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Motivated by the recent experimental progress on the strong spin-orbit-coupled rare earth triangular antiferromagnet, we analyze the highly anisotropic spin model that describes the interaction between the spin-orbit-entangled Kramers'…

Strongly Correlated Electrons · Physics 2016-07-13 Yao-Dong Li , Xiaoqun Wang , Gang Chen

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

Strongly Correlated Electrons · Physics 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

Triangular-lattice systems attract a lot of attention due to various frustration-induced and strongly correlated effects. Here, we focus on the charge-ordering phenomenon by means of investigation of the extended Hubbard model with…

Strongly Correlated Electrons · Physics 2026-05-19 Aleksey Alekseev , Agnieszka Cichy , Konrad Jerzy Kapcia

Recent numerical work (Nature 464, 847 (2010)) indicates the existence of a spin liquid phase (SL) that intervenes between the antiferromagnetic and semimetallic phases of the half filled Hubbard model on a honeycomb lattice. To better…

Strongly Correlated Electrons · Physics 2011-08-18 B. K. Clark , D. A. Abanin , S. L. Sondhi

We use unrestricted Hartree-Fock, density matrix renormalization group, and variational projected entangled pair state calculations to investigate the ground state phase diagram of the triangular lattice Hubbard model at "half doping"…

Strongly Correlated Electrons · Physics 2026-01-12 Yuchi He , Roman Rausch , Matthias Peschke , Christoph Karrasch , Philippe Corboz , Nick Bultinck , S. A. Parameswaran

The existence of a gapped chiral spin liquid has been recently suggested in the vicinity of the metal-insulator transition of the Hubbard model on the triangular lattice, by intensive density-matrix renormalization group (DMRG) simulations…

Strongly Correlated Electrons · Physics 2021-11-01 Luca F. Tocchio , Arianna Montorsi , Federico Becca

Using a spin-rotation invariant six-slave boson representation, we study the square lattice Hubbard model with nearest-neighbor hopping $t$ and next-nearest neighbor hopping $t'$. We discuss the influence of $t'$ on the charge and magnetic…

Strongly Correlated Electrons · Physics 2009-10-31 Raymond Frésard , Walter Zimmermann

Charge ordering accompanied by lattice distortion in quasi-two dimensional organic conductors \theta-(ET)2X (ET=BEDT-TTF) is studied by using an extended Hubbard model with Peierls-type electron-lattice couplings within the Hartree-Fock…

Strongly Correlated Electrons · Physics 2009-11-13 Yasuhiro Tanaka , Kenji Yonemitsu

Formation of a canted spiral magnetic order is studied in the framework of a mean-field approximation of the Hubbard model. It is revealed that this magnetic state can be stabilized under certain conditions in layered systems with a…

Strongly Correlated Electrons · Physics 2014-06-18 M. A. Timirgazin , V. F. Gilmutdinov , A. K. Arzhnikov

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

Motivated by recent experiments, we consider a generic spin model in the $j_{\text{eff}}=1/2$ basis for the hyperhoneycomb and harmonic-honeycomb iridates. Based on microscopic considerations, the effect of an additional bond-dependent…

Strongly Correlated Electrons · Physics 2015-02-09 Eric Kin-Ho Lee , Yong Baek Kim

The ground--state magnetic phase diagram is investigated for the two-- and three--dimensional $t$--$t'$ Hubbard model. We take into account commensurate ferro--, antiferromagnetic, and incommensurate (spiral) magnetic phases, as well as…

Strongly Correlated Electrons · Physics 2018-04-02 P. A. Igoshev , M. A. Timirgazin , V. F. Gilmutdinov , A. K. Arzhnikov , V. Yu. Irkhin

We numerically study orders of planer type $(xy,x^2-y^2)$ quadrupoles on a triangular lattice with nearest-neighbor isotropic $J$ and anisotropic $K$ interactions. This type of quadrupoles possesses unique single-ion anisotropy proportional…

Strongly Correlated Electrons · Physics 2025-01-16 K. Hattori , T. Ishitobi , H. Tsunetsugu

We study the quantum phase transition of an $S=1/2$ anisotropic $\alpha$ $(\equiv J_z/J_{xy})$ Heisenberg antiferromagnet on a triangular lattice. We calculate the sublattice magnetization and the long-range helical order-parameter and…

Strongly Correlated Electrons · Physics 2014-11-18 Nobuo Suzuki , Fumitaka Matsubara , Sumiyoshi Fujiki , Takayuki Shirakura

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 majority of magnetic materials possess some degree of magnetic anisotropy, either at the level of a single ion, or in the exchange interactions between different magnetic ions. Where these exchange interactions are also frustrated, the…

Strongly Correlated Electrons · Physics 2011-05-18 Luis Seabra , Nic Shannon

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

We examine magnetic structures of electron systems on an extended triangular lattice that consists of two types of bond triangles with electron transfer energies t_l and t'_l (l = 1, 2, and 3), respectively. We examine the ground state in…

Strongly Correlated Electrons · Physics 2021-12-02 Yuki Kono , Hiroshi Shimahara

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

We found a plateau in the magnitude of the isolated magnetic moments as a function of the anisotropy of the transfer integral (t'/t) in the gapless quantum spin liquid (QSL) phase of an S=1/2 triangular lattice molecular solid X[Pd(dmit)2]2…

Strongly Correlated Electrons · Physics 2024-03-20 K. Ueda , S. Fujiyama , R. Kato