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Absence of Debye screening in the quantum Coulomb system

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Abstract

We present an approximation to the quantum Coulomb plasma at equilibrium which captures the power-law violations of Debye screening which have been reported in recent papers. The objectives are (1) to produce a simpler model which we will study in forthcoming papers, and (2) to develop a strategy by which the absence of screening can be proven for the low-density quantum Coulomb plasma itself.

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References

  1. A. Alastuey and Ph. A. Martin, Absence of exponential clustering for the static quantum correlations and the time-displaced correlations in charged fluids,Europhys. Lett. 6:385–390 (1988).

    Google Scholar 

  2. A. Alastuey and Ph. A. Martin, Absence of exponential clustering in quantum Coulomb fluids,Phys. Rev. A 40:6485–6520 (1989).

    Article  Google Scholar 

  3. D. C. Brydges and E. Seiler, Absence of screening in certain lattice gauge and plasma models,J. Stat. Phys. 42:405–424 (1986).

    Article  Google Scholar 

  4. D. C. Brydges and P. Federbush, Debye screening,Commun. Math. Phys. 73:197–246 (1980).

    Article  Google Scholar 

  5. D. C. Brydges and P. Federbush, Debye screening in classical Coulomb systems, InRigorous Atomic and Molecular Physics, G. Velo and A. S. Wightman, eds. (Plenum Press, New York), pp. 371–439.

  6. D. C. Brydges and G. Keller, Debye screening in quantum Coulomb systems, in preparation.

  7. J. Fröhlich and Y. M. Park, Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems,Commun. Math. Phys. 59:235–266 (1978).

    Article  Google Scholar 

  8. J. Ginibre, Some applications of functional integration in statistical mechanics, InStatistical Mechanics and Quantum Field Theory, C. DeWitt and R. Stora, eds. (Gordon and Breach, New York, 1971).

    Google Scholar 

  9. J. Imbrie, Debye screening for jellium and other Coulomb systems,Commun. Math. Phys. 87:515–565 (1983).

    Article  Google Scholar 

  10. J. Imbrie, Iterated Mayer expansions and their application to Coulomb systems, InScaling and Self Similarity in Physics. Renormalization in Statistical Mechanics and Dynamics, J. Fröhlich, ed. (Birkhäuser, Boston, 1983).

    Google Scholar 

  11. A. C. Maggs and N. W. Ashcroft, Electronic fluctuation and cohesion in metals,Phys. Rev. Lett. 59:113–116 (1987).

    Article  Google Scholar 

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Brydges, D.C., Keller, G. Absence of Debye screening in the quantum Coulomb system. J Stat Phys 76, 285–297 (1994). https://doi.org/10.1007/BF02188662

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