Continuum model for solitons in polyacetylene

Takayama, Hajime; Lin‐Liu, Y. R.; Maki, Kazumi

doi:10.1103/physrevb.21.2388

Cited by 881 publications

(400 citation statements)

References 12 publications

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“…This problem can be solved exactly for certain special cases of the interpolating gap profiles. 50,52 For example, a kink profile with ∆(y) = ∆[cos l(θ − π/2) − i tanh(y) sin l(θ − π/2)] yields the bound-state spectrum…”

Section: A Edge Modes In Chiral Superconductorsmentioning

confidence: 99%

Paired chiral spin liquid with a Fermi surface inS=1model on the triangular lattice

et al. 2012

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Motivated by recent experiments on Ba3NiSb2O9, we investigate possible quantum spin liquid ground states for spin S = 1 Heisenberg models on the triangular lattice. We use Variational Monte Carlo techniques to calculate the energies of microscopic spin liquid wave functions where spin is represented by three flavors of fermionic spinon operators. These energies are compared with the energies of various competing three-sublattice ordered states. Our approach shows that the antiferromagnetic Heisenberg model with biquadratic term and single-ion anisotropy does not have a low-temperature spin liquid phase. However, for an SU (3)-invariant model with sufficiently strong ring-exchange terms, we find a paired chiral quantum spin liquid with a Fermi surface of deconfined spinons that is stable against all types of ordering patterns we considered. We discuss the physics of this exotic spin liquid state in relation with the recent experiment and suggest new ways to test this scenario.

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Section: A Edge Modes In Chiral Superconductorsmentioning

confidence: 99%

Paired chiral spin liquid with a Fermi surface inS=1model on the triangular lattice

et al. 2012

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“…In this context φ(x) is proportional to the dimerization pattern of the carbon-hydrogen chain [26,27]. Introduction of the disorder can of course influence the nature of the ground state [28].…”

Section: -Some Physical Applicationsmentioning

confidence: 99%

Localization Properties in One-Dimensional Disordered Supersymmetric Quantum Mechanics

Comtet¹,

Desbois²,

Monthus³

1995

Annals of Physics

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-A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential φ(x) is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the low energy behaviour is presented. Analytical and numerical results are presented in the case where the intervals over which φ(x) is kept constant are distributed according to a broad distribution. Various applications of this model are considered. IPNO/TH 94 -33APRIL 94

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“…Perhaps even more surprising and less widely appreciated is the fact that GN type models have enjoyed considerable success in describing a variety of quasi-onedimensional condensed matter systems, ranging from the Peierls-Fröhlich model [4] over ferromagnetic superconductors [5] to conducting polymers, e.g. doped trans-polyacetylene [6]. By way of example, the kink and kink-antikink baryons first derived in field theory in the chiral limit (m 0 = 0) [7] have been important for understanding the role of solitons and polarons in electrical conductivity properties of doped polymers.…”

Section: Introductionmentioning

confidence: 99%

Full phase diagram of the massive Gross–Neveu model

2006

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The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The scalar potential is given in terms of Jacobi elliptic functions. It contains three parameters which are determined by transcendental equations. Self-consistency of the scalar potential is proved. The phase diagram for non-zero bare quark mass is found to contain a kink-antikink crystal phase as well as a massive fermion gas phase featuring a cross-over from light to heavy effective fermion mass. For zero bare quark mass we recover the three known phases kink-antikink crystal, massless fermion gas, and massive fermion gas. All phase transitions are shown to be of second order. Equations for the phase boundaries are given and solved numerically. Implications on condensed matter physics are indicated where our results generalize the bipolaron lattice in non-degenerate conducting polymers to finite temperature.

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Continuum model for solitons in polyacetylene

Cited by 881 publications

References 12 publications

Paired chiral spin liquid with a Fermi surface inS=1model on the triangular lattice

Paired chiral spin liquid with a Fermi surface inS=1model on the triangular lattice

Localization Properties in One-Dimensional Disordered Supersymmetric Quantum Mechanics

Full phase diagram of the massive Gross–Neveu model

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