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 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 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

scholarly journals Fractional Diffusion Equations for Lattice and Continuum: Grünwald-Letnikov Differences and Derivatives Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Vasily E. Tarasov
Keyword(s):  
Fractional Derivatives ◽  
Three Dimensional ◽  
Lattice Models ◽  
Fractional Diffusion ◽  
Lattice Diffusion ◽  
Diffusion Equations ◽  
Difference Operators ◽  
Fractional Diffusion Equations ◽  
Nonlocal Media ◽  
Derivatives Of

Fractional diffusion equations for three-dimensional lattice models based on fractional-order differences of the Grünwald-Letnikov type are suggested. These lattice fractional diffusion equations contain difference operators that describe long-range jumps from one lattice site to another. In continuum limit, the suggested lattice diffusion equations with noninteger order differences give the diffusion equations with the Grünwald-Letnikov fractional derivatives for continuum. We propose a consistent derivation of the fractional diffusion equation with the fractional derivatives of Grünwald-Letnikov type. The suggested lattice diffusion equations can be considered as a new microstructural basis of space-fractional diffusion in nonlocal media.

Simulation of polymer chain dynamics by lattice models with excluded volume: lattice dependence

1987 ◽  
Vol 20 (6) ◽  
pp. 1362-1368 ◽  
Author(s):  
Peter H. Verdier ◽  
David E. Kranbuehl
Keyword(s):  
Polymer Chain ◽  
Lattice Models ◽  
Excluded Volume ◽  
Chain Dynamics

Computer simulation of shape relaxation in cubic lattice models of linear polymers

1991 ◽  
Vol 24 (5) ◽  
pp. 1205-1206 ◽  
Author(s):  
Thomas D. Hahn ◽  
E. Todd Ryan ◽  
Jeffrey Kovac
Keyword(s):  
Computer Simulation ◽  
Lattice Models ◽  
Linear Polymers ◽  
Cubic Lattice
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