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A central question on Kitaev materials is the effects of additional couplings on the Kitaev model which is proposed to be a candidate for realizing topological quantum computations. However, two spatial dimension typically suffers the…

强关联电子 · 物理学 2020-08-26 Wang Yang , Alberto Nocera , Ian Affleck

A minimal Kitaev-Gamma model has been recently investigated to understand various Kitaev systems. In the one-dimensional Kitaev-Gamma chain, an emergent SU(2)$_1$ phase and a rank-1 spin ordered phase with $O_h\rightarrow D_4$ symmetry…

强关联电子 · 物理学 2021-03-03 Wang Yang , Alberto Nocera , Erik S. Sørensen , Hae-Young Kee , Ian Affleck

We study the nearest neighboring spin-1/2 Kitaev-Heisenberg-Gamma ($KJ\Gamma$) model on the honeycomb lattice in the parameter region of ferromagnetic (FM) Kitaev and antiferromagnetic (AFM) Heisenberg couplings relevant for honeycomb…

强关联电子 · 物理学 2022-07-06 Wang Yang , Alberto Nocera , Chao Xu , Hae-Young Kee , Ian Affleck

In this work, we study the spin-1/2 Kitaev chain with additional XX and symmetric off-diagonal Gamma interactions. By a combination of Jordan-Wigner transformation and density matrix renormalization group (DMRG) numerical simulations, we…

强关联电子 · 物理学 2025-12-25 Zebin Zhuang , Wang Yang

We report a combined analytical and density matrix renormalized group study of the antiferromagnetic XXZ spin-1/2 Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya (DM) interaction and a transverse magnetic field. The numerically…

强关联电子 · 物理学 2018-01-04 Yang-Hao Chan , Wen Jin , Hong-Chen Jiang , Oleg A. Starykh

Finding the Kitaev spin liquid in candidate materials involves understanding the entire phase diagram, including other allowed interactions. One of these interactions, called the Gamma ($\Gamma$) interaction, causes magnetic frustration and…

强关联电子 · 物理学 2024-01-17 Erik S. Sørensen , Hae-Young Kee

Motivated by the search for unconventional orders in frustrated quantum magnets, we present a multi-method investigation into the nature of the quantum phase diagram of the spin-$1/2$ Heisenberg model on the maple-leaf lattice with three…

强关联电子 · 物理学 2026-02-26 Lasse Gresista , Dominik Kiese , Simon Trebst , Yasir Iqbal

We study spin-half and spin-one Heisenberg models in the limit where one dimensional (1-D) linear chains, with exchange constant J1, are weakly coupled in an anisotropic triangular lattice geometry. Results are obtained by means of…

强关联电子 · 物理学 2009-11-13 T. Pardini , R. R. P. Singh

We study the interplay of electric and magnetic order in the one dimensional Heisenberg spin-1/2 XXZ chain with large Ising anisotropy in the presence of the Dzyaloshinskii-Moriya (D-M) interaction and with longitudinal and transverse…

强关联电子 · 物理学 2018-02-22 Pradeep Thakur , P. Durganandini

We discuss magnetically ordered states, arising in Heisenberg-Kitaev and related spin models, on three-dimensional (3D) harmonic honeycomb lattices. For large classes of ordered states, we show that they can be mapped onto two-dimensional…

强关联电子 · 物理学 2020-01-29 Wilhelm G. F. Krüger , Matthias Vojta , Lukas Janssen

We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as…

强关联电子 · 物理学 2024-12-24 Elahe Samimi , Antonia Duft , Patrick Adelhardt , Kai Phillip Schmidt , Saeed S. Jahromi

Motivated by recent experiments on $\beta-$Li$_2$IrO$_3$, we study the phase diagram of the Heisenberg-Kitaev model on a three dimensional lattice of tri-coordinated Ir$^{4+}$, dubbed the hyperhoneycomb lattice by Takagi et. al. The lattice…

强关联电子 · 物理学 2014-01-22 Eric Kin-Ho Lee , Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

We show that the topological Kitaev spin liquid on the honeycomb lattice is extremely fragile against the second-neighbor Kitaev coupling $K_2$, which has recently been shown to be the dominant perturbation away from the nearest-neighbor…

强关联电子 · 物理学 2015-12-08 Ioannis Rousochatzakis , Johannes Reuther , Ronny Thomale , Stephan Rachel , N. B. Perkins

Motivated by intense research on two-dimensional spin-1/2 Kitaev materials, Kitaev spin chains and ladders, though geometrically limited, have been studied for their numerical simplicity and insights into extended Kitaev models. The phase…

强关联电子 · 物理学 2026-04-21 Mandev Bhullar , Haoting Xu , Hae-Young Kee

We explore the phase diagram of the Kitaev-Heisenberg model with nearest neighbor interactions on the honeycomb lattice using the exact diagonalization of finite systems combined with the cluster mean field approximation, and supplemented…

The $S=1/2$ Kitaev honeycomb model has attracted significant attention as an exactly solvable example with a quantum spin liquid ground state. In a properly oriented external magnetic field, chiral Majorana edge modes associated with a…

强关联电子 · 物理学 2022-03-23 Pedro M. Cônsoli , Eric C. Andrade

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…

强关联电子 · 物理学 2015-02-09 Eric Kin-Ho Lee , Yong Baek Kim

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic phases and unusual excitations. In this work, we study the…

强关联电子 · 物理学 2024-07-12 Qiang Luo , Jize Zhao , Jinbin Li , Xiaoqun Wang

We study the spin-half Heisenberg models on an anisotropic two-dimensional lattice which interpolates between the square-lattice at one end, a set of decoupled spin-chains on the other end, and the triangular-lattice Heisenberg model in…

强关联电子 · 物理学 2009-10-31 Zheng Weihong , Ross H. McKenzie , Rajiv R. P Singh

We consider the quasi-two-dimensional pseudo-spin-1/2 Kitaev - Heisenberg model proposed for A2IrO3 (A=Li, Na) compounds. The spin-wave excitation spectrum, the sublattice magnetization, and the transition temperatures are calculated in the…

强关联电子 · 物理学 2016-08-24 A. A. Vladimirov , D. Ihle , N. M. Plakida
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