scholarly journals Numerical linked-cluster expansions for disordered lattice models

2019 ◽  
Vol 99 (20) ◽  
Author(s):  
M. D. Mulanix ◽  
Demetrius Almada ◽  
Ehsan Khatami
Keyword(s):  
Lattice Models ◽  
Cluster Expansions ◽  
Disordered Lattice

scholarly journals Fracture size effects from disordered lattice models

2008 ◽  
Vol 154 (1-2) ◽  
pp. 51-59 ◽  
Author(s):  
Mikko J. Alava ◽  
Phani K. V. V. Nukala ◽  
Stefano Zapperi
Keyword(s):  
Size Effects ◽  
Lattice Models ◽  
Disordered Lattice ◽  
Fracture Size

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
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