Thermoelectric transport of the half-filled lowest Landau level in a p -type Ge/SiGe heterostructure

Liu, Xiaoxue; Lu, Tzu-Ming; Harris, Charles Thomas; Lu, Fang-Liang; Liu, Chia-You; Li, Jiun-Yun; Liu, Chee Wee; Du, Rui-Rui

doi:10.1103/PhysRevB.101.075304

Thermoelectric transport of the half-filled lowest Landau level in a $p$ -type Ge/SiGe heterostructure

Journal Article · Tue Feb 11 23:00:00 EST 2020 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.101.075304· OSTI ID:1601273

Liu, Xiaoxue ^[1]; Lu, Tzu-Ming ^[2]; Harris, Charles Thomas ^[2]; Lu, Fang-Liang ^[3]; Liu, Chia-You ^[3]; Li, Jiun-Yun ^[3]; Liu, Chee Wee ^[3]; Du, Rui-Rui ^[1]

Rice Univ., Houston, TX (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies (CINT)
National Taiwan Univ., Taipei, Taiwan (Republic of China); National Nano Device Lab., Hsinchu, Taiwan (Republic of China)

In this work, we investigate the thermoelectric transport properties of the half-filled lowest Landau level $v = 1 / 2$ in a gated two-dimensional hole system in a strained Ge/SiGe heterostructure. The electron-diffusion dominated regime is achieved below 600 mK, where the diffusion thermopower ${S_{x x}}^{d}$ at $v = 1 / 2$ shows a linear temperature dependence. In contrast, the diffusion-dominated Nernst signal ${S_{x y}}^{d}$ of $v = 1 / 2$ is found to approach zero, which is independent of the measurement configuration (sweeping magnetic field at a fixed hole density or sweeping the density by a gate at a fixed magnetic field).

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF); Welch Foundation; USDOE National Nuclear Security Administration (NNSA); Ministry of Science and Technology (Taiwan); Ministry of Education (Taiwan)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1601273

Alternate ID(s):: OSTI ID: 1599513

Report Number(s):: SAND--2020-1875J; 683891

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 7 Vol. 101; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (34)

Thermomagnetic Effect in the Quantum Hall System Shirasaki, Ryoen; Endo, Akira; Hatano, Naomichi Journal of Electronic Materials, Vol. 41, Issue 6 https://doi.org/10.1007/s11664-011-1880-x	journal	February 2012
Observation of two-dimensional electron gas in a Si quantum well with mobility of 1.6×106 cm2/Vs Lu, T. M.; Tsui, D. C.; Lee, C. -H. Applied Physics Letters, Vol. 94, Issue 18 https://doi.org/10.1063/1.3127516	journal	May 2009
Magneto-transport analysis of an ultra-low-density two-dimensional hole gas in an undoped strained Ge/SiGe heterostructure Laroche, D.; Huang, S. -H.; Chuang, Y. Applied Physics Letters, Vol. 108, Issue 23 https://doi.org/10.1063/1.4953399	journal	June 2016
Magnetothermoelectric effects in semiconductor systems Fletcher, R. Semiconductor Science and Technology, Vol. 14, Issue 4 https://doi.org/10.1088/0268-1242/14/4/002	journal	January 1999
The Dirac composite fermion of the fractional quantum Hall effect Son, Dam Thanh Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12 https://doi.org/10.1093/ptep/ptw133	journal	November 2016
Observation of Anderson Localization in an Electron Gas Cutler, Melvin; Mott, N. F. Physical Review, Vol. 181, Issue 3 https://doi.org/10.1103/PhysRev.181.1336	journal	May 1969
Thermoelectric effect in a weakly disordered inversion layer subject to a quantizing magnetic field Jonson, M.; Girvin, S. M. Physical Review B, Vol. 29, Issue 4 https://doi.org/10.1103/PhysRevB.29.1939	journal	February 1984
Thermopower and thermal conductivity in two-dimensional systems in a quantizing magnetic field Oji, Herbert Physical Review B, Vol. 29, Issue 6 https://doi.org/10.1103/PhysRevB.29.3148	journal	March 1984
Particle-hole symmetry in the anomalous quantum Hall effect Girvin, S. M. Physical Review B, Vol. 29, Issue 10 https://doi.org/10.1103/PhysRevB.29.6012	journal	May 1984
Thermoelectric properties of GaAs- Ga 1 − x Al x As heterojunctions at high magnetic fields Fletcher, R.; Maan, J. C.; Ploog, K. Physical Review B, Vol. 33, Issue 10 https://doi.org/10.1103/PhysRevB.33.7122	journal	May 1986
Theory of the half-filled Landau level Halperin, B. I.; Lee, Patrick A.; Read, Nicholas Physical Review B, Vol. 47, Issue 12 https://doi.org/10.1103/PhysRevB.47.7312	journal	March 1993
Observation of composite-fermion thermopower at half-filled Landau levels Ying, X.; Bayot, V.; Santos, M. B. Physical Review B, Vol. 50, Issue 7 https://doi.org/10.1103/PhysRevB.50.4969	journal	August 1994
Thermopower of composite fermions Bayot, V.; Grivei, E.; Manoharan, H. C. Physical Review B, Vol. 52, Issue 12 https://doi.org/10.1103/PhysRevB.52.R8621	journal	September 1995
Thermoelectric response of an interacting two-dimensional electron gas in a quantizing magnetic field Cooper, N. R.; Halperin, B. I.; Ruzin, I. M. Physical Review B, Vol. 55, Issue 4 https://doi.org/10.1103/PhysRevB.55.2344	journal	January 1997
Electrical and thermal transport of composite fermions Karavolas, V. C.; Triberis, G. P.; Peeters, F. M. Physical Review B, Vol. 56, Issue 23 https://doi.org/10.1103/PhysRevB.56.15289	journal	December 1997
Thermopower of a p -type S i / S i 1 − x Ge x heterostructure Possanzini, C.; Fletcher, R.; Tsaousidou, M. Physical Review B, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevB.69.195306	journal	May 2004
Thermopower of two-dimensional electrons at filling factors ν = 3 / 2 and 5/2 Chickering, W. E.; Eisenstein, J. P.; Pfeiffer, L. N. Physical Review B, Vol. 81, Issue 24 https://doi.org/10.1103/PhysRevB.81.245319	journal	June 2010
Fractional quantum Hall effect of two-dimensional electrons in high-mobility Si/SiGe field-effect transistors Lu, T. M.; Pan, W.; Tsui, D. C. Physical Review B, Vol. 85, Issue 12 https://doi.org/10.1103/PhysRevB.85.121307	journal	March 2012
Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids Wang, Chong; Senthil, T. Physical Review B, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevB.93.085110	journal	February 2016
Composite Fermi liquids in the lowest Landau level Wang, Chong; Senthil, T. Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/PhysRevB.94.245107	journal	December 2016
Particle-hole symmetry and electromagnetic response of a half-filled Landau level Levin, Michael; Son, Dam Thanh Physical Review B, Vol. 95, Issue 12 https://doi.org/10.1103/PhysRevB.95.125120	journal	March 2017
Weiss oscillations and particle-hole symmetry at the half-filled Landau level Cheung, Alfred K. C.; Raghu, S.; Mulligan, Michael Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/PhysRevB.95.235424	journal	June 2017
Thermopower and Nernst measurements in a half-filled lowest Landau level Liu, Xiaoxue; Li, Tingxin; Zhang, Po Physical Review B, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevB.97.245425	journal	June 2018
Commensurability Oscillations of Hole-Flux Composite Fermions Kamburov, D.; Shayegan, M.; Pfeiffer, L. N. Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.236401	journal	December 2012
What Determines the Fermi Wave Vector of Composite Fermions? Kamburov, D.; Liu, Yang; Mueed, M. A. Physical Review Letters, Vol. 113, Issue 19 https://doi.org/10.1103/PhysRevLett.113.196801	journal	November 2014
Composite-fermion approach for the fractional quantum Hall effect Jain, J. K. Physical Review Letters, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevLett.63.199	journal	July 1989
Anomalous sound propagation at ν=1/2 in a 2D electron gas: Observation of a spontaneously broken translational symmetry? Willett, R. L.; Paalanen, M. A.; Ruel, R. R. Physical Review Letters, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevLett.65.112	journal	July 1990
Experimental demonstration of a Fermi surface at one-half filling of the lowest Landau level Willett, R. L.; Ruel, R. R.; West, K. W. Physical Review Letters, Vol. 71, Issue 23 https://doi.org/10.1103/PhysRevLett.71.3846	journal	December 1993
Detection of composite fermions by magnetic focusing Goldman, V. J.; Su, B.; Jain, J. K. Physical Review Letters, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevLett.72.2065	journal	March 1994
Diffusion Thermopower of a Two-Dimensional Hole Gas in SiGe in a Quantum Hall Insulating State Possanzini, C.; Fletcher, R.; Coleridge, P. T. Physical Review Letters, Vol. 90, Issue 17 https://doi.org/10.1103/PhysRevLett.90.176601	journal	April 2003
Is the Composite Fermion a Dirac Particle? Son, Dam Thanh Physical Review X, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevX.5.031027	journal	September 2015
Thermoelectric Transport Signatures of Dirac Composite Fermions in the Half-Filled Landau Level Potter, Andrew C.; Serbyn, Maksym; Vishwanath, Ashvin Physical Review X, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevX.6.031026	journal	August 2016
Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level Wang, Chong; Cooper, Nigel R.; Halperin, Bertrand I. Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031029	journal	August 2017
The half-filled Landau level: The case for Dirac composite fermions Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K. Science, Vol. 352, Issue 6282 https://doi.org/10.1126/science.aad4302	journal	April 2016

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