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We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

We study the $S>1/2$ antiferromagnetic Heisenberg model on the 1/5-depleted square lattice as a function of the ratio of the intra-plaquette coupling to the inter-plaquette coupling. Using stochastic series expansion quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-09-08 Jun-Han Huang , Zenan Liu , Han-Qing Wu , Dao-Xin Yao

The power of machine learning algorithms to automatically classify different phases of matter and detect quantum phase transitions without necessity to characterize phases by various quantities like local order parameters or topological…

Strongly Correlated Electrons · Physics 2021-03-15 Tanja Duric

We study the critical properties in cubic systems of antiferromagnetically coupled spin dimers near magnetic-field induced quantum phase transitions. The quantum critical points in the zero-temperature phase diagrams are determined from…

Strongly Correlated Electrons · Physics 2009-11-10 Omid Nohadani , Stefan Wessel , Stephan Haas

We examine the ground-state phase diagram and thermal phase transitions in a plaquettized fully frustrated bilayer spin-1/2 Heisenberg model. Based on a combined analysis from sign-problem free quantum Monte Carlo simulations, perturbation…

Strongly Correlated Electrons · Physics 2022-12-28 Lukas Weber , Antoine Yves Dimitri Fache , Frédéric Mila , Stefan Wessel

Magnetic phase transition (MPT) to magnetic quasi-long-range order (QLRO) phase in a three-dimensional Heisenberg weak (D/J=4) random anisotropy (RA) model is investigated by Monte Carlo simulation. The isotropic and cubic distributions of…

Statistical Mechanics · Physics 2009-03-23 Ha M. Nguyen , Pai-Yi Hsiao

We present an extensive numerical study of the critical behavior of dimer models in three dimensions, focusing on the phase transition between Coulomb and crystalline columnar phases. The case of attractive interactions between parallel…

Strongly Correlated Electrons · Physics 2015-03-17 D. Charrier , F. Alet

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

Strongly Correlated Electrons · Physics 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

We study the S=1/2 Heisenberg antiferromagnet on a square lattice with nearest-neighbor and plaquette four-spin exchanges (introduced by A.W. Sandvik, Phys. Rev. Lett. {\bf 98}, 227202 (2007).) This model undergoes a quantum phase…

Strongly Correlated Electrons · Physics 2009-11-14 Valeri N. Kotov , Dao-Xin Yao , A. H. Castro Neto , D. K. Campbell

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

Statistical Mechanics · Physics 2022-03-14 Mouhcine Azhari , Unjong Yu

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints. Obtaining generic solutions for these models is difficult due to the lack of controlled methods to solve them in the thermodynamic limit.…

Strongly Correlated Electrons · Physics 2024-06-12 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

The spin-1/2 Heisenberg antiferromagnet on the distorted honeycomb (DHC) lattice is studied by means of the tensor renormalization group method. It is unveiled that the system has a quantum phase transition of second-order between the…

Strongly Correlated Electrons · Physics 2010-06-07 Wei Li , Shou-Shu Gong , Yang Zhao , Gang Su

By developing a cluster sampling of stochastic series expansion quantum Monte Carlo method, we investigate a spin-$1/2$ model on a bilayer square lattice with intra-layer ferromagnetic (FM) Ising coupling and inter-layer antiferromagnetic…

Quantum Physics · Physics 2023-05-10 Siying Wu , Binbin Yin , Xiaoxue Ran , Qi-Fang Li , Bin-Bin Mao , Yan-Cheng Wang , Zheng Yan

We report a quantum Monte Carlo study of the phase transition between antiferromagnetic and valence-bond solid ground states in the square-lattice $S=1/2$ $J$-$Q$ model. The critical correlation function of the $Q$ terms gives a scaling…

Strongly Correlated Electrons · Physics 2020-07-09 Anders W. Sandvik , Bowen Zhao

We present large-scale Monte-Carlo simulations of a two-dimensional (2d) bilayer quantum Heisenberg antiferromagnet with random dimer dilution. In contrast to the exotic scaling scenarios found in many other random quantum systems, the…

Strongly Correlated Electrons · Physics 2009-11-10 Rastko Sknepnek , Thomas Vojta , Matthias Vojta

Quantum loop and dimer models are prototypical correlated systems with local constraints, which are not only intimately connected to lattice gauge theories and topological orders but are also widely applicable to the broad research areas of…

Strongly Correlated Electrons · Physics 2024-07-01 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Rhine Samajdar , Junchen Rong , Subir Sachdev , Yang Qi , Zi Yang Meng

Motivated by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we re-investigate the phase transition of this model induced…

Strongly Correlated Electrons · Physics 2013-05-30 F. -J. Jiang

We study the critical behavior of a generalized icosahedral model on the simple cubic lattice. The field variable of the icosahedral model might take one of twelve vectors of unit length, which are given by the normalized vertices of the…

Statistical Mechanics · Physics 2020-07-13 Martin Hasenbusch

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Kato , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato