Laboratoire de Physique Théorique de la Matière Condensée

Bernard BERNU

 

Des exemples d'échanges dans le cristal de Wigner (cristal d'électron) à 2 dimensions

Some examples of ring exchange in the 2d Wigner crystal (a crystal of only electrons)
échanges à 2, 3 et 4 corps échanges à 5 et 6 corps D'autres échanges à 6 corps
2, 3 and 4 body exchanges 5 and 6 body exchanges Others 6 body exchanges
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    1. Bernu, B., Vieillefosse P., Hansen, J.P., Phys. Lett. A (Netherlands), 63A p301-3, 1977. "Transport coefficients of the classical One-Component Plasma"
    2. Bernu, B., Vieillefosse P., Phys. Rev. A18, p2345-55, 1978. "Transport coefficients of the classical One-Component Plasma"
    3. Bernu, B., J. Stat. Phys. 21 p. 447-6, 1979. "Single-particle motion in the strongly coupled One-Component Plasma"
    4. Bernu, B., J. Phys. Lett. (France) 42 p. L253-5, 1981. "One-Component Plasma in a strong magnetic field"
    5. Bernu, B., Hansen J.P., Phys. Rev. Lett. 48 p.1375-8 1982. "Thermal conductivity of a strongly coupled hydrogen plasma".
    6. Bernu, B. Physica A (Netherlands) 122A p.129-72 1983. "Generalized transport coefficients of an N-component fluid. Application to the hydrogen plasma".
    7. Bernu, B., Hansen, J.P., Mazighi, R., Phys. Lett. A (Netherlands) 100A p.28-30, 1984. "Influence of effective potentials on the pair correlations in dense, semi-classical hydrogen plasmas"
    8. Bernu, B., Hiwatari, Y., Hansen, J.P., J. Phys. C (GB) 18 p. L371-6 ,1985. "A molecular dynamics study of the glass transition in binary mixtures of soft spheres"
    9. Bernu, B., Hiwatari, Y., Hansen, J.P., J. Phys. Colloq. (France) 46 p. 323-7, 1985. "Molecular dynamics simulation of the glass transition in binary mixtures of soft spheres"
    10. Bernu, B., Hansen, J.P., Mazighi, R., Europhys. Lett. (Switzerland) 1 p. 267-73, 1986. "Effective interionic potentials for the calculation of low-frequency electric-microfield distributions in dense plasmas".
    11. Zehnlé, V., Bernu, B., Wallenborn, J., Phys. Rev. A 33 p. 2043-6, 1986. "Kinetic theory of the thermal conductivity of a strongly coupled semi-classical hydrogen plasma".
    12. Wallenborn, J., Zehnlé, V., Bernu, B., Europhys. Lett. (Switzerland) 3 p. 661-7 , 1987. "Semiclassical vs. quantum analysis of transport properties of a fully ionized plasma".
    13. Pierléoni, C., Ciccotti, G., Bernu, B., Europhys. Lett. (Switzerland) 4 p. 1115-20 1987. "Thermal conductivity of the classical one-component plasma by nonequilibrium molecular dynamics".
    14. Bernu, B., Hansen, J.P., Hiwatari, Y., Pastore, G., Phys. Rev. A 36 p. 4891-903 1987. "Soft-sphere model for the glass transition in binary alloys. Pair structure and self-diffusion".
    15. Hiwatari, Y., Bernu, B., Hansen, J.P., Condens. Matter Theor. 2 p. 19-26 1987, edited by P. Vashishta, Rajiv K. Kalia, and R.F. Bishop. "Study of dynamical properties of dense soft-sphere fluids and glasses by molecular dyna\-mics".
    16. Hiwatari, Y., Bernu, B., Hansen, J.P., Conference on condensed matter theories, Argone 86, Volume II edited by P. Vashishta, Rajiv K. Kalia, and R.F. Bishop (Plenum, 1987). "Study of dynamical properties of dense soft sphere fluids and glasses by molecular dyna\-mics".
    17. Mazighi, R., Hansen, J.P., Bernu, B., in Strongly Coupled Plasma Physics edited by Forrest J. Rogers and Hugh E. Dewitt (Plenum, 1987). "Infuence of effective interionic potentiels on the low frequency electric microfield distributions in dense semi-classical hydrogen plasmas".
    18. Wallenborn, J., Bernu, B., Zehnlé, V., in Strongly Coupled Plasma Physics edited by Forrest J. Rogers and Hugh E. Dewitt (Plenum, 1987). "Transport properties of a fully ionized plasma: semi-classical or quantum approach?"
    19. Miyagawa, H., Hiwatari, Y., Bernu, B., Hansen, J.P., J. Chem. Phys. 88 p. 3879-86 1988. "Molecular dynamics study on binary soft-sphere mixtures. Jump motions of atoms in the glassy state".
    20. Zehnlé, V., Bernu, B., Wallenborn, J., J. Phys. France 49 p. 1147-59 1988. "On the transport properties of a dense fully-ionized plasma. I The semi-classical approach".
    21. Bernu, B., Wallenborn, J., Zehnlé, V., J. Phys. France 49 p. 1161-71 1988. "On the transport properties of a dense fully-ionized plasma. II Quantum analysis".
    22. Pastore, G., Bernu, B., Hansen, J.P., Hiwatari, Y., Phys. Rev. A 38 p. 454-62 1988. "A soft-sphere model for the glass transition in binary alloys - II Relaxation of the incoherent density-density correlation functions".
    23. Ceperley, D.M., Bernu, B., J. Chem. Phys. 89 p. 6316-6328 1988. "The calculation of excited state properties with quantum Monte Carlo".
    24. Pastore, G., Bernu, B., Hansen, J.P., Miyagawa, H., Hiwatari, Y., Dynamics of Disordered Materials , Proceedings of the ILL Workshop, p. 86-90 (Springer-Verlag, Berlin, Germany, 1988). "Relaxation of the incoherent density-density correlation functions of binary soft-sphere glasses and jump motion of atoms near the glass transition".
    25. Bernu, B., Mazighi, R., J. Math. Phys. 23 p. 5745-5754 1990. "One-dimensional bounce of inelastically colliding marbles on a wall".
    26. Bernu, B., Ceperley, D. M., Lester, W. A., Jr, J. Chem. Phys. 93 p. 552-61 1990. "The calculation of excited states with quantum Monte Carlo. II. Vibrational excited states".
      Erratum J. Chem. Phys.95 p. 7782 1991.
    27. Bernu, B., Wallenborn, J., Europhys. Lett. (Switzerland) 14 p.203-9 1991."A semi-classical model for the ionization equilibrium of a very dense hydrogen plasma".
    28. Wallenborn, J., Bernu, B., Physics of non Ideal Plasmas, selected papers of the international workshop PNP-VI, Gosen, Germany (1991), edited by W. Ebeling, A. Forster, R. Radtke 1991. "A model for the ionization equilibrium of a very dense plasma".
    29. Bernu, B., Ceperley, D.M., Lhuillier, C., Pierre, L., in Recent Progress in Many Body Theories (MB-VII), edited by C.E. Campbell and E. Krotscheck, p. 459-468 1992. "Incommensurate solid monolayer of 3He adsorbed on grafoil: Generalized Heisenberg model with exchange frequencies evaluated by path integral techniques".
    30. Bernu, B., Lhuillier, C., Pierre, L., Phys. Rev. Lett. 69 p. 2590-2593 1992. "Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices".
    31. Bernu, B., Ceperley, D.M., Lhuillier, C., J. Low Temp. Phys. 89 p. 589-592 1992. "Specific heat and Curie temperature evaluation on triangular lattice: exchange frequencies for \het~ adsorbed on grafoil, evaluated by path integral techniques".
    32. Bernu, B., Lhuillier, C., Pierre, L., J. Low Temp. Phys. 89 p. 523-526 1992. "Broken symmetries and thermodynamic limit in quantum antiferromagnets".
    33. Bernu B., Museux J.M., Wallenborn J., International Conference of the Physics of Strongly Coupled Plasmas}, Aug 17-21 1992, Rochester. in Stongly Coupled Plasma Physics, edited by H. Van Horn and S. Ichimaru, University of Rochester Press, (1993). "A semi-classical model for ionization of dense hydrogen plasmas"
    34. Museux J.M., Bernu B., Wallenborn J., International Conference of the Physics of Strongly Coupled Plasmas}, Aug 17-21 1992, Rochester. in Stongly Coupled Plasma Physics, edited by H. Van Horn and S. Ichimaru, University of Rochester Press, (1993). " Monte Carlo simulations of a dense partially-ionized hydrogen plasma : a semi classical approach of the density effect on the ionization equilibrium".
    35. Belmir M., Bernu B., Museux J.M., Wallenborn J., contrib. Plasma Phys. 33, 379 (1993). "Density effects on the ionization equilibrium and the transport properties of a dense hydrogen plasma"
    36. Bernu B., Lecheminant Ph., Lhuillier C., Pierre L., Phys. Specta, 49, 192 (1993). "Néel ordre versus spin liquid in quantum Heisenberg antiferromagnets on triangular and kagome lattices"
    37. Museux J.M., Bernu B. , Wallenborn J., Europhys. Lett. 25, 93 (1994). "Density effects on ionization equilibrium of dense hydrogen plasmas by classical Monte Carlo simulations"
    38. Pierléoni C. , Ceperley D.M. , Bernu B. , Magro W.R., Phys. Rev. Lett., 73, 2145 (1994). "Equation of state of the hyrogen plasma by path integral Monte Carlo simulation"
    39. Bernu B. , Lecheminant Ph. , Lhuillier C. , Pierre L., Phys. Rev. B, 50, 10048 (1994). cond-mat: 9407028 "Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice"
    40. Bernu B. , Delyon F. , Mazighi R., Phys. Rev. E, 50, 4551 (1994). "Steady state of a column of shaken inelastic beads"
    41. Lecheminant Ph. , Bernu B. , Lhuillier C. , Pierre L., Phys. Rev. B, 52, 9162(1995). "Spin stiffnesses of the quantum Heisenberg antiferromagnet on the triangular lattice"
    42. Sindzingre Ph. , Bernu B. , Lecheminant Ph., J. Phys. Cond. Matt.46, vol 7, 8805-8812 (1995). "Variational RVB wave functions for the spin 1/2 J1-J2 Heisenberg antiferromagnet on the triangular lattice"
    43. Lecheminant Ph. , Bernu B. , Lhuillier C. , Pierre L., Phys. Rev. B, 52, 6647 (1995). "J1-J2 Quantum Heisenberg antiferromagnet on the triangular lattice : a group symmetry analysis of order by disorder"
    44. Pierleoni C., W.R. Magro, D. Ceperley and B. Bernu Proc. Int. Conf. of the Phys. of Strongly Coupled Plasmas (Binz, Germany, Sept. 1995) (Kraeft and Schlanges, eds., 1995). "Path integral Monte Carlo simulation of hydrogen plasma".
    45. Belmir M. , Bernu B. , Museux J.M. , Wallenborn J., in proceedings of the International Conference on the Physics of Strongly Coupled Plasma, Binz, Allemagne, World Scientific, 222 (1996). "Electrical conductivity of a partially-ionized dense hydrogen plasma".
    46. Magro W.R. , Ceperley D.M. , Pierléoni C. , Bernu B., Phys. Rev. Lett. 76, 1240 (1996). "Molecular dissociation in hot, dense hydrogen".
    47. P. Lecheminant, B. Bernu, C. Lhuillier, L. Pierre Phys. Rev. B 56, vol. 5, pp. 2521 - 2529 (1997) "Order Versus Disorder in the Quantum Heisenberg Antiferromagnet on the kagome lattice using exact spectra analysis"
    48. C. Lhuillier, B. Bernu and G. Misguich. Recent progress in many-body theories, World Scientific (1998). Editors: D. Neilson and R.F. Bishop. (Proceedings of the 9th International Conference on recent progress in Many Body Theories, Sydney, August 1997). "Geometrically Frustrated Quantum Antiferromagnets and Spin Liquids".
    49. W. Magro, B. Militzer, D. Ceperley, B. Bernu, and C. Pierleoni, in Strongly Coupled Coulomb Systems, ed. by G. J. Kalman, J. M. Rommel and K. Blagoev, Plenum Press, New York NY, (1998). "Restricted Path Integral Monte Carlo Calculations of Hot, Dense Hydrogen"
    50. C. Waldtmann , H.U. Everts , B. Bernu , C. Lhuillier , P. Sindzingre , P. Lecheminant , L. Pierre European physical journal B. , 1998 , vol. 2 , no 4 , pp. 501 - 507 "First excitations of the spin ½ Heisenberg antiferromagnet on the kagome lattice"
    51. G. Misguich, B. Bernu and C. Lhuillier. Journal of Low Temperature Physics vol. 110 1/2 327-332 (1998) "The Multiple-Spin Exchange Phase Diagram on the Triangular Lattice: Schwinger-Boson analysis".
    52. G. Misguich, B. Bernu, C. Lhuillier and C. Waldtmann. Phys. Rev. Lett. 81,vol.5 1098, (1998) "Spin Liquid in the Multiple-Spin Exchange Model on the triangular lattice: 3He on graphite".
    53. G. Misguich, C. Lhuillier, B. Bernu and C. Waldtmann. Phys. Rev. B 60,vol.2 1064-1074 (1999) "Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice"
    54. C. Lhuillier, B. Bernu and G. Misguich. International journal of modern physics. B. [ Int. j. mod. phys. B. ] , 1999 , vol. 13 , no 5-6 , pp. 687 - 695. "Geometrically Frustrated Quantum Antiferromagnets and Spin Liquids".
    55. B. Bernu, D. Ceperley in Quantum Monte Carlo Methods in Physics and Chemistry, Edited by M.P. Nightingale and C. Umrigar, NATO ASI Series, Series C, Mathematical and Physical Sciences, Vol. C-525, (Kluwer Academic Publishers, Boston, 1999), (1999) pp. 161-182. "Calculation of Exchange Frequencies with Path Integral Monte Carlo: solid 3He Adsorbed on Graphite".
    56. P. Sindzingre, G. Misguich, C. Lhuillier, B. Bernu, L. Pierre, C. Waldtmann and H. U. Everts. Phys. Rev. Lett. 84, 2953 (2000) " Magneto-thermodynamics of the spin-1/2 kagome antiferromagnet."
    57. B. Bernu, G. Misguich. cond-mat/0003381, Phys. Rev. B. 63, p.134409 (2001). "Specific heat and high-temperature series of lattice models: interpolation scheme and examples on quantum spin systems in one and two dimensions".
    58. B. Bernu, L. Candido, D. Ceperley Phys. Rev. Lett. 86, 870 (2001"); (cond-mat/0008062). "Exchange frequencies in the 2d Wigner crystal".
    59. Bernu, B., L. Candido, D. M. Ceperley and P. Gianinetti Proceedings of the Manchester 2001 conference on Recent Progress in Many-Body Physic, "Exchange Frequencies in the 2d Wigner crystal"
    60. Bernu, B., L. Candido and D. M. Ceperley in Proceedings of the Rolduc school on Quantum Simulations of Complex Many Body Systems, "Exchange Frequencies in the 2d solids; example of helium 3 adsorbed on graphite and the Wigner crystal" NIC Series Vol. 10, Julich, 2002
    61. Bernu, B. and D. M. Ceperleyin ''Quantum Simulations of Complex Many Body Systems : From Theory to Algorithms'', Lecture Notes on Path Integral Monte Carlo" p.51 NIC Series Vol. 10, Julich, 2002
    62. Bernu, B. and D. M. Ceperley J. of Physics Cond. Mat. 14, 9099 (2002), "Exchange Frequencies in 2d solids"
    63. G. Misguich, B. Bernu, L. Pierre cond-mat/0302583, Phys. Rev. B. 68, 113409 (2003) "Determination of the exchange energies in Li2VOSiO4 from a high-temperature series analysis of the square lattice J1-J2 Heisenberg model"
    64. Bernu, B. and D. M. Ceperley cond-mat/0310309, J. Phys.: Condens. Matter 16 (2004) p701-707, "Multi-spin exchange model: the near melting transition of the two-dimensional Wigner crystal"
    65. Ladir Candido, B. Bernu and D. M. Ceperley cond-mat/0403443, Phys. Rev. B 70, 094413 (2004), "Magnetic ordering of the three-dimensional Wigner crystal"
    66. Markus Holzmann, Bernard Bernu cond-mat/0407244, Journal of Computational Physics, 2005; 206 (1) "Title: Optimized Periodic Coulomb Potential in Two Dimension"
    67. Gregoire Misguich and Bernard Bernu cond-mat/0407277, Phys. Rev. B 71, 014417 (2005) "Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis"
    68. D. M. Ceperley, B. Bernu cond-mat/0409336, Phys. Rev. Lett. 93, 155303 (2004) "Ring exchanges and the supersolid phase of 4He"
    69. B. Bernu, D. M. Ceperley cond-mat/0502486, submitted J. Phys. Chem. Solids, ISSP9 conference proceedings, ed. H. Ishimoto, Elsevier,2005; "Path Integral Calculations of exchange in solid 4He"
    70. M. Holzmann, B. Bernu, and D.M. Ceperley, Phys. Rev. B 74, 104510 (2006"); cond-mat/0605513 "Many-body wavefunctions for normal liquid He3",
    71. B. Bernu, F. Delyon, M. Duneau and M. Holzmann, cond-mat/0804.1025 (2008), "Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions"
    72. F. Delyon, M. Duneau, B. Bernu and M. Holzmann, cond-mat/0807.0770 (2008), "Existence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gas"
    73. M. Holzmann, B. Bernu, V. Olevano, R.M. Martin, and D.M. Ceperley, Phys. Rev. B 79, 041308(R) (2009"); cond-mat/0810.2450. "Renormalization factor and effective mass of the two-dimensional electron gas".
    74. B. Bernu, F. Delyon, M. Duneau, and M. Holzmann, Phys. Rev. B 78, 245110 (2008"); cond-mat/0810.3559. "Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions".
    75. B. Bernu, F. Delyon, M. Duneau, and M. Holzmann,
      Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions,
      Phys. Rev. B 78, 245110 (2008"); cond-mat/0810.3559.
    76. B. Bernu, F. Delyon, and M. Holzmann,
      Quasi-two-dimensional electron gas at metallic densities,
      Phys. Rev. B 82, 245116 (2010"); cond-mat/1009.3789.
    77. M. Holzmann, B. Bernu, C. Pierleoni, J. McMinis, D. M. Ceperley, V. Olevano, and L. Delle Site,The momentum distribution of the homogeneous electron gas, Phys. Rev. Lett. 107, 110402 (2011"); cond-mat/1105.2338.
    78. M. Holzmann, B. Bernu, and D. M. Ceperley,
      Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas,
      J. Phys.: Conf. Ser. 321 012020 (2011), cond-mat/1105.2964.
    79. B. Bernu, F. Delyon, M. Holzmann, and L. Baguet,
      The Hartree-Fock phase diagram of the two-dimensional electron gas,
      Phys. Rev. B 84, 115115 (2011"); cond-mat/1106.2939.
    80. L. Messio, B. Bernu and C. Lhuillier,
      Phys. Rev. Lett., 108, 207204 (2012),
      "The kagome antiferromagnet: a chiral topological spin liquid ?"
    81. B. Fak, E. Kermarrec, L. Messio, B. Bernu, C. Lhuillier, F. Bert, P. Mendels, B. Koteswararao, F. Bouquet, J. Ollivier, A. D. Hillier, A. Amato, R. H. Colman and A. S. Wills, Phys. Rev. Lett.,109, 037208 (2012).
      "Kapellasite: a kagome quantum spin liquid ?"
    82. B. Bernu, C. Lhuillier, E. Kermarrec, F. Bert, P. Mendels, R. H. Colman, and A. S. Wills, Phys. Rev. B 87, 155107 (2013) (arXiv:1210.2549), "Exchange energies of kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model"
    83. L. Baguet, F. Delyon, B. Bernu, and M. Holzmann Phys. Rev. Lett. 111 166402 (2013). DOI: 10.1103/PhysRevLett.111.166402, cond-mat/1307.3081.
      "Hartree-Fock Ground State Phase Diagram of Jellium"
    84. Baguet, L, Delyon, F, Bernu, B, Holzmann, M, Phys. Rev. B 90 165131 (2014). DOI: 10.1103/PhysRevB.90.165131.
      "Properties of Hartree-Fock solutions of the three-dimensional electron gas"
    85. Bernu, B, Lhuillier, C, Phys. Rev. Lett. 114 057201 (2015), DOI: 10.1103/PhysRevLett.114.057201.
      "Spin Susceptibility of Quantum Magnets from High to Low Temperatures"
    86. Bieri, S, Messio, L, Bernu, B, Lhuillier, C, Phys. Rev. B 92 060407 (2015). DOI: 10.1103/PhysRevB.92.060407.
      "Gapless chiral spin liquid in a kagome Heisenberg model"
    87. Delyon, F, Bernu, B, Baguet, L, Holzmann, M, Phys. Rev. B 92 235124 (2015). DOI: 10.1103/PhysRevB.92.235124.
      "Upper bounds of spin-density wave energies in the homogeneous electron gas"

Delyon, F, Bernu, B, Holzmann, M,

      Phys. Rev. E

95

      023307 (2017). DOI: 10.1103/PhysRevE.95.023307


"Confidence and efficiency scaling in variational quantum Monte Carlo calculations"

  1. Orain, JC, Bernu, B, Mendels, P, Clark, L, Aidoudi, FH, Lightfoot, P, Morris, RE, Bert, F, Phys. Rev. Lett. 118 237203 (2017). DOI: 10.1103/PhysRevLett.118.237203
    "Nature of the Spin Liquid Ground State in a Breathing Kagome Compound Studied by NMR and Series Expansion"
  2. Messio, L, Bieri, S, Lhuillier, C, Bernu, B. Phys. Rev. Lett. 118 267201 (2017) DOI: 10.1103/PhysRevLett.118.267201.
    "Chiral Spin Liquid on a Kagome Antiferromagnet Induced by the Dzyaloshinskii-Moriya Interaction"
  3. Bernu, B, Delyon, F, Baguet, L, Holzmann, M, CONTRIBUTIONS TO PLASMA PHYSICS, 2017 (57) 524. DOI: 10.1002/ctpp.201700139
    "Periodic ground states of the electron gas in two and three dimensions"