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Spin systems with frustrated anisotropic interactions are of significant interest due to possible exotic ground states. We have explored their phase diagram on a nearest-neighbor triangular lattice using the density-matrix renormalization…

Strongly Correlated Electrons · Physics 2018-05-17 Zhenyue Zhu , P. A. Maksimov , Steven R. White , A. L. Chernyshev

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 dynamical structure factor is an important observable of quantum magnets but due to numerical and theoretical limitations, it remains a challenge to make predictions for Hubbard-like models beyond one dimension. In this work, we study…

Strongly Correlated Electrons · Physics 2023-03-01 Josef Willsher , Hui-Ke Jin , Johannes Knolle

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

Strongly Correlated Electrons · Physics 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

Building on the results of Ref. \cite{faye2018phase}, which identified an antiferromagnetic and Kondo singlet phases on the Kondo-Hubbard square lattice, we use the variational cluster approximation (VCA) to investigate the competition…

Strongly Correlated Electrons · Physics 2022-01-26 Oumar Ndiaye , Djicknack Dione , Alassane Traor/'e , Sadikh Ababacar Ndao , Jean Paul Latyr Faye

We investigate the anisotropic triangular lattice that interpolates from decoupled one-dimensional chains to the isotropic triangular lattice and has been suggested to be relevant for various quasi-two-dimensional materials, such as…

Strongly Correlated Electrons · Physics 2009-07-17 Dariush Heidarian , Federico Becca , Sandro Sorella

Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum phases. In particular, a spin-liquid phase is present in…

Strongly Correlated Electrons · Physics 2007-05-23 M. Q. Weng , D. N. Sheng , Z. Y. Weng , Robert J. Bursill

The spin dynamics of the semiclassical Heisenberg model with uniaxial anisotropy, on the layered triangular lattice with antiferromagnetic coupling for both intralayer nearest neighbor interaction and interlayer interaction is studied both…

Strongly Correlated Electrons · Physics 2007-05-23 Ranjan Chaudhury

Recent numerical simulations find a possible chiral spin liquid state in the intermediate coupling regime of the triangular lattice Hubbard model. Here we provide a simple picture for its origin in terms of a Bosonic RVB description. More…

Strongly Correlated Electrons · Physics 2021-08-06 Qiu Zhang , Tao Li

We investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

Strongly Correlated Electrons · Physics 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

We investigate a two-dimensional single-band Hubbard model with a nearest-neighbor hopping. We treat a commensurate collinear order as well as incommensurate spiral magnetic phases at a finite temperature using a Hubbard-Stratonovich…

Strongly Correlated Electrons · Physics 2011-10-24 Anatoly Arzhnikov , Andrey Groshev

At strong repulsion, the triangular-lattice Hubbard model is described by $s=1/2$ spins with nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120$^\circ$ order. Using the infinite density matrix…

Strongly Correlated Electrons · Physics 2021-09-07 Tessa Cookmeyer , Johannes Motruk , Joel E. Moore

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

Strongly Correlated Electrons · Physics 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

We classify the order parameters on the honeycomb lattice using the SO(4) symmetry of the Hubbard model. We will focus on the topologically nontrivial quantum spin Hall order and spin triplet superconductor, which together belong to the (3,…

Strongly Correlated Electrons · Physics 2015-03-17 Cenke Xu

We study the ground-state magnetism of the half-filled Hubbard model on the anisotropic triangular lattice, where two out of three bonds have hopping $t$ and the third one has $t^\prime$ in a unit triangle. Working in a spin-rotating frame…

Strongly Correlated Electrons · Physics 2017-01-04 Shimpei Goto , Susumu Kurihara , Daisuke Yamamoto

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

We show that the spin liquid phase of the half-filled Hubbard model on the triangular lattice can be described by a pure spin model. This is based on a high-order strong coupling expansion (up to order 12) using perturbative continuous…

Strongly Correlated Electrons · Physics 2011-01-17 H-Y. Yang , A. Laeuchli , F. Mila , K. P. Schmidt

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

We study the phase diagram of the frustrated $t{-}t^\prime$ Hubbard model on the square lattice by using a novel variational wave function. Taking the clue from the backflow correlations that have been introduced long-time ago by Feynman…

Strongly Correlated Electrons · Physics 2010-09-23 Federico Becca , Luca F. Tocchio , Sandro Sorella