SOME ASPECTS OF NONLINEAR LATTICE MODELS

1981 ◽  
Vol 42 (C6) ◽  
pp. C6-111-C6-118 ◽  
Author(s):  
H. Büttner ◽  
H. Bilz
Keyword(s):  
Lattice Models ◽  
Nonlinear Lattice

scholarly journals Nonlinear lattice models for biopolymers: Dynamical coupling to a ionic cloud and application to actin filaments

2011 ◽  
Vol 4 (5) ◽  
pp. 1147-1166
Author(s):  
Cynthia Ferreira ◽  
◽  
Guillaume James ◽  
Michel Peyrard ◽  
◽  
...  
Keyword(s):  
Actin Filaments ◽  
Lattice Models ◽  
Ionic Cloud ◽  
Nonlinear Lattice ◽  
Dynamical Coupling

scholarly journals Arrested cracks in nonlinear lattice models of brittle fracture

1999 ◽  
Vol 60 (6) ◽  
pp. 7569-7571 ◽  
Author(s):  
David A. Kessler ◽  
Herbert Levine
Keyword(s):  
Brittle Fracture ◽  
Lattice Models ◽  
Nonlinear Lattice

scholarly journals Parafermionization, bosonization, and critical parafermionic theories

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Yuan Yao ◽  
Akira Furusaki
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Degrees Of Freedom ◽  
Lattice Models ◽  
Partition Functions ◽  
Minimal Models ◽  
Fermionic Model ◽  
Conformal Field ◽  
Critical Theories ◽  
Wigner Transformation

AbstractWe formulate a ℤk-parafermionization/bosonization scheme for one-dimensional lattice models and field theories on a torus, starting from a generalized Jordan-Wigner transformation on a lattice, which extends the Majorana-Ising duality atk= 2. The ℤk-parafermionization enables us to investigate the critical theories of parafermionic chains whose fundamental degrees of freedom are parafermionic, and we find that their criticality cannot be described by any existing conformal field theory. The modular transformations of these parafermionic low-energy critical theories as general consistency conditions are found to be unconventional in that their partition functions on a torus transform differently from any conformal field theory whenk >2. Explicit forms of partition functions are obtained by the developed parafermionization for a large class of critical ℤk-parafermionic chains, whose operator contents are intrinsically distinct from any bosonic or fermionic model in terms of conformal spins and statistics. We also use the parafermionization to exhaust all the ℤk-parafermionic minimal models, complementing earlier works on fermionic cases.

scholarly journals Calculating the polarization in bipartite lattice models: Application to an extended Su-Schrieffer-Heeger model

2021 ◽  
Vol 103 (7) ◽  
Author(s):  
Balázs Hetényi ◽  
Yetkin Pulcu ◽  
Serkan Doğan
Keyword(s):  
Lattice Models

scholarly journals Numerical Linked-Cluster Approach to Quantum Lattice Models

2006 ◽  
Vol 97 (18) ◽  
Author(s):  
Marcos Rigol ◽  
Tyler Bryant ◽  
Rajiv R. P. Singh
Keyword(s):  
Lattice Models ◽  
Cluster Approach ◽  
Quantum Lattice
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