8 citations · 27 across the 13 of their papers we have counts for
13 papers
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…
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…
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…
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…
Towards Artwork Explanation in Large-scale Vision Language Models
Kazuki Hayashi, Yusuke Sakai, Hidetaka Kamigaito +2
Large-scale Vision-Language Models (LVLMs) output text from images and instructions, demonstrating capabilities in text generation and comprehension. However, it has not been clari…
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…
SPT extension of quantum Ising model's ferromagnetic phase
Hrant Topchyan
This paper focuses on the creation of a model with explicitly defined symmetry-protected topological (SPT) phases on a triangular lattice as an extension of Ising model's fer…
and symmetry protected topological paramagnets
Hrant Topchyan, Vasilii Iugov, Mkhitar Mirumyan +3
We identify two-dimensional three-state Potts paramagnets with gapless edge modes on a triangular lattice protected by symmetry and s…
Deep Lake: a Lakehouse for Deep Learning
Sasun Hambardzumyan, Abhinav Tuli, Levon Ghukasyan +8
Traditional data lakes provide critical data infrastructure for analytical workloads by enabling time travel, running SQL queries, ingesting data with ACID transactions, and visual…
Geometry of random potentials: Induction of 2D gravity in Quantum Hall plateau transitions
Riccardo Conti, Hrant Topchyan, Roberto Tateo +1
In the context of the Integer Quantum Hall plateau transitions, we formulate a specific map from random landscape potentials onto 2D discrete random surfaces. Critical points of th…