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Seminars Digest, Vol 53, Issue 3

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Today's Topics:

1. Friday 21.04.2023 (Serge Krashakov)

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Message: 1
Date: Tue, 18 Apr 2023 23:18:03 +0300
From: Serge Krashakov <sakr@itp.ac.ru>
To: staff@itp.ac.ru, students@itp.ac.ru, seminars@itp.ac.ru
Subject: [Landau ITP Seminars] Friday 21.04.2023
Message-ID: <932843db-d01f-ee78-209f-6ef2096c6c5b@itp.ac.ru>
Content-Type: text/plain; charset="utf-8"; Format="flowed"

Уважаемые коллеги!

На заседании Ученого совета в пятницу 21 апреля в 11:30  будет заслушан
доклад:

Геннадий Ю. Шитов (Université de Sherbrooke)
*Brane order, quantum magnetism, and partition function zeros in
modulated anisotropic ladders*

The presentation will be focused on the recent work [1] on the two-leg
spin-1/2 ladders with anisotropy and two dimerization patterns
(columnar/staggered). This model is equivalent to a modulated
interacting fermionic Kitaev ladder. The Hartree-Fock approximation
reduces the model to a sum of two quadratic effective Majorana
Hamiltonians, which can be mapped onto two transverse quantum XY chains.
This simplifies considerably calculations of the order parameters and
analysis of the hidden symmetry breaking. The ground-state phase
diagrams are found for each dimerization pattern. The diagrams contain
phases with conventional antiferromagnetism, as well all those with
non-local brane orders. We found analytically all the magnetizations and
brane order parameters for the staggered case, as functions of couplings
of the effective Hamiltonian, while the brane order parameters of the
columnar ladder are found numerically from the Toeplitz determinants.
The quantum phase transitions, disorder lines, ground-state
factorization (disentanglement), and the additional attributes of
topological order such as winding numbers and edge Majorana states, are
shown to be determined by zeros of the partition function.
1. T. Pandey and G.Y. Chitov, Phys. Rev. B 106, 094413 (2022).

ID и пароль онлайн-трансляций в Zoom те же, что и для предыдущих
трансляций докладов на Ученом совете:
https://zoom.us/j/96899364518?pwd=MzBsR2lYT0lYL2x2b1oyNU9LeWlWUT09
Meeting ID: 968 9936 4518
Пароль: 250319
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