most citedThe integer quantum Hall transition: an -matrix approach to random networks

3 citations · 3 across the 5 of their papers we have counts for

collaborators

9 papers

cond-mat.dis-nn2026

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…

cond-mat.stat-mech2026

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) constructio…

cond-mat.str-el2026

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…

cond-mat.dis-nn20263 cited

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…

cond-mat.str-el2026

Nucleation of Sachdev-Ye-Kitaev Clusters in One Spatial Dimension

Hrant Topchyan, Tigran A. Sedrakyan

We study how Sachdev-Ye-Kitaev (SYK) interactions can arise from localized single-particle states on a system that is effectively one dimensional. If a local interaction is project…

cond-mat.str-el2026

The symmetry protected boundary modes in two-dimensional Potts paramagnets

Hrant Topchyan

We construct and analyze a class of one-dimensional boundary Hamiltonians arising from two-dimensional symmetry-protected topological phases with symmetry…