Importance of chain-chain interactions on the band gap of trans-polyacetylene as predicted by second-order perturbation theory.

We employ the Laplace-transformed second-order Moller-Plesset perturbation theory for periodic systems in its atomic orbital basis formulation to determine the geometric structure and band gap of interacting polyacetylene chains. We have studied single, double, and triple chains, and also two-dimensional crystals. We estimate from first principles the equilibrium interchain distance and setting angle, along with binding energy between trans-polyacetylene chains due to dispersion interactions. The dependence of the correlation corrected quasiparticle band gap on the intrachain and interchain geometric parameters is studied, obtaining that the gap of the compound structures is substantially reduced with respect to the single chain polymer.

[1]  P. Fulde Ground‐state wave functions and energies of solids , 2000 .

[2]  Philippe Y. Ayala,et al.  Atomic orbital Laplace-transformed second-order Møller–Plesset theory for periodic systems , 2001 .

[3]  S. H. Vosko,et al.  Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis , 1980 .

[4]  K. Kudin,et al.  Linear scaling density functional theory with Gaussian orbitals and periodic boundary conditions , 2000 .

[5]  A. Heeger,et al.  Structural determination of the symmetry-breaking parameter in trans-(CH)/sub x/ , 1982 .

[6]  Laplace-transformed diagonal Dyson correction to quasiparticle energies in periodic systems. , 2004, The Journal of chemical physics.

[7]  S. Suhai,et al.  Quasiparticle energy-band structures in semiconducting polymers: Correlation effects on the band gap in polyacetylene , 1983 .

[8]  J. Ladik Polymers as solids: a quantum mechanical treatment , 1999 .

[9]  C. Liegener Abinitio calculations of correlation effects in trans‐polyacetylene , 1988 .

[10]  So Hirata,et al.  Coupled-cluster singles and doubles for extended systems. , 2004, The Journal of chemical physics.

[11]  Michael Dolg,et al.  WAVE-FUNCTION-BASED CORRELATED AB INITIO CALCULATIONS ON CRYSTALLINE SOLIDS , 1999 .

[12]  Campbell,et al.  First-principles calculations of the three-dimensional structure and intrinsic defects in trans-polyacetylene. , 1990, Physical review. B, Condensed matter.

[13]  H. Teramae Abinitio study on the cis–trans energetics of polyacetylene , 1986 .

[14]  So Hirata,et al.  The analytical energy gradient scheme in the Gaussian based Hartree-Fock and density functional theory for two-dimensional systems using the fast multipole method , 2003 .

[15]  So Hirata,et al.  Analytical energy gradients in second-order Mo/ller–Plesset perturbation theory for extended systems , 1998 .

[16]  Richard L. Martin,et al.  Hybrid density-functional theory and the insulating gap of UO2. , 2002, Physical review letters.

[17]  Pisani,et al.  Correlation correction to the Hartree-Fock total energy of solids. , 1987, Physical review. B, Condensed matter.

[18]  Beate Paulus,et al.  Ab initio incremental correlation treatment with non-orthogonal localized orbitals , 2003 .

[19]  C. Liegener,et al.  Third-order many-body perturbation theory in the Moller-Plesset partitioning applied to an infinite alternating hydrogen chain , 1985 .

[20]  Alan J. Heeger,et al.  Soliton excitations in polyacetylene , 1980 .

[21]  S. Suhai Structural and electronic properties of infinite cis and trans polyenes : perturbation theory of electron correlation effects , 1992 .

[22]  White,et al.  Local-density-functional results for the dimerization of trans-polyacetylene: Relationship to the band-gap problem. , 1987, Physical review. B, Condensed matter.

[23]  G. Scuseria,et al.  Climbing the density functional ladder: nonempirical meta-generalized gradient approximation designed for molecules and solids. , 2003, Physical review letters.

[24]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[25]  Gustavo E Scuseria,et al.  Assessment and validation of a screened Coulomb hybrid density functional. , 2004, The Journal of chemical physics.

[26]  G. Scuseria,et al.  Hybrid functionals based on a screened Coulomb potential , 2003 .

[27]  Roberto Dovesi,et al.  Exact-exchange Hartree–Fock calculations for periodic systems. I. Illustration of the method† , 1980 .

[28]  Gustavo E Scuseria,et al.  Efficient hybrid density functional calculations in solids: assessment of the Heyd-Scuseria-Ernzerhof screened Coulomb hybrid functional. , 2004, The Journal of chemical physics.

[29]  C. S. Yannoni,et al.  Molecular Geometry of cis- and trans-Polyacetylene by Nutation NMR Spectroscopy , 1983 .

[30]  R. Bartlett,et al.  Many-body Green's-function calculations on the electronic excited states of extended systems , 2000 .

[31]  K. Burke,et al.  Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)] , 1997 .

[32]  So Hirata,et al.  A crystalline orbital study of polydiacetylenes , 2001 .

[33]  Campbell,et al.  Three-dimensional structure and intrinsic defects in trans-polyacetylene. , 1989, Physical review letters.

[34]  M. Ozaki,et al.  Electronic structure of polyacetylene: Optical and infrared studies of undoped semiconducting (CH) x and heavily doped metallic (CH) x , 1979 .

[35]  N. Harrison,et al.  On the prediction of band gaps from hybrid functional theory , 2001 .

[36]  Roberto Dovesi,et al.  Hartree Fock Ab Initio Treatment of Crystalline Systems , 1988 .

[37]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[38]  Rodney J. Bartlett,et al.  Second‐order many‐body perturbation‐theory calculations in extended systems , 1996 .

[39]  K. Burke,et al.  Rationale for mixing exact exchange with density functional approximations , 1996 .

[40]  Gustavo E. Scuseria,et al.  Linear Scaling Density Functional Calculations with Gaussian Orbitals , 1999 .

[41]  Rodney J. Bartlett,et al.  Correlation energy estimates in periodic extended systems using the localized natural bond orbital coupled cluster approach , 2003 .

[42]  Janos Ladik,et al.  Numerical application of the coupled cluster theory with localized orbitals to polymers. IV. Band structure corrections in model systems and polyacetylene , 1997 .