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Durand P, Malrieu JP. Effective Hamiltonians and Pseudo-Operators as Tools for Rigorous Modelling. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470142936.ch6] [Citation(s) in RCA: 77] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
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Bewick SA, Soos ZG. Peierls transitions in ionic organic charge-transfer crystals with spin and charge degrees of freedom. J Phys Chem B 2006; 110:18748-57. [PMID: 16986864 DOI: 10.1021/jp0552022] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
The quasi-one-dimensional electronic structure of organic charge-transfer (CT) salts rationalizes Peierls transitions in mixed or segregated stacks of pi-electron donors (D) and acceptors (A). A microscopic Peierls-Hubbard model, HCT, is presented for CT salts with mixed stacks (Drho+Arho-)n and ionicity rho > 0.7. Dimerization opens a Peierls gap that, due to electron correlation, is the singlet-triplet gap, EST. In contrast to spin-Peierls systems, such as Heisenberg spin chains with rho = 1 and TSP < 20 K, Peierls transitions in CT salts with rho < 1 occur at higher TP and involve both spin and charge degrees of freedom. Linear electron-phonon coupling and an adiabatic approximation for a harmonic lattice are used to model the dimerization amplitude deltaT for T < TP, the magnetic (spin) susceptibility chiT, and the relative infrared intensity of totally symmetric molecular modes. Exact thermodynamics of HCT for stacks up to N = 12 sites are applied to two CT salts with TP approximately 50 and 120 K whose magnetism and infrared have not been modeled previously and to CT salts with inaccessibly high TP > 350 K whose description has been difficult. Ionic CT salts are correlated Peierls systems with a degenerate ground state (GS) at T = 0 whose elementary excitations are spin solitons, while dimerized ion-radical stacks that support triplet-spin excitons have nondegenerate GS. In less ionic CT salts, modulation of HCT parameters on cooling or under pressure leads to Peierls and/or neutral-ionic transitions of the GS, without appreciable thermal population of excited states. Correlations change the gap equation that relates EST at T = 0 to TP compared to free electrons, and size convergence is fast in stacks with large delta0 and high TP.
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Affiliation(s)
- S A Bewick
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
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Resonating Valence-Bond theories for carbon π-networks and classical/quantum connections. ACTA ACUST UNITED AC 2002. [DOI: 10.1016/s1380-7323(02)80016-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Sreedhar K, Ganguly P, Ramasesha S. Investigations on Bi2CuO4: a quasi-one-dimensional oxide system. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/21/6/018] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Liviotti E, Ubertini F, Erdös P. Bond configurations in the Peierls–Hubbard model of small ring-shaped molecules. J Chem Phys 1999. [DOI: 10.1063/1.479516] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wen G, Soos ZG. Correlated π-electronic states: Pyrene, 16-site polyene, and D2h symmetry adaptation. J Chem Phys 1998. [DOI: 10.1063/1.475631] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Uhrig GS, Schulz HJ. Magnetic excitation spectrum of dimerized antiferromagnetic chains. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R9624-R9627. [PMID: 9984776 DOI: 10.1103/physrevb.54.r9624] [Citation(s) in RCA: 56] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chitra R, Pati S, Krishnamurthy HR, Sen D, Ramasesha S. Density-matrix renormalization-group studies of the spin-1/2 Heisenberg system with dimerization and frustration. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:6581-6587. [PMID: 9981887 DOI: 10.1103/physrevb.52.6581] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yamamoto S. Elementary excitations of S=1 antiferromagnetic Heisenberg chains with bond alternation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:16128-16134. [PMID: 9978595 DOI: 10.1103/physrevb.51.16128] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Mukhopadhyay D, Hayden GW, Soos ZG. Molecular-exciton approach to spin-charge crossovers in dimerized Hubbard and excitonic chains. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:9476-9492. [PMID: 9977608 DOI: 10.1103/physrevb.51.9476] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lieb EH, Nachtergaele B. Stability of the Peierls instability for ring-shaped molecules. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:4777-4791. [PMID: 9979344 DOI: 10.1103/physrevb.51.4777] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ramasesha S, Soos ZG. Symmetry adaptation of correlated states in the valence bond basis. J Chem Phys 1993. [DOI: 10.1063/1.464031] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Kepler RG, Soos ZG. Electronic excitations of poly(methylphenylsilane) films. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:12530-12537. [PMID: 9997054 DOI: 10.1103/physrevb.43.12530] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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McWilliams PC, Hayden GW, Soos ZG. Theory of even-parity states and two-photon spectra of conjugated polymers. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:9777-9791. [PMID: 9996679 DOI: 10.1103/physrevb.43.9777] [Citation(s) in RCA: 66] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ramasesha S, Das K. Valence-bond theory of the Kondo lattice model in one dimension. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:10682-10695. [PMID: 9995327 DOI: 10.1103/physrevb.42.10682] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Affleck I, Bonner JC. Logarithmic corrections in antiferromagnetic chains. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:954-957. [PMID: 9994627 DOI: 10.1103/physrevb.42.954] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Guo D, Kennedy T, Mazumdar S. Spin-Peierls transitions in S>1/2 Heisenberg chains. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:9592-9595. [PMID: 9993324 DOI: 10.1103/physrevb.41.9592] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Soos ZG, Hayden GW. Static polarizability of interacting pi electrons in conjugated polymers. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:3081-3089. [PMID: 9992244 DOI: 10.1103/physrevb.40.3081] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hayden GW, Soos ZG. Dimerization enhancement in one-dimensional Hubbard and Pariser-Parr-Pople models. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:6075-6083. [PMID: 9947066 DOI: 10.1103/physrevb.38.6075] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gagliano ER, Balseiro CA, Alascio B. Finite-size studies of the neutral-ionic transition in organic mixed-stack compounds. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:5697-5704. [PMID: 9943765 DOI: 10.1103/physrevb.37.5697] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Blote HW, Bonner JC. Quantum spin chains with alternation. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:2337-2340. [PMID: 9943095 DOI: 10.1103/physrevb.36.2337] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Gagliano ER, Proetto CR, Balseiro CA. Peierls instability in spinless one-dimensional conductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:2257-2262. [PMID: 9943073 DOI: 10.1103/physrevb.36.2257] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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The Crossover from One to Three Dimensions: Peierls and Spin-Peierls Instabilities. ACTA ACUST UNITED AC 1987. [DOI: 10.1007/978-1-4899-3611-0_7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/07/2023]
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Schweizer KS. Configurational dependence of the optical properties of π‐conjugated polymers. I. Strong disorder limit. J Chem Phys 1986. [DOI: 10.1063/1.450891] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Girlando A, Painelli A. Regular-dimerized stack and neutral-ionic interfaces in mixed-stack organic charge-transfer crystals. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:2131-2139. [PMID: 9939897 DOI: 10.1103/physrevb.34.2131] [Citation(s) in RCA: 34] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Gagliano ER, Dagotto E, Moreo A, Alcaraz FC. Correlation functions of the antiferromagnetic Heisenberg model using a modified Lanczos method. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:1677-1682. [PMID: 9939817 DOI: 10.1103/physrevb.34.1677] [Citation(s) in RCA: 87] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Soos ZG, Kuwajima S, Harding RH. Theory of charge–transfer excitations at the neutral–ionic interface. J Chem Phys 1986. [DOI: 10.1063/1.451585] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Okamoto K, Nishimori H, Taguchi Y. A Numerical Study of Spin-1/2 Alternating Antiferromagnetic Heisenberg Linear Chains. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 1986. [DOI: 10.1143/jpsj.55.1458] [Citation(s) in RCA: 34] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Kiyomi Okamoto
- Department of Physics, Faculty of Science, Tokyo Institute of Technology
| | | | - Yoshihiro Taguchi
- Department of Physics, Faculty of Science, Tokyo Institute of Technology
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Spronken G, Fourcade B, Lépine Y. Finite-size study of the one-dimensional spin-(1/2) dimerized Heisenberg chain. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:1886-1903. [PMID: 9938499 DOI: 10.1103/physrevb.33.1886] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Ramasesha S, Soos ZG. Static spin correlations in alternant quantum cell models. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 32:5368-5374. [PMID: 9937753 DOI: 10.1103/physrevb.32.5368] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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