CMP-MLの皆様
東京大学物性研究所の森田と申します．
下記の通り，12月3日 (金) に物性研究所理論セミナーを開催いたします．
オンラインでの開催となりますので，下記リンクにて事前登録をお願いいたします．
forms.gle/TzLLtd5evRnsASYq5
皆様のご参加をお待ちしております．
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Date: Dec. 3 (Fri.), 2021 16:00-17:00
Place: On Zoom (Access information will be provided to you after the
registration)
Speaker: Prof. Naoki Kawashima (ISSP, The University of Tokyo)
Title: Loops in classical and quantum statistical-mechanical models
Abstract:
Various statistical-mechanical systems can be represented in terms of loop
graphs. A classical example is the low-temperature expansion of the Ising
model in two dimensions, which is identical to the simplest (i.e.,
mono-color) loop gas model. Quantum many-body systems may also be
represented by a loop gas. As is well-known, the D-dimensional XXZ quantum
spin model, for example, can be mapped, through the path integral
representation, to a (D+1)-dimensional classical loop gas model, which is
the basis of quantum Monte Carlo method. A few years ago, we found [1] that
the Kitaev spin liquid on a honeycomb lattice is adiabatically connected to
a quantum state represented by a 2D (not 3D) classical mono-color loop gas.
This is consistent with the Ising CFT characterizing the 2D Dirac electrons.
Recently, we found [2] another 2D quantum system that has a representation
as a 2D classical loop gas model. Every loop in this classical system has
two colors. Accordingly, this system exhibits the KT transition.
[1] Hyun-Yong Lee, Ryui Kaneko, Tsuyoshi Okubo, Naoki Kawashima: Phys.
Rev. Lett. 123, 087203 (2019).
[2] Hosho Katsura, Naoki Kawashima, Satoshi Morita, Akinori Tanaka and
Hal Tasaki: Phys. Rev. Res. 3, 033190 (2021)
Please access the following URL of registration.
forms.gle/TzLLtd5evRnsASYq5
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—
Satoshi Morita (森田 悟史)
The Institute for Solid State Physics, The University of Tokyo
kawashima.issp.u-tokyo.ac.jp/people/morita/
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