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Using the numerical modular bootstrap, we constrain the space of 1+1d CFTs with a finite non-invertible global symmetry described by a fusion category $\mathcal{C}$. We derive universal and rigorous upper bounds on the lightest…

High Energy Physics - Theory · Physics 2023-07-12 Ying-Hsuan Lin , Shu-Heng Shao

We demonstrate how the spin-1/2 XYZ quantum Heisenberg model can be realized with bosonic atoms loaded in the p band of an optical lattice in the Mott regime. The combination of Bose statistics and the symmetry of the p-orbital wave…

Quantum Gases · Physics 2013-11-22 Fernanda Pinheiro , Georg M. Bruun , Jani-Petri Martikainen , Jonas Larson

We analyze the internal symmetries and their anomalies in the Kitaev spin-$S$ models. Importantly, these models have a lattice version of a $\mathbb{Z}_2$ 1-form symmetry, denoted by $\mathbb{Z}_2^{[1]}$. There is also an ordinary 0-form…

Strongly Correlated Electrons · Physics 2024-04-16 Ruizhi Liu , Ho Tat Lam , Han Ma , Liujun Zou

We apply a random-plaquette $J_1$-$J_2$ model on the square lattice to capture the physics of a series of spin-$1/2$ Heisenberg antiferromagnet compounds Sr$_2$CuTe$_{1-x}$W$_x$O$_6$. With the input of experimentally relevant coupling…

Strongly Correlated Electrons · Physics 2024-07-09 Dian Wu , Fan Yang , Giuseppe Carleo

We study the nearest neighboring spin-1/2 Kitaev-Heisenberg-Gamma ($KJ\Gamma$) model on the honeycomb lattice in the parameter region of ferromagnetic (FM) Kitaev and antiferromagnetic (AFM) Heisenberg couplings relevant for honeycomb…

Strongly Correlated Electrons · Physics 2022-07-06 Wang Yang , Alberto Nocera , Chao Xu , Hae-Young Kee , Ian Affleck

In this work, we study the spin-1/2 Kitaev chain with additional XX and symmetric off-diagonal Gamma interactions. By a combination of Jordan-Wigner transformation and density matrix renormalization group (DMRG) numerical simulations, we…

Strongly Correlated Electrons · Physics 2025-12-25 Zebin Zhuang , Wang Yang

We study the XXZ Heisenberg model in a longitudinal magnetic field using a tensor renormalization method. Built into the tensor representation of the XXZ model is the U(1) symmetry, which is systematically maintained at each renormalization…

Strongly Correlated Electrons · Physics 2020-03-10 Mykhailo V. Rakov , Michael Weyrauch

Comparing numerically evaluated excitation gaps of dimerized spin-1/2 XXZ chains with the gap formula for the low-energy effective sine-Gordon theory, we determine coefficients d_xy and d_z of bosonized dimerization operators in spin-1/2…

Strongly Correlated Electrons · Physics 2010-12-23 Shintaro Takayoshi , Masahiro Sato

Based on our recent findings regarding (non-)renormalizability of non-commutative U*(1) gauge theories [arxiv:0908.0467, arxiv:0908.1743] we present the construction of a new type of model. By introducing a soft breaking term in such a way…

High Energy Physics - Theory · Physics 2014-11-20 Daniel N. Blaschke , Arnold Rofner , Rene I. P. Sedmik , Michael Wohlgenannt

We investigate the zero-magnetization phase diagram of a spin-1/2 chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange couplings in the strongly interacting regime. Using density matrix…

Strongly Correlated Electrons · Physics 2026-05-21 Julien Fitouchi , Natalia Chepiga

The spin-boson model has nontrivial quantum phase transitions at zero temperature induced by the spin-boson coupling. The bosonic numerical renormalization group (BNRG) study of the critical exponents $\beta$ and $\delta$ of this model is…

Strongly Correlated Electrons · Physics 2015-05-19 Yan-Hua Hou , Ning-Hua Tong

We propose a new approach to solve conformal field theories and apply it to Chern-Simons Matter theories and three-dimensional bosonization duality. All three-point correlation functions of single-trace operators are obtained in the…

High Energy Physics - Theory · Physics 2022-07-14 Evgeny D. Skvortsov

We consider the ground-state phase diagram of a one-dimensional spin-1/2 XXZ chain with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of applied along with the $\hat{z}$ axis alternating magnetic field. The model is…

Strongly Correlated Electrons · Physics 2021-08-04 G. I. Japaridze , H. Cheraghi , S. Mahdavifar

The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop…

High Energy Physics - Theory · Physics 2009-10-31 M. Gomes , L. C. Malacarne , A. J. da Silva

We discuss symmetry fractionalization of the Lorentz group in (2+1)$d$ non-spin quantum field theory (QFT), and its implications for dualities. We prove that two inequivalent non-spin QFTs are dual as spin QFTs if and only if they are…

Strongly Correlated Electrons · Physics 2020-02-10 Po-Shen Hsin , Shu-Heng Shao

From general arguments, that are valid for spin models with sufficiently short-range interactions, we derive strong constraints on the excitation spectrum across a continuous phase transition at zero temperature between a magnetic and a…

Strongly Correlated Electrons · Physics 2009-11-11 Leonardo Spanu , Federico Becca , Sandro Sorella

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic phases and unusual excitations. In this work, we study the…

Strongly Correlated Electrons · Physics 2024-07-12 Qiang Luo , Jize Zhao , Jinbin Li , Xiaoqun Wang

The effects of quantum fluctuations due to directional anisotropy and frustration between nearest neighbors and next-nearest neighbors of the quantum spin-1/2 Heisenberg antiferromagnet on a square lattice are investigated using spin-wave…

Strongly Correlated Electrons · Physics 2010-10-06 Kingshuk Majumdar

Using the expansion of Zubarev's density operator, we develop a linear response approach to study various spin physics in a locally equilibrated medium, particularly focusing on various polarization phenomena in heavy-ion collisions.…

Nuclear Theory · Physics 2025-01-30 Youyu Li , Shuai Y. F. Liu

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

Strongly Correlated Electrons · Physics 2018-10-03 Urban F. P. Seifert , Julian Gritsch , Erik Wagner , Darshan G. Joshi , Wolfram Brenig , Matthias Vojta , Kai P. Schmidt