Abstract
We have recently presented a derivation of the stress field for a non-relativistic interacting quantum system via a Riemannian differential geometric method. The advantage of this approach over other formulations is that it removes several ambiguities associated with defining the stress field. In our previous work, we considered the T = 0 case only. Here we extend our formalism by deriving the stress field for quantum systems described by finite temperature density functional theory (DPT).
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References
M.J. Godfrey: Phys. Rev. B. 37, 10176 (1988).
A. Filippetti and V. Fiorentini: Phys. Rev. B. 61, 8433 (2000).
N. Chetty and R.M. Martin: Phys. Rev. B. 45, 6074 (1992).
O.H. Nielsen and R.M. Martin: Phys. Rev. B. 32, 3780 (1985).
C.L. Rogers and A.M. Rappe: Phys. Rev. Lett, (submitted 2000) condmat/0006274.
L.D. Landau and E.M. Lifshitz: The Classical Theory of Fields, 4th edn. (Pergamon, Oxford, 1975), pp. 270–273.
L. Mistura: J. Chem. Phys. 83, 3633 (1985); Inter. J. Thermophys. 8, 397 (1987).
E. Kröner: Phys. Stat. Sol. B. 144, 39 (1987).
P. Hohenberg and W. Kohn: Phys. Rev. 136, B864 (1964).
W. Kohn and L.J. Sham: Phys. Rev. 140, A1133 (1965).
N.D. Mermin: Phys. Rev. 137, A1441 (1965).
M.J. Gillan: J. Phys. Condens. Matter. 1, 689, (1989).
A. Saa: Class. Quantum. Grav. 14, 385, (1997).
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Rogers, C.L., Rappe, A.M. (2002). Geometric Theory of Stress Fields for Quantum Systems at Finite Temperature. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_28
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DOI: https://doi.org/10.1007/978-3-642-59406-9_28
Publisher Name: Springer, Berlin, Heidelberg
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