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New Anomaly at Low Temperature for Heat Capacity

DOI: 10.4236/oalib.1106477, PP. 1-14

Subject Areas: Applied Statistical Mathematics

Keywords: Two-Dimensional Electron Gas, Landeau Levels, Specific Heat Capacity, Anomaly, Critical Temperature, Chemical Potential, Broadening Parameter

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Abstract

In this paper, we present a theoretical investigation as a function of temperature of a critical anomaly find in InAlAs hetero-structure of two-dimensional electron gas. This study has shown the presence of a large and continuous anomaly. This anomaly is explained through a theory based on the general assumption. The present theoretical research is based essentially on the characteristic of specific heat capacity extending over a large temperature, but we underline a good agreement with results of the relation with chemical potential and Broadening parameter as a function of temperature. It is found that the specific heat capacity observed by a peak at low temperature, at a critical temperature, is directly linked to Schottky anomaly and unveiling the existence of phase transition in InAlAs. Our results are completed by the study of the dependence of the heat capacity on the spin as a function of temperature. This study confirms the same behavior with result without spin.

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Bouzgarrou, S. (2020). New Anomaly at Low Temperature for Heat Capacity. Open Access Library Journal, 7, e6477. doi: http://dx.doi.org/10.4236/oalib.1106477.

References

[1]  Davies, J.H. (1998) The Physics of Low Dimensional Semiconductors: An Introduction. Cambridge University Press, Cambridge.
[2]  Nizhankovskii, V.I. (2011) Thermodynamics of Two Dimensional Electron Gas in a Magnetic Field. Physics Research International, 2011, Article ID: 742158. https://doi.org/10.1155/2011/742158
[3]  Sarma, S.D. and Pinczuk, A. (1997) Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-Dimensional Semiconductor Structures. Wiley, New York.
[4]  Girvin S.M. (1999) The Quantum Hall Effect: Novel Excitations and Broken Symmetries. In: Comtet, A., Jolic?ur, T., Ouvry, S. and David, F., Eds., Aspects Topologiques de la Physique en Basse Dimension. Topological Aspects of Low Dimensional Systems. Les Houches—Ecole d’Ete de Physique Theorique, Vol. 69, Springer, Berlin, 1087.
[5]  Wilde, M.A., Schwarz M.P., Heyn, C., Heitmann, D., Grundler, D., Reuter, D. and Wieck, A.D. (2006) Experimental Evidence of the Ideal de Haas-Van Alphen Effect in a Two-Dimensional System. Physical Review B, 73, Article ID: 125325. https://doi.org/10.1103/PhysRevB.73.125325
[6]  Zhu, M., Usher, A., Matthews, A.J., Potts, A., Elliott, M., Herrenden-Harker, W.G., Ritchie, D.A. and Simmons, M.Y. (2003) Magnetization Measurements of High- Mobility Two-Dimensional Electron Gases. Physical Review B, 67, Article ID: 155329. https://doi.org/10.1103/PhysRevB.67.155329
[7]  Wang, Z.G., Zhang, W. and Zhang, P. (2009) Magnetization in Two-Dimensional Electron Gas in a Perpendicular Magnetic Field: The Roles of Edge States and Spin-Orbit Coupling. Physical Review B, 79, Article ID: 235327. https://doi.org/10.1103/PhysRevB.79.235327
[8]  Dabiran, A.M., Zeller, R.J., Fang, F.F., Wright, S.L. and Stiles P.J. (1998) Electrochemical Potential Oscillations of The Two-Dimensional Electron Gas in GaAs/AlGaAs Heterostructures in High Magnetic Fields. Surface Science, 196, 712-718. https://doi.org/10.1016/0039-6028(88)90767-4
[9]  Nizhankovskii, V.I., Mokerov, V.G., Medvedev, B.K. and Shaldin, Y.V. (1986) An Investigation of the Effect of a Magnetic Field on the Chemical Potential of Electrons in Bismuth and in a GaAs-AlxGa1?xAs Heterojunction. Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, 90, 1326-1335.
[10]  Firoz Islam, S.K., Naveen K. Sing and Ghosh, T.K. (2011) Thermodynamic Properties of a Magnetically Modulated Graphene Monolayer. Journal of Physics: Condensed Matter, 23, Article ID: 445502.
[11]  ?zdemir, B., Yarar, Z. and ?zdermir, M. (2004) Variation of Chemical Potential Oscillations of a 2DEG in a Quantum Well under a Magnetic Field for Multiple Sub-Band Occupation as Function of Temperature and Level-Broadening. Turkish Journal of Physics, 28, 1-15.
[12]  Tchoffo, M., Fouokeng, G.C., Fai, L.C. and Ateuafack, M.E. (2013) Thermodynamic Properties and Decoherence of a Central Electron Spin of Atom Coupled to an Anti-Ferromagnetic Spin Bath. Journal of Quantum Information Science, 3, 10-15. https://doi.org/10.4236/jqis.2013.31003
[13]  Thuy Nguyen, N.T. (2010) Quantum Dots Doped with Few Magnetic Impurities Kwantumstippen Gedopeerd Met Enkele Magnetische Onzuiverheden. University Antwerpen, Antwerpen.
[14]  Al-Omari, A. (2011) Thermal Properties of Ferrimagnetic Systems. World Journal of Condensed Matter Physics, 1, 121-129. https://doi.org/10.4236/wjcmp.2011.14018
[15]  Sampathkumaran, E.V., Hiroi, Z., Rayaprol, S. and Uwatoko, Y. (2004) Heat-Capacity Anomalies in the Presence of High Magnetic Fields in the Spin-Chain Compound, Ca3Co2O6. Journal of Magnetism and Magnetic Material, 284, L7-L11. https://doi.org/10.1016/j.jmmm.2004.07.028
[16]  Mahdavifar, S. and Akbari, A. (2008) Heat Capacity of Schottky Type in Low-D- imensional Spin Systems. Journal of Physics: Condensed Matter, 20, Article ID: 215213. https://doi.org/10.1088/0953-8984/20/21/215213
[17]  Eisenstein, J.P., Stormer, H.L., Narayanamurti, V., Cho, A.Y., Gossard, A.C. and Tu, C.W. (1985) Density of States and de Haas—Van Alphen Effect in Two-Dimensional Electron Systems. Physical Review Letters, 55, 875. https://doi.org/10.1103/PhysRevLett.55.875
[18]  Ando, T., Fowler, A.B. and Stern, F. (1982) Electronic Properties of Two-Dimensional Systems. Reviews of Modern Physics, 54, 437. https://doi.org/10.1103/RevModPhys.54.437
[19]  Ramos, A.C.A., Alves T.F.A., Farias, G.A., Costa Filho, R.N. and Almeida, N.S. (2009) 2DEG in the Presence of Tilted Magnetic Field at Finite Temperature. Physica E: Low-Dimensional Systems and Nanostructures, 41, 1267-1271. https://doi.org/10.1016/j.physe.2009.02.011
[20]  Xie, X.C., Li, Q.P. and Das Sarma, S. (1990) Density of States and Thermodynamic Properties of a Two-Dimensional Electron Gas in a Strong External Magnetic Field. Physical Review B, 42, 7132. https://doi.org/10.1103/PhysRevB.42.7132
[21]  Meinel, I., Grundler, D., Heitmann, D., Manolescu, A., Gudmundsson, V., Wegscheider, W. and Bichler, M. (2001) Enhanced Magnetization at Integer Quantum Hall States. Physical Review B, 64, Article ID: 121306. https://doi.org/10.1103/PhysRevB.64.121306
[22]  Smith, T.P., Goldberg, B.B., Stiles, P.J. and Heiblum, M. (1985) Direct Measurement of the Density of States of a Two-Dimensional Electron Gas. Physical Review B, 32, 2696. https://doi.org/10.1103/PhysRevB.32.2696
[23]  Das Sarma, S. and Xie, X.C. (1988) Strong-Field Density of States in Weakly Disordered Two-Dimensional Electron Systems. Physical Review Letters, 61, 738-741. https://doi.org/10.1103/PhysRevLett.61.738
[24]  Gopal, E.S.R. (1966) Specific Heats at Low Temperatures. In: Mendelssohn, K. and Timmerhaus, K.D., Eds., Heywood Books, Plenum Press, London, 63.
[25]  Melinte, S., Grivei, E., Beuken, J.M., Mariage, G., Malcorps, L., Gustin, C., Bayot, V. and Shayegan, M. (2000) The Effect of Zeeman Energy on Heat Capacity of GaAs/AlGaAs Heterostructures near ν = 1. Physica E: Low-Dimensional Systems and Nanostructures, 6, 52-55. https://doi.org/10.1016/S1386-9477(99)00054-5
[26]  Bayot, V., Grivei, E., Melinte, S., Santos, M.B. and Shayegan, M. (2008) Giant Low Temperaure Heat capacity of GaAs Quantum Wells near Landau Level Filline. Condensed Matter, 1, Article ID: 9603024.
[27]  Baker, P.J., Giblin, S.R., Pratt, F.L., Liu, R.H., Wu, G., Chen, X.H., Pitcher, M.J., Parker, D.R., Clarke, S.J. and Blundell, S.J. (2008) Heat Capacity Measurements on FeAs Based Compounds: A Thermodynamic Probe of Electronic and Magnetic States. Condensed Matter, 1, 2494.
[28]  He, C., Zheng, H., Mitchell, J.F., Foo, M.L., Cava, R.J. and Leighton, C. (2009) Low Temperature Schottky Anomalies in the Specific Heat of LaCoO3: Defect-Stabilized Finite Spin States. Applied Physics Letters, 94, Article ID: 102514. https://doi.org/10.1063/1.3098374
[29]  Xie, X.C., Li, Q.P. and Sarma, S.D. (1990) Density of States and Thermodynamic Properties of a Two-Dimensional Electron Gas in a Strong External Magnetic Field. Physical Review B, 42, 7132-7147. https://doi.org/10.1103/PhysRevB.42.7132
[30]  Viallogonzalo, C. and Gammag, R. (2010) The Intrinsic Features of the Specific Heat at Half Filled Landau Levels of Two Dimensional Electron Systems. Journal Low Temp Physics, 2, 3802.
[31]  Kuzmenko, N.K. and Mikhajlov, V.M. (2008) The Canonical Heat Capacity of Normal Mesoscopic Fermion Systems: The Temperature Evolution and Particle Number Oscillations. Condensed Matter Statistical Mechanics, 1, 2078.
[32]  Gornik, E., Lassnig, R., Strasser, G., St?rner, H.L., Gossard, A.C. and Wiegmann, W. (1985) Specific Heat of Two-Dimensional Electrons in GaAs-GaAlAs Multilayers. Physical Review Letters, 54, 1820-1823. https://doi.org/10.1103/PhysRevLett.54.1820
[33]  Cerez, A., Henry, M. and Varret, F. (1980) Isotropy of the Lamb Mossbauer Factor in Ferrous Fluosillicate Single Crystals. Journal de Physique Letteres, 41, L157-L159.
[34]  Gai, H.F., Wang, J. and Tian, Q. (2007) Modified Debye Model Parameters of Metals Applicable for Broadband Calculations. Applied Optics, 46, 2229-2233. https://doi.org/10.1364/AO.46.002229
[35]  Moroyoqui-Estrella, G., Rodriguez-Mijangos, R., Perez-Salas, R. and Rodriguez, A. (2013) Thermal Properties of High Order Crystalline Dielectric Mixtures. Revista Mexicana de Fisica, 59, 16-19.
[36]  Sahling, S., Lorenzo, J.E., Remenyi, G. and Katkov, V.L. (2019) Low-Temperature Heat Capacity of Sr_2Ca_{12}Cu_{24}O_{41}. Journal of Low Temperature Physics, 194, 142-152.
[37]  Bozdogana, A.E. and Bozdogan, I.S. (2019) New Equations for Lattice and Electronic Heat Capacities, Enthalpies, and Entropies of Solids: Application to Diamond. Acta Physica Polonica A, 135, 674-677. https://doi.org/10.12693/APhysPolA.135.674
[38]  Han, Y., Gu, P.F., Liu, F.J., Liu, W., Wang, L., Zhang, X. and Lin, Y.C. (2019) Analysis between Subgap Density of State and NBIS of Top Gate a IGZO TFTs. BOE Technology, 9, 50-76.
[39]  Akinlami1, J.O., Omeike M.O. and Akindiilete, A.J. (2019) Electronic, Structural and Paramagnetic Properties of Magnesium Telluride. SPQEO, 22, 5-10.
[40]  Mostefai, A., Berrah, S. and Abid, H. (2018) Electronics Properties of Monoclinic HfO2. Journal of Nano- and Electronic Physics, 10, Article ID: 06026. https://doi.org/10.21272/jnep.10(6).06026
[41]  Ando, T. and Uemura, Y.J. (1974) Theory of Quantum Transport in a Two-Dimensional Electron System under Magnetic Fields. I. Characteristics of Level Broadening and Transport under Strong Fields. Journal of the Physical Society of Japan, 36, 959-957. https://doi.org/10.1143/JPSJ.36.959
[42]  Wang, S.H., Wan, C.P., Heng, Y.X. and Ao, J.-P. (2019) Effect of Grinding-Induced Stress on Interface State Density of SiC/SiO2. Materials Science Forum, 954, 121-125. https://doi.org/10.4028/www.scientific.net/MSF.954.121
[43]  Ahmadabadi, H.N. and Ghafouri-Khosrowshahi, A. (2018) Effect of Thermal Dependency of Diameter on Density of States for Zigzag Carbon Nano-Tubes. Journal of Nano Research, 55, 1-10. https://doi.org/10.4028/www.scientific.net/JNanoR.55.1
[44]  Xu, H.Y., Wan, C.P. and Ao, J.-P. (2019) The Correlation between the Reduction of Interface State Density at the SiO2/SiC Interface and the NO Post-Oxide-Annealing Conditions. Materials Science Forum, 954, 104-108. https://doi.org/10.4028/www.scientific.net/MSF.954.104
[45]  Swain, R., Sahu, S. and Rout, G.C. (2018) Tight-Binding Theoretical Study of the Tunneling Conductance in Ferromagnetically Ordered Graphene-on-Substrate. Journal of Superconductivity and Novel Magnetism, 31, 2519-2528. https://doi.org/10.1007/s10948-017-4502-x
[46]  Xie, X.C., Li, Q.P. and Das Sarma, S. (1990) Density of States and Thermodynamic Properties of a Two-Dimensional Electron Gas in a Strong External Magnetic Field. Physics Review B, 142, 7132-7147. https://doi.org/10.1103/PhysRevB.42.7132
[47]  ?zdemir, B., Yarar, Z. and ?zdemir, M. (2004) Variation of Chemical Potential Oscillations of a 2DEG in a Quantum Well Under a Magnetic Field for Multiple Sub-Band Occupation as Function of Temperature and Level Boardening. Turkish Journal of Physics, 28, 1-15.
[48]  Firiz Islam, S.K. Singh, N.K. and Ghosh, T.K. (2011) Thermodynamic Properties of Magnetically Modulated Graphene. Condensed Matter Mesoscale and Nanoscale Physics, 2, 3060.
[49]  Zawadzki, W. and Lassning, R. (1984) Specific Heat and Magneto-Thermal Oscillations of Two-Dimensional Electron Gas in a Magnetic Field. Solid State Communications, 50, 537-539. https://doi.org/10.1016/0038-1098(84)90324-7
[50]  Zawadzki, W. and Lassning, R. (1984) Magnetization, Specific Heat, Magneto-Thermal Effect and Thermoelectric Power of Two-Dimensional Electron Gas in a Quantizing Magnetic Field. Surface Science, 142, 225-235. https://doi.org/10.1016/0039-6028(84)90312-1
[51]  Zhao, Y. and Franco, F. (2014) Ring Polymers with Topological Constraints. Condensed Matter, 1402.
[52]  Bouzgarrou, S., Ben Salem, M.M., Kalboussi, A. and Souifi, A. (2013) Experimental and Theoretical Study of Parasitic Effects in InAlAs/InGaAs/InP HEMT’s. American Journal of Physics and Application, 1, 18-24. https://doi.org/10.11648/j.ajpa.20130101.14
[53]  Bianconi, A., Agrestini, S., Campi, G., Filippi, M. and Saini, N.L. (2005) Common Features in High Tc Cuprates and Diborides. Current Applied Physics, 5, 254-258. https://doi.org/10.1016/j.cap.2004.02.010
[54]  Grivei, E., Beuken, J.M., Mariage, G., Bayot, V. and Shayegan, M. (1998) Heat Capacity of a 2DEG. Physica B: Condensed Matter, 256-258, 90-96. https://doi.org/10.1016/S0921-4526(98)00568-7
[55]  Park, J.H. Lee, S., Lee, H.S., Kim, S.K., Park, K.-S. and Yoon, S.-Y. (2018) Correlation between Spin Density and Vth Instability of IGZO Thin-Film Transistors. Current Applied Physics, 18, 1447-1450. https://doi.org/10.1016/j.cap.2018.08.016

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