Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Klevtsov, Semyon"'
Autor:
Burban, Igor, Klevtsov, Semyon
The goal of this paper is to give an explicit computation of the curvature of the magnetic vector bundle of the multi-layer model of the fractional quantum Hall effect on a torus. We also obtain concrete formulae for the norms of the corresponding wa
Externí odkaz:
http://arxiv.org/abs/2404.01108
Autor:
Burban, Igor, Klevtsov, Semyon
In 1993 Keski-Vakkuri and Wen introduced a model for the fractional quantum Hall effect based on multilayer two-dimensional electron systems satisfying quasi-periodic boundary conditions. Such a model is essentially specified by a choice of a complex
Externí odkaz:
http://arxiv.org/abs/2309.04866
Publikováno v:
Phys. Rev. Research 5, 023167 (2023)
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this work we disprove this common lore by presenting a theory for all topological
Externí odkaz:
http://arxiv.org/abs/2210.13487
Publikováno v:
Phys. Rev. Research 5, 023042 (2023)
We study four-dimensional fractional quantum Hall states on CP2 geometry from microscopic approaches. While in 2d the standard Laughlin wave function, given by a power of Vandermonde determinant, admits a product representation in terms of the Jastro
Externí odkaz:
http://arxiv.org/abs/2109.11522
Autor:
Klevtsov, Semyon, Zvonkine, Dimitri
Publikováno v:
Phys. Rev. Lett. 128, 036602 (2022)
We generalize the flux insertion argument due to Laughlin, Niu-Thouless-Tao-Wu, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a higher-genus surface. We propose this setting as a test to characterise the robustness, or topo
Externí odkaz:
http://arxiv.org/abs/2105.00989
Autor:
Nemkov, Nikita, Klevtsov, Semyon
We consider the generating functional (logarithm of the normalization factor) of the Laughlin state on a sphere, in the limit of a large number of particles $N$. The problem is reformulated in terms of a perturbative expansion of a 2d QFT, resembling
Externí odkaz:
http://arxiv.org/abs/2011.13911
Autor:
Dwivedi, Vatsal, Klevtsov, Semyon
Publikováno v:
Phys. Rev. B 99, 205158 (2019)
We define and study the Pfaffian state on Riemann surfaces with arbitrary metrics and an inhomogeneous magnetic field and derive its universal transport coefficients. Following a path integral approach, we compute the generating functional which enco
Externí odkaz:
http://arxiv.org/abs/1902.09563
Autor:
Klevtsov, Semyon
Publikováno v:
Commun. Math. Phys. 367 (2019) 837-871
Considering quantum Hall states on geometric backgrounds has proved over the past few years to be a useful tool for uncovering their less evident properties, such as gravitational and electromagnetic responses, topological phases and novel geometric
Externí odkaz:
http://arxiv.org/abs/1712.09980
Publikováno v:
Indiana Univ. Math. J. 68 (2019), no. 2, 593-628
We consider singular metrics on a punctured Riemann surface and on a line bundle and study the behavior of the Bergman kernel in the neighbourhood of the punctures. The results have an interpretation in terms of the asymptotic profile of the density
Externí odkaz:
http://arxiv.org/abs/1612.09197
Autor:
Klevtsov, Semyon
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 234003
We consider the integer QH state on Riemann surfaces with conical singularities, with the main objective of detecting the effect of the gravitational anomaly directly from the form of the wave function on a singular geometry. We suggest the formula e
Externí odkaz:
http://arxiv.org/abs/1609.08587