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Adelsberger C, Bosco S, Klinovaja J, Loss D. Valley-Free Silicon Fins Caused by Shear Strain. PHYSICAL REVIEW LETTERS 2024; 133:037001. [PMID: 39094129 DOI: 10.1103/physrevlett.133.037001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/25/2023] [Revised: 04/04/2024] [Accepted: 06/05/2024] [Indexed: 08/04/2024]
Abstract
Electron spins confined in silicon quantum dots are promising candidates for large-scale quantum computers. However, the degeneracy of the conduction band of bulk silicon introduces additional levels dangerously close to the window of computational energies, where the quantum information can leak. The energy of the valley states-typically 0.1 meV-depends on hardly controllable atomistic disorder and still constitutes a fundamental limit to the scalability of these architectures. In this work, we introduce designs of complementary metal-oxide-semiconductor (CMOS)-compatible silicon fin field-effect transistors that enhance the energy gap to noncomputational states by more than one order of magnitude. Our devices comprise realistic silicon-germanium nanostructures with a large shear strain, where troublesome valley degrees of freedom are completely removed. The energy of noncomputational states is therefore not affected by unavoidable atomistic disorder and can further be tuned in situ by applied electric fields. Our design ideas are directly applicable to a variety of setups and will offer a blueprint toward silicon-based large-scale quantum processors.
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Affiliation(s)
- Christopher Melnychuk
- James Franck Institute, The University of Chicago, Chicago, Illinois 60637, United States
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Abstract
Experimental discovery of ultralarge elastic deformation in nanoscale diamond and machine learning of its electronic and phonon structures have created opportunities to address new scientific questions. Can diamond, with an ultrawide bandgap of 5.6 eV, be completely metallized, solely under mechanical strain without phonon instability, so that its electronic bandgap fully vanishes? Through first-principles calculations, finite-element simulations validated by experiments, and neural network learning, we show here that metallization/demetallization as well as indirect-to-direct bandgap transitions can be achieved reversibly in diamond below threshold strain levels for phonon instability. We identify the pathway to metallization within six-dimensional strain space for different sample geometries. We also explore phonon-instability conditions that promote phase transition to graphite. These findings offer opportunities for tailoring properties of diamond via strain engineering for electronic, photonic, and quantum applications.
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Affiliation(s)
- Zhe Shi
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
- Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
| | - Ming Dao
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139;
| | | | | | - Ju Li
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139;
- Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
| | - Subra Suresh
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139;
- Nanyang Technological University, 639798 Singapore, Republic of Singapore
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Zhang W, Chai C, Fan Q, Song Y, Yang Y. Six novel carbon and silicon allotropes with their potential application in photovoltaic field. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:355701. [PMID: 32294638 DOI: 10.1088/1361-648x/ab8982] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/09/2019] [Accepted: 04/15/2020] [Indexed: 06/11/2023]
Abstract
By stacking up five novel cagelike structures, three novel three-dimensional (3D)sp3bonding networks, namedhP24,hP30 andhP36, were predicted in this work for the first time. These three newly discovered structures have trigonal unit cell with the space groups ofP-3m1,P-3m1 andP3m1, respectively. Using first-principle calculations, the physical properties, including structural, mechanical, electronic and optical properties of C and Si inhP24,hP30 andhP36 phases were systematically studied. All these newly discovered carbon and silicon allotropes were proven to be thermodynamically and mechanically stable. The wide indirect bandgap value in range of 3.89-4.03 eV suggests that C inhP24,hP30 andhP36 phases have the potential to be applied in high frequency and high power electronic devices. The direct bandgap value in range of 0.60-1.16 eV, the smaller electron and hole effective mass than diamond-Si, and the significantly better photon absorption characteristics than diamond-Si suggest thathP24-Si,hP30-Si andhP36-Si are likely to have better performance in photovoltaic applications than diamond-Si.hP24-Si also has the potential to be applied in infrared detectors.
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Affiliation(s)
- Wei Zhang
- School of Microelectronics, Xidian University, Xi'an 710071, People's Republic of China
| | - Changchun Chai
- School of Microelectronics, Xidian University, Xi'an 710071, People's Republic of China
| | - Qingyang Fan
- College of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, People's Republic of China
| | - Yanxing Song
- School of Microelectronics, Xidian University, Xi'an 710071, People's Republic of China
| | - Yintang Yang
- School of Microelectronics, Xidian University, Xi'an 710071, People's Republic of China
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Song Y, Chai C, Fan Q, Zhang W, Yang Y. Physical properties of Si-Ge alloys in C2/m phase: a comprehensive investigation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2019; 31:255703. [PMID: 30893672 DOI: 10.1088/1361-648x/ab11a2] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
A new phase of C2/m Ge16 is first proposed in this paper. The structures and mechanical, anisotropic, electronic, transport and optical properties of Si-Ge alloys in the C2/m phase are studied using first principles calculations. All Ge16 and Si16-x Ge x alloys in the C2/m phase are proven to have mechanical and dynamic stability. By analyzing the three-dimensional (3D) perspective of the effective mass and Young's modulus, obvious anisotropies of transport and mechanical properties are found. Higher-resolution full band structures are obtained to determine the positions of the valence band maximum (VBM) and conduction band minimum (CBM). All materials have a higher photoelectron absorption than that of diamond Si. A high electronic mobility (16 527 cm2 V-1 s-1) and hole mobility (3033 cm2 V-1 s-1) are found in C2/m Si8Ge8 and Si4Ge12, respectively. Based on the large mobility and photoelectron absorption, the Si-Ge alloys in the C2/m phase are promising materials for electronics and optoelectronics applications.
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Affiliation(s)
- Yanxing Song
- State Key Discipline Laboratory of Wide BandGap Semiconductor Technology, School of Microelectronics, Xidian University, Xi'an, People's Republic of China
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Gaidar GP. Tensoresistance as an information source on mobility anisotropy parameter K = μ⊥/μ‖ in multivalley semiconductors and certain new possibilities of deformation metrology. SURFACE ENGINEERING AND APPLIED ELECTROCHEMISTRY 2015. [DOI: 10.3103/s1068375515020039] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Stanojević Z, Sverdlov V, Baumgartner O, Kosina H. Subband engineering in n-type silicon nanowires using strain and confinement. SOLID-STATE ELECTRONICS 2012; 70:73-80. [PMID: 23564977 PMCID: PMC3608036 DOI: 10.1016/j.sse.2011.11.022] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
We present a model based on k · p theory which is able to capture the subband structure effects present in ultra-thin strained silicon nanowires. For electrons, the effective mass and valley minima are calculated for different crystal orientations, thicknesses, and strains. The actual enhancement of the transport properties depends highly on the crystal orientation of the nanowire axis; for certain orientations strain and confinement can play together to give a significant increase of the electron mobility. We also show that the effects of both strain and confinement on mobility are generally more pronounced in nanowires than in thin films. We show that optimal transport properties can be expected to be achieved through a mix of confinement and strain. Our results are in good agreement with recent experimental findings.
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Affiliation(s)
- Zlatan Stanojević
- Corresponding author. Tel.: +43 1 58801 36016; fax: +43 1 58801 36099.
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Li P, Dery H. Spin-orbit symmetries of conduction electrons in silicon. PHYSICAL REVIEW LETTERS 2011; 107:107203. [PMID: 21981524 DOI: 10.1103/physrevlett.107.107203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/21/2011] [Indexed: 05/31/2023]
Abstract
We derive a spin-dependent Hamiltonian that captures the symmetry of the zone edge states in silicon. We present analytical expressions of the spin-dependent states and of spin relaxation due to electron-phonon interactions in the multivalley conduction band. We find excellent agreement with experimental results. Similar to the usage of the Kane Hamiltonian in direct band-gap semiconductors, the new Hamiltonian can be used to study spin properties of electrons in silicon.
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Affiliation(s)
- Pengke Li
- Department of Electrical and Computer Engineering, University of Rochester, Rochester, New York 14627, USA.
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Barlian AA, Park WT, Mallon JR, Rastegar AJ, Pruitt BL. Review: Semiconductor Piezoresistance for Microsystems. PROCEEDINGS OF THE IEEE. INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS 2009; 97:513-552. [PMID: 20198118 PMCID: PMC2829857 DOI: 10.1109/jproc.2009.2013612] [Citation(s) in RCA: 188] [Impact Index Per Article: 12.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/21/2023]
Abstract
Piezoresistive sensors are among the earliest micromachined silicon devices. The need for smaller, less expensive, higher performance sensors helped drive early micromachining technology, a precursor to microsystems or microelectromechanical systems (MEMS). The effect of stress on doped silicon and germanium has been known since the work of Smith at Bell Laboratories in 1954. Since then, researchers have extensively reported on microscale, piezoresistive strain gauges, pressure sensors, accelerometers, and cantilever force/displacement sensors, including many commercially successful devices. In this paper, we review the history of piezoresistance, its physics and related fabrication techniques. We also discuss electrical noise in piezoresistors, device examples and design considerations, and alternative materials. This paper provides a comprehensive overview of integrated piezoresistor technology with an introduction to the physics of piezoresistivity, process and material selection and design guidance useful to researchers and device engineers.
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Gagliani G, Reggiani L. Nonparabolicity and intrinsic carrier concentration in Si and Ge. ACTA ACUST UNITED AC 2008. [DOI: 10.1007/bf02725697] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Fletcher K, Pitt GD. Intervalley scattering in n type Ge from a Hall effect experiment to high pressures. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/4/13/032] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Eaves L, Hoult RA, Stradling RA, Tidey RJ, Portal JC, Askenazy S. Fourier analysis of magnetophonon and two-dimensional Shubnikov-de Haas magnetoresistance structure. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/8/7/019] [Citation(s) in RCA: 68] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Wintgen D, Marxer H, Briggs JS. Efficient quantisation scheme for the anisotropic Kepler problem. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/20/15/006] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Pseudopotential theory of nanometer silicon quantum dots. SEMICONDUCTOR NANOCLUSTERS - PHYSICAL, CHEMICAL, AND CATALYTIC ASPECTS 1997. [DOI: 10.1016/s0167-2991(97)81103-2] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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Wang LW, Zunger A. Local-density-derived semiempirical pseudopotentials. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:17398-17416. [PMID: 9978766 DOI: 10.1103/physrevb.51.17398] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hebbache M. Elastic phase transition in germanium and silicon. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:6522-6527. [PMID: 10009369 DOI: 10.1103/physrevb.49.6522] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Rieger MM, Vogl P. Electronic-band parameters in strained Si1-xGex alloys on Si1-yGey substrates. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:14276-14287. [PMID: 10007844 DOI: 10.1103/physrevb.48.14276] [Citation(s) in RCA: 181] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tserbak C, Polatoglou HM, Theodorou G. Unified approach to the electronic structure of strained Si/Ge superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:7104-7124. [PMID: 10004706 DOI: 10.1103/physrevb.47.7104] [Citation(s) in RCA: 60] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Labrie D, Karasyuk VA, Nissen MK, Pokrovskii YE, Thewalt MLW. Observation of autodissociating excited states of excitonic molecules. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:1628-1631. [PMID: 10006183 DOI: 10.1103/physrevb.47.1628] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ma QM, Wang KL, Schulman JN. Band structure and symmetry analysis of coherently grown Si1-xGex alloys on oriented substrates. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:1936-1953. [PMID: 10006230 DOI: 10.1103/physrevb.47.1936] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ge W, Schmidt WD, Sturge MD, Pfeiffer LN, West KW. Conduction-band minimum of (GaAs)1/(AlAs)1 superlattices: Relationship to X minimum of AlAs. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:3432-3435. [PMID: 9999961 DOI: 10.1103/physrevb.44.3432] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kanda Y, Suzuki K. Origin of the shear piezoresistance coefficient pi 44 of n-type silicon. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:6754-6756. [PMID: 9998122 DOI: 10.1103/physrevb.43.6754] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gilles D, Schröter W, Bergholz W. Impact of the electronic structure on the solubility and diffusion of 3d transition elements in silicon. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:5770-5782. [PMID: 9994461 DOI: 10.1103/physrevb.41.5770] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Labrie D, Thewalt ML, Booth IJ, Kirczenow G. Detailed ground- and excited-state spectroscopy of indirect free excitons. PHYSICAL REVIEW LETTERS 1988; 61:1882-1884. [PMID: 10038922 DOI: 10.1103/physrevlett.61.1882] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Meyer JR, Bartoli FJ. Ionized-impurity scattering in the strong-screening limit. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:5989-6000. [PMID: 9942280 DOI: 10.1103/physrevb.36.5989] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Hall DG. Conduction band of Si-GexSi1-x superlattices using the envelope-function approximation. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:1380-1387. [PMID: 9941545 DOI: 10.1103/physrevb.35.1380] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Costato M, Reggiani L. On the effect of pressure on the band extrema of covalent semiconductors. ACTA ACUST UNITED AC 1970. [DOI: 10.1007/bf02755164] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Costato M, Reggiani L. On the saturated drift velocity of electrons in Si from 77 °K to 500 °K. ACTA ACUST UNITED AC 1970. [DOI: 10.1007/bf02755011] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Faulkner RA. Higher Donor Excited States for Prolate-Spheroid Conduction Bands: A Reevaluation of Silicon and Germanium. ACTA ACUST UNITED AC 1969. [DOI: 10.1103/physrev.184.713] [Citation(s) in RCA: 558] [Impact Index Per Article: 10.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Kornreich P, Callen H, Gundjian A. "Current Striction"—A Mechanism of Electrostriction in Many-Valley Semiconductors. ACTA ACUST UNITED AC 1967. [DOI: 10.1103/physrev.161.815] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Feldman A. High-Stress Optical Birefringence in Pure and Degeneraten-Type Germanium. ACTA ACUST UNITED AC 1966. [DOI: 10.1103/physrev.150.748] [Citation(s) in RCA: 38] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Cresswell MW, McKelvey JP. Minority-Carrier Mobility inp-Type Germanium Under High Uniaxial Stress. ACTA ACUST UNITED AC 1966. [DOI: 10.1103/physrev.144.605] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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