PhysRevB.62.R16259

Similar Records in DOE PAGES and OSTI.GOV collections:

Extraordinary Hall effect and universal scaling in Fe{sub x}(ZnO){sub 1–x} granular thin films at room temperature

Journal Article Li, Hao-Bo ; Liu, Mengyin ; He, Jie ; ... - Applied Physics Letters

On the benefit of the concept of the so-called diluted magnetic oxides, Fe{sub x}(ZnO){sub 1–x} (x = 0.50–0.85) granular thin films with different thickness through 2D and 3D percolation region were prepared by ion beam assisted deposition. All samples are ferromagnetic at room-temperature due to the ferromagnetic nature of the Fe-doped ZnO matrix, which is quite different from the superparamagnetic behavior in the insulator-matrix based granular films. Along with decreasing thickness, the Hall coefficient R{sub S} is largely enhanced. The maximum R{sub S} reaches 4.27 × 10{sup −7} m{sup 3}/C in ∼2.8 nm Fe{sub 0.6}(ZnO){sub 0.4} granular film, which is nearly 9 times larger than themore »« less
https://doi.org/10.1063/1.4905357
Interfacial and bulk polaron masses in Zn{sub 1−x}Mg{sub x}O/ZnO heterostructures examined by terahertz time-domain cyclotron spectroscopy

Journal Article Lloyd-Hughes, J., E-mail: j.lloyd-hughes@warwick.ac.uk ; Failla, M. ; Ye, J., E-mail: yejd@nju.edu.cn ; ... - Applied Physics Letters

The cyclotron resonance of polarons in Zn{sub 1−x}Mg{sub x}O/ZnO heterostructures (with 0.15<0.22) was studied by terahertz time-domain spectroscopy. Low-temperature magnetoconductivity spectra of the 2D electron gas at the Zn{sub 1−x}Mg{sub x}O/ZnO interface determined the polaron density, mass, and scattering rate. The cyclotron mass of 2D polarons was found to increase significantly with magnetic field B from 0.24 m{sub e} at B = 2 T to 0.37 m{sub e} at B = 7.5 T. A nonlinear cyclotron frequency with B was also observed for 3D polarons in ZnO. The findings are discussed in the context of polaron mass renormalization driven by the electron-LO-phonon and electron-acoustic phonon interactions.
https://doi.org/10.1063/1.4921469
Identifying the sources of ferromagnetism in sol-gel synthesized Zn{sub 1−x}Co{sub x}O (0≤x≤0.10) nanoparticles

Journal Article Beltrán, J.J., E-mail: jjbj08@gmail.com ; Grupo de Estado Sólido, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia, UdeA, Calle 70 No 52-21, Medellín ; Barrero, C. A. ; ... - Journal of Solid State Chemistry

We have carefully investigated the structural, optical and electronic properties and related them with changes in the magnetism of sol-gel synthesized Zn{sub 1−x}Co{sub x}O (0≤x≤0.10) nanoparticles. Samples with x≤0.05 were free of spurious phases. Samples with x≤0.03 were found to be with only high spin Co{sup 2+} ions into ZnO structure, whereas sample with x=0.05, exhibited the presence of high spin Co{sup 2+} and low spin Co{sup 3+}. We found that the intensity of the main EPR peak associated with Co{sup 2+} varies with the nominal Co content in a similar manner as the saturation magnetization and coercive field do.more »« less
https://doi.org/10.1016/J.JSSC.2016.05.013
Quantum Hall ferromagnetic transition in a Ge 2D hole system

Technical Report Lu, Tzu-Ming ; Tracy, Lisa A. ; Laroche, D. ; ...

When two Landau levels are brought into energy degeneracy, interesting phases and phase transitions can occur. For single-layer 2D electrons, a quantum Hall ferromagnetic transition (QHFT) occurs when Landau levels with opposite spins are made degenerate by an in-plane magnetic field, which enhances the Zeeman splitting but keeps the cyclotron energy constant. At the QHFT, the 2D electron system breaks up into magnetic domains with opposite spins, and a resistance spike is observed as electrons move through the domain wall loops. An alternative way to enhance the ratio of Zeeman splitting to the cyclotron energy, which is proportional to m*g*,more »« less
https://doi.org/10.2172/1505345

Full Text Available
Observation of dopant-profile independent electron transport in sub-monolayer TiO{sub x} stacked ZnO thin films grown by atomic layer deposition

Journal Article Saha, D., E-mail: sahaphys@gmail.com, E-mail: pmisra@rrcat.gov.in ; Misra, P., E-mail: sahaphys@gmail.com, E-mail: pmisra@rrcat.gov.in ; Joshi, M. P. ; ... - Applied Physics Letters

Dopant-profile independent electron transport has been observed through a combined study of temperature dependent electrical resistivity and magnetoresistance measurements on a series of Ti incorporated ZnO thin films with varying degree of static-disorder. These films were grown by atomic layer deposition through in-situ vertical stacking of multiple sub-monolayers of TiO{sub x} in ZnO. Upon decreasing ZnO spacer layer thickness, electron transport smoothly evolved from a good metallic to an incipient non-metallic regime due to the intricate interplay of screening of spatial potential fluctuations and strength of static-disorder in the films. Temperature dependent phase-coherence length as extracted from the magnetotransport measurementmore »« less
https://doi.org/10.1063/1.4939926

Similar Records

Title: Single-valley quantum Hall ferromagnet in a dilute MgxZn1-xO/ZnO strongly correlated two-dimensional electron system

Abstract

Citation Formats

Possible metal-insulator transition at B =0 in two dimensions journal, September 1994

Resistance Spikes and Domain Wall Loops in Ising Quantum Hall Ferromagnets journal, October 2001

Ising quantum Hall ferromagnetism in InSb-based two-dimensional electronic systems journal, June 2004

Ground state of the two-dimensional electron gas journal, March 1989

Spin-Dependent Resistivity at Transitions between Integer Quantum Hall States journal, May 2005

Spin Susceptibility of Two-Dimensional Electrons in Narrow AlAs Quantum Wells journal, June 2004

Resistance Spikes at Transitions Between Quantum Hall Ferromagnets journal, November 2000

Critical Resistance in the AlAs Quantum Hall Ferromagnet journal, November 2003

Metal–insulator transitions and the effects of electron–electron interactions in two-dimensional electron systems journal, February 2005

Ising Quantum Hall Ferromagnet in Magnetically Doped Quantum Wells journal, December 2002

Spin-Independent Origin of the Strongly Enhanced Effective Mass in a Dilute 2D Electron System journal, July 2003

Magnesium Doping Controlled Density and Mobility of Two-Dimensional Electron Gas in Mg$_{x}$Zn$_{1-x}$O/ZnO Heterostructures journal, August 2011

Measurements of the Density-Dependent Many-Body Electron Mass in Two Dimensional G a A s / A l G a A s Heterostructures journal, January 2005

Charge Excitations in Easy-Axis and Easy-Plane Quantum Hall Ferromagnets journal, October 2001

Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems journal, October 2005

Spin Susceptibility of an Ultra-Low-Density Two-Dimensional Electron System journal, February 2003

Electronic Transport Properties of the Ising Quantum Hall Ferromagnet in a Si Quantum Well journal, July 2008

Spin susceptibility of interacting two-dimensional electrons with anisotropic effective mass journal, December 2007

Observation of the fractional quantum Hall effect in an oxide journal, October 2010

Quantum oscillations in two-dimensional systems with finite width journal, August 1986

Sharp increase of the effective mass near the critical density in a metallic two-dimensional electron system journal, August 2002

Quantum Hall ferromagnet at high filling factors: A magnetic-field-induced Stoner transition journal, December 2005

Contrast between spin and valley degrees of freedom journal, June 2010

Spin susceptibility and effective mass of two-dimensional electrons in Mg x Zn 1 − x O / ZnO heterostructures journal, December 2008

Insulating phase of a two-dimensional electron gas in Mg x Zn 1 − x O/ZnO heterostructures below ν = 1 3 journal, July 2011

g Factor of the Two-Dimensional Interacting Electron Gas journal, February 1969

Indication of the Ferromagnetic Instability in a Dilute Two-Dimensional Electron System journal, August 2001

Single-particle and transport scattering times in narrow GaAs/ Al x Ga 1 − x As quantum wells journal, April 1990

Valley splitting of Si ∕ Si 1 − x Ge x heterostructures in tilted magnetic fields journal, April 2006

Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions journal, March 1979

Excitonic collapse of higher Landau level fractional quantum Hall effect journal, December 2000

Title: Single-valley quantum Hall ferromagnet in a dilute Mg_xZn_1-xO/ZnO strongly correlated two-dimensional electron system

Possible metal-insulator transition at B =0 in two dimensions
journal, September 1994

Resistance Spikes and Domain Wall Loops in Ising Quantum Hall Ferromagnets
journal, October 2001

Ising quantum Hall ferromagnetism in InSb-based two-dimensional electronic systems
journal, June 2004

Ground state of the two-dimensional electron gas
journal, March 1989

Spin-Dependent Resistivity at Transitions between Integer Quantum Hall States
journal, May 2005

Spin Susceptibility of Two-Dimensional Electrons in Narrow AlAs Quantum Wells
journal, June 2004

Resistance Spikes at Transitions Between Quantum Hall Ferromagnets
journal, November 2000

Critical Resistance in the AlAs Quantum Hall Ferromagnet
journal, November 2003

Metal–insulator transitions and the effects of electron–electron interactions in two-dimensional electron systems
journal, February 2005

Ising Quantum Hall Ferromagnet in Magnetically Doped Quantum Wells
journal, December 2002

Spin-Independent Origin of the Strongly Enhanced Effective Mass in a Dilute 2D Electron System
journal, July 2003

Magnesium Doping Controlled Density and Mobility of Two-Dimensional Electron Gas in Mg$_{x}$Zn$_{1-x}$O/ZnO Heterostructures
journal, August 2011

Measurements of the Density-Dependent Many-Body Electron Mass in Two Dimensional $G a A s / A l G a A s$ Heterostructures
journal, January 2005

Charge Excitations in Easy-Axis and Easy-Plane Quantum Hall Ferromagnets
journal, October 2001

Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
journal, October 2005

Spin Susceptibility of an Ultra-Low-Density Two-Dimensional Electron System
journal, February 2003

Electronic Transport Properties of the Ising Quantum Hall Ferromagnet in a Si Quantum Well
journal, July 2008

Spin susceptibility of interacting two-dimensional electrons with anisotropic effective mass
journal, December 2007

Observation of the fractional quantum Hall effect in an oxide
journal, October 2010

Quantum oscillations in two-dimensional systems with finite width
journal, August 1986

Sharp increase of the effective mass near the critical density in a metallic two-dimensional electron system
journal, August 2002

Quantum Hall ferromagnet at high filling factors: A magnetic-field-induced Stoner transition
journal, December 2005

Contrast between spin and valley degrees of freedom
journal, June 2010

Spin susceptibility and effective mass of two-dimensional electrons in ${Mg}_{x} {Zn}_{1 - x} O / ZnO$ heterostructures
journal, December 2008

Insulating phase of a two-dimensional electron gas in Mg $_{x}$ Zn $_{1 - x}$ O/ZnO heterostructures below $ν = \frac{1}{3}$
journal, July 2011

$g$ Factor of the Two-Dimensional Interacting Electron Gas
journal, February 1969

Indication of the Ferromagnetic Instability in a Dilute Two-Dimensional Electron System
journal, August 2001

Single-particle and transport scattering times in narrow GaAs/ ${Al}_{x}$ ${Ga}_{1 - x}$ As quantum wells
journal, April 1990

Valley splitting of $Si ∕ {Si}_{1 - x} {Ge}_{x}$ heterostructures in tilted magnetic fields
journal, April 2006

Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
journal, March 1979

Excitonic collapse of higher Landau level fractional quantum Hall effect
journal, December 2000