Abstract
We review state-of-the-art theoretical approaches to the metal–insulator transition in dense hydrogen by comparing advanced chemical models with ab initio simulation techniques as well as shock-wave experiments. Chemical models rely on the effective interaction potentials between the different species and a proper calculation of the density- and temperature-dependent partition functions. A common feature of chemical models is the occurrence of a first-order phase transition at high pressures, the plasma phase transition. Ab initio simulation techniques which avoid a discrimination of electron states into bound and free states by starting from a strict physical picture show up to now no clear signal of a first-order phase transition. However, the metal–insulator transition as experimentally deduced from electrical conductivity and the reflectivity measurements is very well reproduced.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
E.P. Wigner, H.B. Huntington, J. Chem. Phys. 3, 764 (1935)
M. Städele, R.M. Martin, Phys. Rev. Lett. 84(26), 6070 (2000)
K. Nagao, S.A. Bonev, N.W. Ashcroft, Phys. Rev. B 64(22), 224111 (2001)
W. Ebeling, G. Norman, J. Stat. Phys. 110(3–6), 861 (2003)
H.K. Mao, R.J. Hemley, Rev. Mod. Phys. 66(2), 671 (1994)
V.E. Fortov, V.Y. Ternovoi, M.V. Zhernokletov, M.A. Mochalov, A.L. Mikhailov, A.S. Filimonov, A.A. Pyalling, V.B. Mintsev, V.K. Gryaznov, I.L. Iosilevskii, J. Exp. Theor. Phys. 97, 259 (2003)
G.V. Boriskov, A.I. Bykov, R.I. Il’Kaev, V.D. Selemir, G.V. Simakov, R.F. Trunin, V.D. Urlin, A.N. Shuikin, W.J. Nellis, Phys. Rev. B 71, 092104 (2005)
V.E. Fortov, R.I. Ilkaev, V. Arinin, V.V. Burtzev, V.A. Golubev, I.L. Iosilevkiy, V.V. Khrustalev, A.L. Mikhailov, M.A. Mochalov, V.Y. Ternovoi, M.V. Zhernokletov, Phys. Rev. Lett. 99, 185001 (2007)
S.T. Weir, A.C. Mitchell, W.J. Nellis, Phys. Rev. Lett. 76, 1860 (1996)
W.J. Nellis, S.T. Weir, A.C. Mitchell, Phys. Rev. B 59, 3434 (1999)
W.J. Nellis, Rep. Prog. Phys. 69, 1479 (2006)
L.B. Da Silva, P. Celliers, G.W. Collins, K.S. Budil, N.C. Holmes, T.W. Barbee, B.A. Hammel, J.D. Kilkenny, R.J. Wallace, M. Ross, R. Cauble, A. Ng, G. Chiu, Phys. Rev. Lett. 78(3), 483 (1997)
G.W. Collins, L.B. Da Silva, P. Celliers, D.M. Gold, M.E. Foord, R.J. Wallace, A. Ng, S.V. Weber, K.S. Budil, R. Cauble, Science 281(5380), 1178 (1998)
D.G. Hicks, T.R. Boehly, P.M. Celliers, J.H. Eggert, S.J. Moon, D.D. Meyerhofer, G.W. Collins, Phys. Rev. B 79, 014112 (2009)
M.D. Knudson, D.L. Hanson, J.E. Bailey, C.A. Hall, J.R. Asay, W.W. Anderson, Phys. Rev. Lett. 87, 225501 (2001)
M.D. Knudson, D.L. Hanson, J.E. Bailey, C.A. Hall, J.R. Asay, C. Deeney, Phys. Rev. B 69, 144209 (2004)
Y.B. Zeldovich, L.D. Landau, Zh. Eksp. Teor. Fiz. 14, 32 (1944)
W. Ebeling, W. Richert, Phys. Lett. A 108, 80 (1985)
D. Saumon, G. Chabrier, Phys. Rev. Lett. 62(20), 2397 (1989)
D. Saumon, G. Chabrier, Phys. Rev. A 44, 5122 (1991)
D. Saumon, G. Chabrier, Phys. Rev. A 46, 2084 (1992)
M. Schlanges, M. Bonitz, A. Tschttschjan, Contrib. Plasma Phys. 35, 109 (1995)
H. Reinholz, R. Redmer, S. Nagel, Phys. Rev. E 52, 5368 (1995)
A.A. Likalter, Phys. Rev. B 53(8), 4386 (1996)
A.A. Likalter, J. Exp. Theor. Phys. 86(3), 598 (1998)
W. Ebeling, A. Förster, H. Hess, M.Y. Romanovsky, Plasma Phys. Contr. Fusion 38(12A), A31 (1996)
V.S. Filinov, M. Bonitz, V.E. Fortov, W. Ebeling, P. Levashov, M. Schlanges, Contrib. Plasma Phys. 44(5–6), 388 (2004)
B. Holst, R. Redmer, M.P. Desjarlais, Phys. Rev. B 77(18), 184201 (2008)
R. Redmer, Phys. Rep. 282, 35 (1997)
S.A. Bonev, B. Militzer, G. Galli, Phys. Rev. B 69, 014101 (2004)
S.A. Bonev, E. Schwegler, T. Ogitsu, G. Galli, Nature 431, 669 (2004)
B. Jakob, P.G. Reinhard, C. Toepffer, G. Zwicknagel, Phys. Rev. E 76, 036406 (2007)
D. Saumon, G. Chabrier, H.M. van Horn, Astrophys. J. Suppl. Ser. 99, 713 (1995)
T. Guillot, Science 286, 72 (1999)
N. Nettelmann, B. Holst, A. Kietzmann, M. French, R. Redmer, D. Blaschke, Astrophys. J. 683, 1217 (2008)
W. Lorenzen, B. Holst, R. Redmer, Phys. Rev. Lett. 102, 115701 (2009)
M. French, T.R. Mattsson, N. Nettelmann, R. Redmer, Phys. Rev. B 79, 054107 (2009)
D.E. Logan, Y.H. Szczech, M.A. Tusch, in Metal-Insulator Transitions Revisited, ed. by P.P. Edwards, C.N.R. Rao (Taylor and Francis, London, 1995)
P.P. Edwards, R.L. Johnston, C.N.R. Rao, D.P. Tunstall, F. Hensel, Phil. Trans. R. Soc. Lond. A 356(1735), 5 (1998)
F.J. Rogers, H.C. Graboske, D.J. Harwood, Phys. Rev. A 1(6), 1577 (1970)
R. Zimmermann, K. Kilimann, W.D. Kraeft, D. Kremp, G. Röpke, Phys. Stat. Sol. B 90(1), 175 (1978)
D. Kremp, M. Schlanges, W.D. Kraeft, Quantum Statistics of Nonideal Plasmas (Springer, Heidelberg, 2005)
N.N. Iermohin, B.M. Kovaliov, P.P. Kulik, V.A. Riabii, J. Phys. (Paris) C1(5), 39 (1978)
P.M. Celliers, G.W. Collins, L.B. DaSilva, D.M. Gold, R. Cauble, R.J. Wallace, M.E. Foord, B.A. Hammel, Phys. Rev. Lett. 84, 5564 (2000)
H. Juranek, N. Nettelmann, S. Kuhlbrodt, V. Schwarz, B. Holst, R. Redmer, Contrib. Plasma Phys. 45(5–6), 432 (2005)
R. Redmer, H. Juranek, N. Nettelmann, B. Holst, in AIP Conference Proceedings 845: Shock Compression of Condensed Matter – 2005, ed. by M.D. Furnish, M. Elert, T.P. Russell, C.T. White (AIP, Melville, New York, 2006), pp. 127–130
R. Redmer, G. Röpke, Physica A 130(3), 523 (1985)
M. Ross, F.H. Ree, D.A. Young, J. Chem. Phys. 79(3), 1487 (1983)
H. Juranek, R. Redmer, J. Chem. Phys. 112, 3780 (2000)
H. Juranek, R. Redmer, Y. Rosenfeld, J. Chem. Phys. 117, 1768 (2002)
Q.F. Chen, L.C. Cai, Y. Zhang, Y.J. Gu, F.Q. Jing, J. Chem. Phys. 124(7), 074510 (2006)
V. Schwarz, H. Juranek, R. Redmer, Phys. Chem. Chem. Phys. 7(9), 1990 (2005)
G. Chabrier, A.Y. Potekhin, Phys. Rev. E 58, 4941 (1998)
W. Ebeling, W. Richert, Ann. Phys. 39, 362 (1982)
A.G. McLellan, B.J. Alder, J. Chem. Phys. 24, 115 (1956)
T. Kahlbaum, A. Förster, Fluid Phase Equil. 76, 71 (1992)
H.C. Graboske Jr., D.J. Harwood, F.J. Rogers, Phys. Rev. 186, 210 (1969)
B. Holst, N. Nettelmann, R. Redmer, Contrib. Plasma Phys. 47, 368 (2007)
M. Robnik, W. Kundt, Astron. Astrophys. 120, 227 (1983)
M. Marley, W. Hubbard, Icarus 73, 536 (1988)
W. Ebeling, W. Richert, W.D. Kraeft, W. Stolzmann, Phys. Stat. Sol. B 104, 193 (1981)
D. Beule, W. Ebeling, A. Förster, H. Juranek, S. Nagel, R. Redmer, G. Röpke, Phys. Rev. B 59, 14177 (1999)
W.R. Magro, D.M. Ceperley, C. Pierleoni, B. Bernu, Phys. Rev. Lett. 76, 1240 (1996)
W. Ebeling, R. Sändig, Ann. Phys. 28, 289 (1973)
P. Haronska, D. Kremp, M. Schlanges, Wiss. Zeit. Univ. Rostock 36, 98 (1987)
H. Kitamura, S. Ichimaru, J. Phys. Soc. Jpn. 67, 950 (1998)
G.E. Norman, A.N. Starostin, High Temp. 8, 381 (1970)
J. Vorberger, I. Tamblyn, B. Militzer, S.A. Bonev, Phys. Rev. B 75, 024206 (2007)
T.J. Lenosky, J.D. Kress, L.A. Collins, I. Kwon, Phys. Rev. B 55, 11907 (1997)
L.A. Collins, S.R. Bickham, J.D. Kress, S. Mazevet, T.J. Lenosky, N.J. Troullier, W. Windl, Phys. Rev. B 63, 184110 (2001)
M.P. Desjarlais, J.D. Kress, , L.A. Collins, Phys. Rev. E 66, 025401 (2002)
M.P. Desjarlais, Phys. Rev. B 68, 064204 (2003)
S. Mazevet, J.D. Kress, L.A. Collins, P. Blottiau, Phys. Rev. B 67, 054201 (2003)
Y. Laudernet, J. Clérouin, S. Mazevet, Phys. Rev. B 70, 165108 (2004)
S. Mazevet, M.P. Desjarlais, L.A. Collins, J.D. Kress, N.H. Magee, Phys. Rev. E 71, 016409 (2005)
S. Mazevet, F. Lambert, F. Bottin, G. Zérah, J. Clérouin, Phys. Rev. E 75, 056404 (2007)
A.E. Mattsson, P.A. Schultz, M.P. Desjarlais, T.R. Mattsson, K. Leung, Model. Simul. Mater. Sci. Eng. 13, R1 (2005)
D. Klakow, C. Toepffer, P.G. Reinhard, J. Chem. Phys. 101, 10766 (1994)
S. Nagel, R. Redmer, G. Röpke, M. Knaup, C. Toepffer, Phys. Rev. E 57, 5572 (1998)
M. Knaup, P.G. Reinhard, C. Toepffer, Contrib. Plasma Phys. 39, 57 (1999)
M. Knaup, G. Zwicknagel, P.G. Reinhard, C. Toepffer, Nucl. Instr. Meth. A 464, 267 (2001)
M. Knaup, P.G. Reinhard, C. Toepffer, G. Zwicknagel, J. Phys. A Math. Gen. 36, 6165 (2003)
P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964)
W. Kohn, L.J. Sham, Phys. Rev. 140, A1133 (1965)
N.D. Mermin, Phys. Rev. 137, A1441 (1965)
G. Kresse, J. Hafner, Phys. Rev. B 47, 558 (1993)
G. Kresse, J. Hafner, Phys. Rev. B 49, 14251 (1994)
G. Kresse, J. Furthmüller, Phys. Rev. B 54, 11169 (1996)
G. Kresse, D. Joubert, Phys. Rev. B 59, 1758 (1999)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
S. Nosé, J. Chem. Phys. 81, 511 (1984)
A. Baldereschi, Phys. Rev. B 7, 5212 (1973)
N.A. Tahir, D.H.H. Hoffmann, A. Kozyreva, A. Tauschwitz, A. Shutov, J.A. Maruhn, P. Spiller, U. Neuner, J. Jakoby, M. Roth, R. Bock, H. Juranek, R. Redmer, Phys. Rev. E 63, 016402 (2001)
T.J. Lenosky, J.D. Kress, L.A. Collins, Phys. Rev. B 56, 5164 (1997)
W.J. Nellis, A.C. Mitchell, M. van Thiel, G.J. Devine, R.J. Trainor, N. Brown, J. Chem. Phys. 79, 1480 (1983)
R. Cauble, L.B.D. Silva, T.S. Perry, D.R. Bach, K.S. Budil, P. Celliers, G.W. Collins, A. Ng, T.W. Barbee Jr., B.A. Hammel, N.C. Holmes, J.D. Kilkenny, R.J. Wallace, G. Chiu, N.C. Woolsey, Phys. Plasma 4, 1857 (1997)
T.J. Lenosky, S.R. Bickham, J.D. Kress, L.A. Collins, Phys. Rev. B 61, 1 (2000)
B. Militzer, D.M. Ceperley, J.D. Kress, J.D. Johnson, L.A. Collins, S. Mazevet, Phys. Rev. Lett. 87, 275502 (2001)
G.I. Kerley, Equation of states for hydrogen and deuterium. Tech. Rep. SAND2003-3613, Sandia National Laboratories (2003)
B. Militzer, D.M. Ceperley, Phys. Rev. Lett. 85, 1890 (2000)
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)
D.A. Greenwood, Proc. Phys. Soc. Lond. 71, 585 (1958)
H.J. Monkhorst, J.D. Pack, Phys. Rev. B 13, 5188 (1976)
W.J. Nellis, A.C. Mitchell, P.C. McCandless, D.J. Erskine, S.T. Weir, Phys. Rev. Lett. 68, 2937 (1992)
S. Kuhlbrodt, B. Holst, R. Redmer, Contrib. Plasma Phys. 45, 73 (2005); The COMPTRA04 source code and data files can be found at http://www.physik.uni-rostock.de/statphys/pages/comptra
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Redmer, R., Holst, B. (2010). Metal–Insulator Transition in Dense Hydrogen. In: Redmer, R., Hensel, F., Holst, B. (eds) Metal-to-Nonmetal Transitions. Springer Series in Materials Science, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03953-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-03953-9_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03952-2
Online ISBN: 978-3-642-03953-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)