upward

SSH model with interacting electrons

Onsite interaction

R L Frank, E H Lieb, Possible Lattice Distortions in the Hubbard Model for Graphene, PRL 107, 066801 (2011)

Su W P, Lattice relaxation of even-parity singlet excited states in polyacetylene and four-soliton bound state, PRL 74, 1167 (1995)

Baeriswyl D, Jeckelmann E, Bond alternation in pi-conjugated materials, Materials Science Forum 191, 71 (1995)

Baeriswyl D, Jeckelmann E, The Hubbard model and its application to conjugated pi-electron systems, in The Hubbard model: its physics and mathematical physics, ed Baeriswyl D etal (Springer, 1995)

Baeriswyl D, Maki K, Electron correlations in polyacetylene, PRB 31, 6633 (1985)

Campbell D K, DeGrand T A, Mazumdar S, Soliton energetics in Peierls-Hubbard models, PRL 52, 1717 (1984)

Short-range interaction

J Sous, M Chakraborty, R V Krems, M Berciu, Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling, PRL 121, 247001 (2018)

M Li, X Lin, Twin distortions of the Peierls instability, PRB 81, 153102 (2010)

Rissler J, Gebhard F, Jeckelmann E, Optical excitations of Peierls-Mott insulators with bond disorder, JPC 17, 4093 (2005)

Sugiura M, Suzumura Y, Role of repulsive interactions for the spin-Peierls transition temperature in one-dimensional half-filled electron systems, J Phys Soc Japan 72, 2706 (2003) – ionic salts

Sengupta P, Sandvik A W, Campbell D K, Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling, PRB 67, 245103 (2003)

Silva G M, Acioli P H, Dynamical effects on the competition between polarons and bipolarons in conjugated polymers, CTC 539, 45 (2001)

Silva G M, Electric-field effects on the competition between polarons and bipolarons in conjugated polymers, PRB 61, 10777 (2000)

Meider H, Springborg M, Constrained density-functional calculations for delocalized electrons: Hubbard parameters for polyacetylene, CPL 300, 339 (1999)

Shuai Z, Bredas J L, Saxena A, Bishop A R, Linear and nonlinear optical response of polyenes: A density matrix renormalization group study, JCP 109, 2549 (1998)

Shuai Z, Bredas J L, Pati S K, Ramasesha S, Exciton binding energy in the strong correlation limit of conjugated chains, PRB 58, 15329 (1998)

Jeckelmann E, Mott-Peierls transition in the extended Peierls-Hubbard model, PRB 57, 11838 (1998)

Soos Z G, Ramasesha S, Galvao D S, Band to correlated crossover in alternating Hubbard and Pariser-Parr-Pople chains: Nature of the lowest singlet excitation of conjugated polymers, PRL 71, 1609 (1993)

Kivelson S, Su W P, Schrieffer J R, Heeger A J, Missing bond-charge repulsion in the extended Hubbard model: effects in polyacetylene, PRL 58, 1899 (1987)

Coulomb interaction

Barford W, Paiboonvorachat N, Excitons in conjugated polymers: Wavefunctions, symmetries, and quantum numbers, JCP 129, 164716 (2008)

Ma H, Liu C, Jiang Y, Theoretical investigation of static characterization on nonlinear elementary excitations in trans-polyacetylene, JPCB 110, 26488 (2006)

Ma H, Cai F, Liu C, Jiang Y, Spin distribution in neutral polyene radicals: Pariser-Parr-Pople model studied with the density matrix renormalization group method, JCP 122, 104909 (2005)

Barford W, Bursill R J, Lavrentiev M Y, Density-matrix renormalization-group calculations of excited states of linear polyenes, PRB 63, 195108 (2001)

Forner W, Spectra of charged solitons and temperature dependence of the mobility of neutral solitons in trans-polyacetylene, IJQC 80, 153 (2000)

Forner W, Utz W, Nonlinear charge carriers in polyacetylene, J Mol Model 4, 12 (1998)

Utz W, Forner W, Polarons and bipolarons in cis-polyacetylene, PRB 57, 10512 (1998)

Abe S, Schreiber M, Su W P, Yu J, Excitons and nonlinear optical spectra in conjugated polymers, PRB 45, 9432 (1992)