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We introduce a spin-1/2 model in three dimensions which is a generalization of the well-known Kitaev model on a honeycomb lattice. Following Kitaev, we solve the model exactly by mapping it to a theory of non-interacting fermions in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Saptarshi Mandal , Naveen Surendran

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

Using large-scale density-matrix renormalization group calculations and minimally augmented spin-wave theory, we demonstrate that the phase diagram of the quantum $S\!=\!\frac12$ $J_1$--$J_3$ ferro-antiferromagnetic model on the honeycomb…

Strongly Correlated Electrons · Physics 2025-04-22 Shengtao Jiang , Steven R. White , A. L. Chernyshev

The ground-state phase diagram of $S=2$ antiferromagnetic Heisenberg chains with coexisting uniform and alternating single-site anisotropies is investigated by the numerical exact diagonalization and density matrix renormalization group…

Strongly Correlated Electrons · Physics 2014-02-18 Kazuo Hida

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work we study the antiferromagnetic Ising model on the three dimensional swedenborgite lattice which is a specific stacking of…

Strongly Correlated Electrons · Physics 2014-10-01 Stefan Buhrandt , Lars Fritz

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap distribution and the string order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 Kazuo Hida

We investigate the spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice in an external magnetic field. By combining density-matrix renormalization group, sign-problem-free quantum Monte Carlo in a mixed…

Statistical Mechanics · Physics 2026-03-03 Katarina Karlova , Jozef Strecka

We study the spin-$1$ model in a triangular lattice in presence of a uniaxial anisotropy field using a Cluster Mean-Field approach (CMF). The interplay between antiferromagnetic exchange, lattice geometry and anisotropy forces Gutzwiller…

Strongly Correlated Electrons · Physics 2015-06-18 M. Moreno-Cardoner , H. Perrin , S. Paganelli , G. De Chiara , A. Sanpera

We study, within the Schwinger-boson approach, the ground-state structure of two Heisenberg antiferromagnets on the triangular lattice: the J1-J2 model, which includes a next-nearest-neighbor coupling J2, and the spatially-anisotropic…

Statistical Mechanics · Physics 2009-10-31 L. O. Manuel , H. A. Ceccatto

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges.…

Condensed Matter · Physics 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , H. R. Krishnamurthy , S. Ramasesha

We consider 2D Heisenberg antiferromagnets on a triangular lattice with spatially anisotropic interactions in a high magnetic field close to the saturation. We show that this system possess rich phase diagram in field/anisotropy plane due…

Strongly Correlated Electrons · Physics 2014-08-25 Oleg A. Starykh , Wen Jin , Andrey V. Chubukov

The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically…

Strongly Correlated Electrons · Physics 2024-08-01 Matthias Gohlke , Jose Carlos Pelayo , Takafumi Suzuki

Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

Statistical Mechanics · Physics 2013-01-31 Jana Cisarova , Jozef Strecka

The coupled cluster method (CCM) is applied to the spin-one anisotropic Heisenberg antiferromagnet (HAF) on the square lattice at zero temperature using a new high-order CCM ground-state formalism for general quantum spin number ($s \ge…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , K. A. Gernoth , R. F. Bishop

By using the density matrix renormalization group method, we investigate ground- and excited-state properties of the e_g-orbital degenerate Hubbard model at quarter filling for two kinds of lattices, zigzag chain and ladder. In the zigzag…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroaki Onishi , Takashi Hotta

In this work, we analyze the nonsymmorphic symmetry group structures for a variety of generalized Kitaev spin chains and ladders with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma chain, beyond nearest neighbor…

Strongly Correlated Electrons · Physics 2022-08-24 Wang Yang , Alberto Nocera , Paul Herringer , Robert Raussendorf , Ian Affleck

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numerical-diagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice. It is known that when…

Strongly Correlated Electrons · Physics 2018-09-03 Toru Sakai , Hiroki Nakano

We study the ground-state properties of a family of frustrated spin-1/2 Heisenberg models on two- and three-dimensional decorated lattices composed of connected star-shaped units. Each star is built from edge-sharing triangles with an…

Strongly Correlated Electrons · Physics 2026-02-10 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

We microscopically analyze the nearest neighbor Heisenberg model on the maple-leaf lattice through neural quantum states (NQS) and infinite density matrix renormalization group (iDMRG). Embarking to parameter regimes beyond the exact dimer…

Strongly Correlated Electrons · Physics 2024-11-12 Jonas Beck , Jonathan Bodky , Johannes Motruk , Tobias Müller , Ronny Thomale , Pratyay Ghosh