Toward the parametrization of the Hubbard model for salts of bis(ethylenedithio)tetrathiafulvalene: A density functional study of isolated molecules
J. Chem. Phys. 130, 104508 (2009); doi:10.1063/1.3080543
Published 13 March 2009
You are not logged in to this journal. Log in
We calculate the effective Coulomb repulsion between electrons/holes U
and site energy for an isolated bis(ethylenedithio)tetrathiafulvalene (BEDT-TTF) molecule in vacuo. U
=4.2±0.1 eV for 44 experimental geometries taken from a broad range of conformations, polymorphs, anions, temperatures, and pressures (the quoted “error” is one standard deviation). Hence we conclude that U
is essentially the same for all of the compounds studied. This shows that the strong (hydrostatic and chemical) pressure dependence observed in the phase diagrams of the BEDT-TTF salts is not due to U
. Therefore, if the Hubbard model is sufficient to describe the phase diagram of the BEDT-TTF salts, there must be significant pressure dependence on the intramolecular terms in the Hamiltonian and/or the reduction in the Hubbard U due to the interaction of the molecule with the polarizable crystal environment. The renormalized value of U
is significantly smaller than the bare value of the Coulomb integral, F0=5.2±0.1 eV, across the same set of geometries, emphasizing the importance of using the renormalized value of U
. The site energy (for holes),
m=5.0±0.2 eV, varies only a little more than U
across the same set of geometries. However, we argue that this variation in the site energy plays a key role in understanding the role of disorder in bis(ethylenedithio)tetrathiafulvalene salts. We explain the differences between the
L and
H phases of (BEDT-TTF)2I3 on the basis of calculations of the effects of disorder.
©2009 American Institute of Physics
m=5.0±0.2 eV, varies only a little more than U
L and
H phases of (BEDT-TTF)2I3 on the basis of calculations of the effects of disorder.
©2009 American Institute of Physics
| History: | Received 31 October 2008; accepted 21 January 2009; published 13 March 2009 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/130/104508/1 |
EPAPS
- ET monomers - supplementary information.pdf (241 kB) 30-Jan-2009 11:25
- README.TXT (1 kB) 19-Mar-2009 15:28
- bI3e.avi (1734 kB) 30-Jan-2009 11:25
- bI3s.avi (1567 kB) 30-Jan-2009 11:25
- kCl.avi (1406 kB) 30-Jan-2009 11:25
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (70)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- For a recent review, see A. J. Cohen, P. Mori-Sanchez, and W. T. Yang,
Science 321, 792 (2008) . - For a recent review, see B. J. Powell and R. H. McKenzie,
J. Phys.: Condens. Matter 18, R827 (2006) . - For a recent review, see H. Seo, J. Merino, H. Yoshioka, and M. Ogata,
J. Phys. Soc. Jpn. 75, 051009 (2006) . - O. Gunnarsson, Alkali-Doped Fullerides: Narrow-Band Solids with Unusual Properties (World Scientific, Singapore, 2004).
- G. Brocks, J. van den Brink, and A. F. Morpurgo, Phys. Rev. Lett. 93, 146405 (2004).
- L. Cano-Cortés, A. Dolfen, J. Merino, J. Behler, B. Delley, K. Reuter, and E. Koch,
Eur. Phys. J. B 56, 173 (2007) . - Y. Imamura, S. Ten-no, K. Yonemitsu, and Y. Tanimura, J. Chem. Phys. 111, 5986 (1999).
- A. Fortunelli and A. Painelli, J. Chem. Phys. 106, 8041 (1997)
- L. Ducasse, A. Fritsch, and F. Castet,
Synth. Met. 85, 1627 (1997) . - F. Castet, A. Fritsch, and L. Ducasse,
J. Phys. I 6, 583 (1996) . - E. Demiralp, S. Dasgupta, and W. A. Goddard III,
J. Am. Chem. Soc. 117, 8154 (1995)
E. Demiralp, S. Dasgupta, and W. A. Goddard III, - T. Ishiguro, K. Yamaji, and G. Saito, Organic Superconductors (Springer-Verlag, Heidelberg, 1998).
- See, for example, J. Yamada, H. Akutsu, H. Nishakawa, and K. Kikuchi,
Chem. Rev. (Washington, D.C.) 104, 5057 (2004)
J. M. Fabre, - See, for example, H. Kino and H. Fukuyama,
J. Phys. Soc. Jpn. 65, 2158 (1996)
K. Kanoda, - B. J. Powell, M. R. Pederson, and T. Baruah, arXiv:cond-mat/0510205.
- See, for example, J. M. Williams, J. R. Ferraro, R. J. Thorn, K. D. Carlson, U. Geiser, H. H. Wang, A. M. Kini, M. -H. Whangbo, Organic Superconductors (including Fullerenes): Synthesis, Structure, Properties and Theory (Prentice Hall, New Jersey, 1992)
- R. L. Martin and J. P. Ritchie, Phys. Rev. B 48, 4845 (1993).
- V. P. Antropov, O. Gunnarsson, and O. Jepsen, Phys. Rev. B 46, 13647 (1992).
- M. R. Pederson and A. A. Quong, Phys. Rev. B 46, 13584 (1992).
- O. Gunnarsson, Phys. Rev. B 41, 514 (1990).
- U. Rössler, Solid State Theory (Springer, Berlin, 2004)
- R. L. Graham and K. F. Freed, J. Chem. Phys. 96, 1304 (1992)
- J. F. Janak,
Phys. Rev. B 18, 7165 (1978) . - D. C. Langreth and M. J. Mehl, Phys. Rev. B 28, 1809 (1983).
- J. P. Perdew and M. Levy, Phys. Rev. Lett. 51, 1884 (1983)
- J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
- A. J. Cohen, P. Mori-Sánchez, and W. Yang, Phys. Rev. B 77, 115123 (2008)
- J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. Sánchez-Portal,
J. Phys.: Condens. Matter 14, 2745 (2002) . - M. R. Pederson and K. A. Jackson, Phys. Rev. B 41, 7453 (1990)
- D. V. Porezag and M. R. Pederson, Phys. Rev. B 54, 7830 (1996).
- O. F. Sankey and D. J. Niklewski, Phys. Rev. B 40, 3979 (1989).
- N. Troullier and J. L. Martins, Phys. Rev. B 43, 1993 (1991).
- See EPAPS Document No. E-JCPSA6-130-034908 for pseudopotential parameters, atomic coordinates of the geometries studies in this paper, and full details of the Hubbard parameters. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html. [EPAPS]
- G. B. Bachelet, D. R. Hamann, and M. Schlüter, Phys. Rev. B 26, 4199 (1982).
- P. C. W. Leung, T. J. Emge, M. A. Beno, H. H. Wang, J. M. Williams, V. Petricek, and P. Coppens,
J. Am. Chem. Soc. 107, 6184 (1985) . - K. Bender, I. Hennig, D. Schweitzer, K. Dietz, H. Endres, and H. J. Keller,
Mol. Cryst. Liq. Cryst. 108, 359 (1984) . - T. J. Emge, P. C. W. Leung, M. A. Beno, H. H. Wang, J. M. Williams, M. -H. Whangbo, and M. Evain,
Mol. Cryst. Liq. Cryst. 138, 393 (1986) . - A. Kobayashi, R. Kato, H. Kobayashi, S. Moriyama, Y. Nishio, K. Kajita, and W. Sasaki, Chem. Lett. 16, 459 (1987).
- B. Salameh, A. Nothardt, E. Balthes, W. Schmidt, and D. Schweitzer, Phys. Rev. B 75, 054509 (2007).
- H. H. Wang, M. A. Beno, U. Geiser, M. A. Firestone, K. S. Webb, L. Nuñez, G. W. Crabtree, K. D. Carlson, and J. M. Williams,
Inorg. Chem. 24, 2465 (1985) . - J. M. Williams, H. H. Wang, M. A. Beno, T. J. Emge, L. M. Sowa, P. T. Copps, F. Behroozi, L. N. Hall, K. D. Carlson, and G. W. Crabtree,
Inorg. Chem. 23, 3839 (1984) . - D. Madsen, M. Burghammer, S. Fiedler, and H. Muller,
Acta Crystallogr., Sect. B: Struct. Sci. 55, 601 (1999) . - U. Geiser, J. A. Schlueter, H. H. Wang, A. M. Kini, J. M. Williams, P. P. Sche, H. I. Zakowicz, M. L. Van Zile, and J. D. Dudek,
J. Am. Chem. Soc. 118, 9996 (1996) . - A. Ugawa, K. Yakushi, H. Kuroda, A. Kawamoto, and J. Tanaka, Chem. Lett. 15, 1875 (1986).
- T. Mori, F. Sakai, G. Saito, and H. Inokuchi, Chem. Lett. 15, 1037 (1986).
- U. Geiser, A. J. Schultz, H. H. Wang, D. M. Watkins, D. L. Stupka, and J. M. Williams,
Physica C 174, 475 (1991) . - A. J. Schultz, U. Geiser, H. H. Wang, and J. M. Williams,
Physica C 208, 277 (1993) . - M. Rahal, D. Chasseau, J. Gaulthier, L. Ducasse, M. Kurmoo, and P. Day,
Acta Crystallogr., Sect. B: Struct. Sci. 53, 159 (1997) . - A. J. Schultz, M. A. Beno, U. Geiser, H. H. Wang, A. M. Kini, and J. M. Williams,
J. Solid State Chem. 94, 352 (1991) . - U. Geiser, H. H. Wang, K. D. Carlson, J. M. Williams, H. A. Charlier, Jr., J. E. Heindl, G. A. Yaconi, B. J. Love, and M. W. Lathrop,
Inorg. Chem. 30, 2586 (1991) . - R. Li, V. Petricek, G. Yang, and P. Coppens,
Chem. Mater. 10, 1521 (1998) . - K. F. Freed,
Acc. Chem. Res. 16, 137 (1983) . - R. L. Graham and K. F. Freed, J. Chem. Phys. 96, 1304 (1992).
- As we are presenting DFT calculations it is also interesting to consider the self-interaction correction (SIC), which is absent in wave function methods. If the SIC per electron is constant then the SIC would cancel entirely when U
is calculated from Eq. (6). Of course this is only approximately true, but nevertheless suggests that the SIC is less important for U
than for F0.
- N. Sato, G. Saito, and H. Inokuchi,
Chem. Phys. 76, 79 (1983) . - V. B. Ginodman, A. V. Gudenko, L. N. Zherikhina, V. N. Laukhin, E. B. Yagubskii, P. A. Kononovich, and I. F. Shegolev,
Acta Polym. 39, 533 (1988) . - T. J. Emge, P. C. W. Leung, M. A. Beno, A. J. Schultz, H. H. Wang, L. M. Sowa, and J. M. Williams, Phys. Rev. B 30, 6780 (1984).
- S. Ravy, J. P. Pouget, R. Moret, and C. Lenoir, Phys. Rev. B 37, 5113 (1988).
- B. J. Powell,
J. Phys.: Condens. Matter 18, L575 (2006) . - A. I. Larkin, JETP Lett. 2, 130 (1965).
- Note that as the ET salts are quarter filled with holes (three quarters filled with electrons)
m, not
m, is the relevant quantity here. - B. J. Powell,
J. Phys. IV 114, 363 (2004) . - B. J. Powell and R. H. McKenzie, Phys. Rev. Lett. 94, 047004 (2005)
- P. Sahebsara and D. Sénéchal, Phys. Rev. Lett. 97, 257004 (2006)
- J. Liu, J. Schmalian, and N. Travedi, Phys. Rev. Lett. 94, 127003 (2005).
- B. J. Powell and R. H. McKenzie, Phys. Rev. B 69, 024519 (2004).
- J. G. Analytis, A. Ardavan, S. J. Blundell, R. L. Owen, E. F. Garman, C. Jeynes, and B. J. Powell, Phys. Rev. Lett. 96, 177002 (2006).
- U. Geiser, A. J. Schultz, H. H. Wang, D. M. Watkins, D. L. Stupka, J. M. Williams, J. E. Schirber, D. L. Overmyer, D. Jung, J. J. Novoa, and M. -H. Whangbo,
Physica C 174, 475 (1991) . - H. H. Wang, K. D. Carlson, U. Geiser, A. M. Kini, A. J. Schultz, J. M. Williams, L. K. Montgomery, W. K. Kwok, U. Welp, K. G. Vandervoort, S. J. Boryschk, A. V. Strieby Crouch, J. M. Kommers, D. M. Watkins, J. E. Schirber, D. L. Overmyer, D. Jung, J. J. Novoa, and M. -H. Whangboo,
Synth. Met. 42, 1983 (1991) . - A. J. Schultz, H. H. Wang, J. M. Williams, and A. Filhol,
J. Am. Chem. Soc. 108, 7853 (1986) .
A. Fortunelli and A. Painelli, Phys. Rev. B 55, 16088 (1997).
E. Demiralp and W. A. Goddard III,
A. Girlando, M. Masino, G. Visentini, R. G. Della Valle, A. Brillante, and E. Venuti, Phys. Rev. B 62, 14476 (2000)
A. Girlando, M. Masino, A. Brillante, R. G. Della Valle, and E. Venuti, ibid. 62, 14476 (2000)
66, 100507 (2002).
U. Geiser and J. A. Schlueter,
K. Kanoda,
R. H. McKenzie,
C. Hotta,
H. Seo, C. Hotta, and H. Fukuyama,
A. Painelli, A. Girlando, A. Fortunelli, Phys. Rev. B 64, 054509 (2001).
J. E. Stevens, K. F. Freed, F. Arendt, and R. L. Graham, ibid. 101, 4832 (1994)
J. P. Finley and K. F. Freed, ibid. 102, 1306 (1995)
J. E. Stevens, R. K. Chaudhuri, and K. F. Freed, ibid. 105, 8754 (1996)
R. K. Chaudhuri and K. F. Freed, ibid. 119, 5995 (2003)
R. K. Chaudhuri and K. F. Freed, ibid. 122, 204111 (2005).
102, 066403 (2009).
K. A. Jackson and M. R. Pederson, ibid. 42, 3276 (1990)
A. Briley, M. R. Pederson, K. A. Jackson, D. C. Patton, and D. V. Porezag ibid. 58, 1786 (1998)
A. A. Quong, M. R. Pederson, and J. L. Feldman,
D. V. Porezag, Ph.D. thesis, Technische Universitat, 1997, http://archiv.tu-chemnitz.de/pub/1997/0025.
J. Y. Gan, Y. Chen, Z. B. Su, and F. C. Zhang, Phys. Rev. Lett. 94, 067005 (2005).








