42 citations · 78 across the 12 of their papers we have counts for
14 papers
Anizotropic Ising Model on 2D Kagomé Lattice as an Inhomogeneous XYZ Integrable Model
Shahane A. Khachatryan, Hrachya Babujian, Ara G. Sedrakyan
We investigate a generalized inhomogeneous two-dimensional Ising model on the kagomé lattice with two alternating couplings and , , along the three lattice dir…
Static and Ensemble-Dependent Thermodynamics of the Strain-Induced Parity Anomaly in Gapped Graphene
Ara Sedrakyan, Klaus Ziegler
A static deformation of graphene can act on its Dirac electrons as a valley-odd magnetic field. In sublattice-gapped graphene this field makes the two valleys add in the parity-odd…
Thermal effect on the anomaly-induced electromechanical response in gapped graphene
A. Sedrakyan, K. Ziegler
Mechanical deformation of gapped graphene can act on Dirac quasiparticles as an emergent gauge field. When this deformation field couples to the same current as the electromagnetic…
Inhomogeneous Ising Model on 2D kagomé Lattice: Fermionic field approach
Shahane A. Khachatryan, Zhidong Zhang, Ara G. Sedrakyan
We investigate the two-dimensional inhomogeneous Ising model (2DIM) on the kagom'e lattice by mapping it onto a particular non-symmetric eight-vertex model and constructing the cor…
Spin Quantum Hall Effect: the Critical Exponents
Hrant Topchyan, Win Nuding, Andreas Klümper +1
The spin quantum Hall effect (SQHE) provides one of the few examples of an Anderson localization transition for which exact critical exponents are known, making it an important tes…
Statistical properties of quadrangular surfaces
Hrant Topchyan, Rudik Badalyan, Ara Sedrakyan
We investigate the statistical properties of random quadrangular surfaces generated by different randomization procedures: the Gruzberg-Klümper-Nuding-Sedrakyan (GKNS) construction…
Finite-frequency anomaly-induced electromechanical response of Dirac fermions in deformed graphene
Ara Sedrakyan
A deformation of a graphene sheet changes more than the positions of the atoms. In the low-energy Dirac theory it also produces geometric electron-phonon vertices. One of these ver…
Topological edge states in two-dimensional Potts paramagnet protected by the symmetry
Hrant Topchyan, Tigran Hakobyan, Mkhitar Mirumyan +2
We construct a two-dimensional bosonic symmetry-protected topological (SPT) paramagnet protected by an on-site symmetry, starting from a three-component…
Harris-Luck criterion in the plateau transition of the Integer Quantum Hall Effect
Hrant Topchyan, Win Nuding, Andreas Klümper +1
The Harris criterion imposes a constraint on the critical behavior of a system upon introduction of new disorder, based on its dimension and localization length exponent . I…
The integer quantum Hall transition: an -matrix approach to random networks
Hrant Topchyan, Ilya Gruzberg, Win Nuding +2
In this paper we propose a new -matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work 10.1103/PhysRevB.9…
Two-dimensional topological paramagnets protected by symmetry: Properties of the boundary Hamiltonian
Hrant Topchyan, Vasilii Iugov, Mkhitar Mirumyan +3
We systematically study gapless edge modes corresponding to symmetry-protected topological (SPT) phases of two-dimensional three-state Potts paramagnets on a triangu…
Random network models with variable disorder of geometry
Andreas Klümper, Win Nuding, Ara Sedrakyan
Recently it was shown (I.A.Gruzberg, A. Klümper, W. Nuding and A. Sedrakyan, Phys.Rev.B 95, 125414 (2017)) that taking into account random positions of scattering nodes in the netw…
Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
Ilya Gruzberg, Andreas Kluemper, Win Nuding +1
Recent high-precision results for the critical exponent of the localization length at the integer quantum Hall (IQH) transition differ considerably between experimental ($ν_\text{e…
Multi-leg integrable ladder models
D. Arnaudon, A. Sedrakyan, T. Sedrakyan
We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directi…