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In addition to low-energy spin fluctuations, which distinguish them from band insulators, Mott insulators often possess orbital degrees of freedom when crystal-field levels are partially filled. While in most situations spins and orbitals…

Strongly Correlated Electrons · Physics 2012-11-28 P. Corboz , M. Lajkó , A. M. Läuchli , K. Penc , F. Mila

We study a spin model on honeycomb lattice with two types of Heisenberg exchange couplings, $J$ and $\tilde J$, where $J$ is for the conventional spin and and $\tilde J$ for rotated spin. When $\tilde J=0$, this is the conventional…

Strongly Correlated Electrons · Physics 2015-06-04 Yue Yu , Long Liang , Qian Niu , Shaojing Qin

Dual-species arrays of ultracold neutral atoms have recently attracted increased interest due to the ability to independently control different atomic species and tune the interatomic interactions. This capability provides additional…

Quantum Physics · Physics 2026-05-06 Ahmed M. Farouk , Ilya I. Beterov , Ghadeer Suliman , Junxi Chen , Igor I. Ryabtsev

We study a $\mathbb{Z}_3$ Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find evidence that, with ferromagnetic isotropic couplings, the…

Strongly Correlated Electrons · Physics 2024-04-29 Li-Mei Chen , Tyler D. Ellison , Meng Cheng , Peng Ye , Ji-Yao Chen

Quantum spin ice is an appealing proposal of a quantum spin liquid - systems where the magnetic moments of the constituent electron spins evade classical long-range order to form an exotic state that is quantum entangled and coherent over…

Quantum spin liquids (QSLs) host emergent, fractionalized fermionic excitations that are charge-neutral. Identifying clear experimental signatures of these excitations remains a central challenge in the field of strongly correlated systems,…

Strongly Correlated Electrons · Physics 2025-12-04 Penghao Zhu , Archisman Panigrahi , Leonid Levitov , Nandini Trivedi

Spin ice is a frustrated magnetic system that at low temperatures exhibits a Coulomb phase, a classical spin liquid with topological order and deconfined excitations. This work establishes the presence of a Coulomb phase with coexisting…

Statistical Mechanics · Physics 2015-03-30 Stephen Powell

We present a modification of exactly solvable spin-(1/2) Kitaev model on the decorated honeycomb lattice, with a ground state of "spin metal" type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state…

Strongly Correlated Electrons · Physics 2013-05-29 K. S. Tikhonov , M. V. Feigel'man

We provide an exact study of dynamical correlations for the quantum spin-orbital liquid phases of an SU(2)-symmetric Kitaev honeycomb lattice model. We show that the spin dynamics in this Kugel-Khomskii type model is exactly the…

Strongly Correlated Electrons · Physics 2020-08-07 Willian M. H. Natori , Johannes Knolle

We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic field through which the model becomes non-integrable. Using…

Strongly Correlated Electrons · Physics 2025-03-13 Kang Wang , Shi Feng , Penghao Zhu , Runze Chi , Hai-Jun Liao , Nandini Trivedi , Tao Xiang

We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t'. We first study the magnetic instability of…

Strongly Correlated Electrons · Physics 2015-06-17 Long Liang , Ziqiang Wang , Yue Yu

We study the onset of spin-density wave order in itinerant electron systems via a two-dimensional lattice model amenable to numerically exact, sign-problem-free determinantal quantum Monte Carlo simulations. The finite-temperature phase…

Superconductivity · Physics 2016-08-29 Yoni Schattner , Max H. Gerlach , Simon Trebst , Erez Berg

We study the finite temperature phase diagram of the Heisenberg-Kitaev model on a three dimensional hyperhoneycomb lattice. Using semiclassical analysis and classical Monte-Carlo simulations, we investigate quantum and thermal…

Strongly Correlated Electrons · Physics 2015-06-17 SungBin Lee , Eric Kin-Ho Lee , Arun Paramekanti , Yong Baek Kim

Liquid He-4 is free from magnetic defects, making it an ideal substrate for electrons with long-lived spin states. Such states can serve as qubit states. Here we consider the spin states of electrons electrostatically localized in quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 M. I. Dykman , Ofek Asban , Qianfan Chen , Dafei Jin , S. A. Lyon

The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model. By analyzing the energy spectrum and entanglement entropy, for antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-05-08 David C. Ronquillo , Adu Vengal , Nandini Trivedi

Electronic phases with symmetry properties matching those of conventional liquid crystals have recently been discovered in transport experiments on semiconductor heterostructures and metal oxides at milli-Kelvin temperatures. We report the…

Strongly Correlated Electrons · Physics 2008-07-14 V. Hinkov , D. Haug , B. Fauque , P. Bourges , Y. Sidis , A. Ivanov , C. Bernhard , C. T. Lin , B. Keimer

Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We…

Strongly Correlated Electrons · Physics 2015-05-27 Johannes Reuther , Dmitry Abanin , Ronny Thomale

Kitaev materials are promising materials for hosting quantum spin liquids and investigating the interplay of topological and symmetry-breaking phases. We use an unsupervised and interpretable machine-learning method, the tensorial-kernel…

Strongly Correlated Electrons · Physics 2021-04-06 Ke Liu , Nicolas Sadoune , Nihal Rao , Jonas Greitemann , Lode Pollet

Spin liquid is a state of electron spins in which quantum fluctuation breaks magnetic ordering while maintaining spin correlation. It has been a central topic in magnetism because of its relevance to high-Tc superconductivity and…

Strongly Correlated Electrons · Physics 2016-09-28 Daichi Hirobe , Masahiro Sato , Takayuki Kawamata , Yuki Shiomi , Ken-ichi Uchida , Ryo Iguchi , Yoji Koike , Sadamichi Maekawa , Eiji Saitoh

Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an…

Strongly Correlated Electrons · Physics 2024-01-29 Ritwika Majumder , Onur Erten , Anamitra Mukherjee
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