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We explore the ferromagnetic quantum critical point in a three-dimensional semimetallic system with upward- and downward-dispersing bands touching at the Fermi level. Evaluating the static spin susceptibility to leading order in the…

Strongly Correlated Electrons · Physics 2015-07-29 James M. Murray , Oskar Vafek , Leon Balents

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

We study the phase diagram of the fermionic Hubbard model on the hexagonal lattice in the space of on-site and nearest neighbor couplings with Hybrid-Monte-Carlo simulations. With pure on-site repulsion this allows to determine the critical…

High Energy Physics - Lattice · Physics 2016-11-02 Pavel Buividovich , Dominik Smith , Maksim Ulybyshev , Lorenz von Smekal

We analyze several properties of the lattice solitons in the incommensurate phase of spin-Peierls systems using exact diagonalization and quantum Monte Carlo. These systems are modelled by an antiferromagnetic Heisenberg chain with nearest…

Condensed Matter · Physics 2009-10-30 A. E. Feiguin , J. A. Riera , A. Dobry , H. A. Ceccatto

We consider the magnetic phase diagram of the two-dimensional Hubbard model on a square lattice. We take into account both spiral and collinear incommensurate magnetic states. The possibility of phase separation of spiral magnetic phases is…

Strongly Correlated Electrons · Physics 2011-09-13 M. A. Timirgazin , A. K. Arzhnikov , A. V. Vedyayev

The spin-$1/2$ Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices is emerging as a new paradigmatic model of frustrated quantum magnetism, with the potential to realize intricate many-body phases on both mineral…

Strongly Correlated Electrons · Physics 2025-06-09 Philipp Schmoll , Jan Naumann , Erik Lennart Weerda , Jens Eisert , Yasir Iqbal

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

Strongly Correlated Electrons · Physics 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

We have explored the magnetic excitation spectrum of the S=1/2 square lattice Heisenberg antiferromagnet, K2V3O8 using both triple-axis and time-of-flight inelastic neutron scattering. The long-wavelength spin waves are consistent with the…

Strongly Correlated Electrons · Physics 2015-06-25 M. D. Lumsden , S. E. Nagler , B. C. Sales , D. A. Tennant , D. F. McMorrow , S. -H. Lee , S. Park

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet…

Strongly Correlated Electrons · Physics 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

By exploiting density-matrix renormalization group techniques, we investigate the dynamical spin structure factor of a spin-1/2 Heisenberg chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange…

Strongly Correlated Electrons · Physics 2015-07-17 Hiroaki Onishi

The spin-S Heisenberg antiferromagnet on the two-dimensional lattice is investigated for S=1/2 and S=1. We consider interaction at isolated dimers ($J_{\rm d}$) and interaction bonds that form the bounce lattice ($J_{\rm b}$). For $J_{\rm…

Materials Science · Physics 2026-04-28 Hiroki Nakano , Toru Sakai

We study the Heisenberg antiferromagnet on the maple-leaf lattice using several numerical approaches, focusing on the numerical linked-cluster expansion (NLCE), which exhibits an unconventional convergence extending to low and even zero…

Strongly Correlated Electrons · Physics 2026-04-07 Robin Schäfer , Paul L. Ebert , Noah Hassan , Johannes Reuther , David J. Luitz , Alexander Wietek

We study Heisenberg spin-1/2 and spin-1 chains with alternating ferromagnetic ($J_1^F$) and antiferromagnetic ($J_1^A$) nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction ($J_2^F$). In this model frustration…

Strongly Correlated Electrons · Physics 2014-06-19 Shaon Sahoo , V. M. L. Durga Prasad Goli , Diptiman Sen , S. Ramasesha

We use the coupled cluster method implemented to high orders of approximation to investigate the frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$ antiferromagnet on the honeycomb lattice with isotropic Heisenberg interactions of…

Strongly Correlated Electrons · Physics 2016-01-06 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter , C. E. Campbell

Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. % As in many Fully Frustrated Lattices, the constraint due to the…

Strongly Correlated Electrons · Physics 2009-11-07 Benjamin Canals , Dmitry Garanin

We use the coupled cluster method (CCM) to study a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ Heisenberg antiferromagnet on a bilayer honeycomb lattice with $AA$ stacking. Both nearest-neighbor (NN) and frustrating…

Strongly Correlated Electrons · Physics 2018-07-09 P. H. Y. Li , R. F. Bishop

We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

Strongly Correlated Electrons · Physics 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

We study the spin-$1\over2$ Heisenberg antiferromagnet with an antiferromagnetic $J_3$ (third nearest neighbor) interaction on a square lattice. We numerically diagonalize this ``$J_1$-$J_3$'' model on clusters up to 32-sites and search for…

Condensed Matter · Physics 2009-10-28 P. W. Leung , Ngar-wing Lam

We present an exact diagonalization study on layered $J_{1}-J_{2}$ antiferromagnetic Heisenberg spin model to examine the role of frustration induced by inplane next-nearest neighbor coupling $J_{2}$, in presence of interlayer…

Statistical Mechanics · Physics 2016-04-05 Md Mahfoozul Haque , M. A. H. Ahsan , Jamal Berakdar , Dipan K Ghosh