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We investigate quantum phase transitions for the $s=1/2$ antiferromagnetic Heisenberg model on a pyrochlore lattice. By means of a series expansion starting from isolated tetrahedra, the ground-state phase diagram is determined. When the…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

We investigate the critical scaling of the spin-1/2 antiferromagnet on the square lattice in the easy-plane (XXZ) regime, via numerical measurements of the entanglement entropy constructed from the zeroes of a polynomial ring. We relate…

Statistical Mechanics · Physics 2009-08-22 P. R. Crompton

Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin-1/2 Heisenberg model on a kagome lattice. Lattices of N={36,144,inf} sites with periodic boundary conditions are considered. For the…

Strongly Correlated Electrons · Physics 2015-05-13 G. Evenbly , G. Vidal

The spin-1/2 Heisenberg antiferromagnet on the frustrated diamond-decorated square lattice is known to feature various zero-field ground-state phases, consisting of extended monomer-dimer and dimer-tetramer ground states as well as a…

Strongly Correlated Electrons · Physics 2023-03-27 Nils Caci , Katarina Karlova , Taras Verkholyak , Jozef Strecka , Stefan Wessel , Andreas Honecker

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

Quantum Gases · Physics 2018-05-08 Ahmet Keles , Erhai Zhao

We study the quantum phase diagram of the spin-$1/2$ nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme…

Strongly Correlated Electrons · Physics 2025-12-24 Samuel Nyckees , Pratyay Ghosh , Frédéric Mila

We discuss the magnetic phases of the Hubbard model for the honeycomb lattice both in two and three spatial dimensions. A ground state phase diagram is obtained depending on the interaction strength U and electronic density n. We find a…

Strongly Correlated Electrons · Physics 2016-08-31 N. M. R. Peres , M. A. N. Araujo , Daniel Bozi

We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions between its spins. For a generic partition $(A,B)$ of the lattice…

Quantum Physics · Physics 2007-05-23 A. Hamma , R. Ionicioiu , P. Zanardi

Using the infinite Projected Entangled Pair States (iPEPS) algorithm, we study the ground-state properties of the spin-$1/2$ quantum Heisenberg antiferromagnet on the star lattice in the thermodynamic limit. By analyzing the ground-state…

Strongly Correlated Electrons · Physics 2018-10-11 Saeed S. Jahromi , Roman Orus

We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagom\'{e} lattice using the density-matrix renormalization group (DMRG) method. We find that the ground state is a magnetically disordered spin liquid,…

Strongly Correlated Electrons · Physics 2008-09-11 H. C. Jiang , Z. Y. Weng , D. N. Sheng

We use a recently developed interpretable and unsupervised machine-learning method, the tensorial kernel support vector machine (TK-SVM), to investigate the low-temperature classical phase diagram of a generalized Heisenberg-Kitaev-$\Gamma$…

Strongly Correlated Electrons · Physics 2021-09-14 Nihal Rao , Ke Liu , Marc Machaczek , Lode Pollet

The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By…

Strongly Correlated Electrons · Physics 2019-03-13 Gideon Wachtel , Dror Orgad

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

We study a two-dimensional frustrated Heisenberg antiferromagnet on the windmill lattice consisting of triangular and dual honeycomb lattice sites. In the classical ground state the spins on different sublattices are decoupled, but quantum…

Strongly Correlated Electrons · Physics 2014-03-26 Peter P. Orth , Premala Chandra , Piers Coleman , Jörg Schmalian

We show that the two-dimensional density-matrix renormalization analysis is useful to detect the symmetry breaking in the fermionic model on a triangular lattice. Under the cylindrical boundary conditions with chemical potentials on edge…

Strongly Correlated Electrons · Physics 2015-05-13 S. Nishimoto , C. Hotta

We map out the phase diagram of the one--dimensional Anderson lattice by studying the ground state magnetization as a function of band--filling using the density matrix renormalization group technique. For strong coupling, we find that the…

Condensed Matter · Physics 2009-10-28 M. Guerrero , R. M. Noack

In addition to the Kitaev ($K$) interaction, candidate Kitaev materials also possess Heisenberg ($J$) and off-diagonal symmetric ($\Gamma$) couplings. We investigate the quantum ($S = 1/2$) $K$-$J$-$\Gamma$ model on the honeycomb lattice by…

Strongly Correlated Electrons · Physics 2019-11-14 Jiucai Wang , B. Normand , Zheng-Xin Liu

We study the magnetic phase diagram of spin-3/2 fermions in a spatially anisotropic square optical lattice at quarter filling (corresponding to one particle per lattice site). In the limit of the large on-site repulsion the system can be…

Quantum Gases · Physics 2011-03-31 A. K. Kolezhuk , T. Vekua

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic…

Strongly Correlated Electrons · Physics 2017-11-01 Ido Niesen , Philippe Corboz

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima
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