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We study the exact low energy spectra of the spin 1/2 Heisenberg antiferromagnet on small samples of the kagom\'e lattice of up to N=36 sites. In agreement with the conclusions of previous authors, we find that these low energy spectra…

Statistical Mechanics · Physics 2009-10-31 Ch. Waldtmann , H. -U. Everts , B. Bernu , P. Sindzingre , C. Lhuillier , P. Lecheminant , L. Pierre

The Kitaev model, renowned for its exact solvability and potential to host non-Abelian anyons, remains a focal point in the study of quantum spin liquids and topological phases. While much of the existing literature has employed Majorana…

Strongly Correlated Electrons · Physics 2025-02-12 Hibiki Takegami , Takao Morinari

We present microscopic magnetic properties of a two dimensional triangular lattice Sc2Ga2CuO7, consisting of single and double triangular Cu planes. A Curie-Weiss temperature theta_CW = --44 K and an antiferromagnetic (AFM) exchange…

Strongly Correlated Electrons · Physics 2017-12-06 P. Khuntia , R. Kumar , A. V. Mahajan , M. Baenitz , Y. Furukawa

Using superconducting quantum circuit elements, we propose an approach to experimentally construct a Kitaev lattice, which is an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions and having…

Superconductivity · Physics 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

The fate of exotic spin liquid states with fractionalized excitations at finite temperature ($T$) is of great interest, since signatures of fractionalization manifest in finite-temperature ($T$) dynamics in real systems, above the tiny…

Strongly Correlated Electrons · Physics 2017-04-20 Subhasree Pradhan , M. S. Laad , Avijeet Ray , T. Maitra , A. Taraphder

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 present an exactly solvable spin-3/2 model defined on a pentacoordinated three-dimensional graphite lattice, which realizes a novel quantum spin liquid with second-order topology. The exact solutions are described by Majorana fermions…

Strongly Correlated Electrons · Physics 2020-06-01 Y. X. Zhao , Y. Lu , Shengyuan A. Yang

We analyse an exactly solvable spin-$1/2$ chain which is a generalised version of Kitaev's honeycomb model. We show that every state of the system has a $2^{N/4}$ fold degeneracy, where $N$ is the number of sites. We present analytic…

Strongly Correlated Electrons · Physics 2015-05-19 Abhinav Saket , S. R. Hassan , R. Shankar

We present local probe results on the honeycomb lattice antiferromagnet Ba3CuSb2O9. Muon spin relaxation measurements in zero field down to 20 mK show unequivocally that there is a total absence of spin freezing in the ground state. Sb NMR…

Strongly Correlated Electrons · Physics 2015-06-05 J. A. Quilliam , F. Bert , E. Kermarrec , C. Payen , C. Guillot-Deudon , P. Bonville , C. Baines , H. Luetkens , P. Mendels

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

Strongly Correlated Electrons · Physics 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle

The spectral properties of Kitaev's honeycomb lattice model are investigated both analytically and numerically with the focus on the non-abelian phase of the model. After summarizing the fermionization technique which maps spins into free…

Mesoscale and Nanoscale Physics · Physics 2010-07-02 Ville Lahtinen , Graham Kells , Angelo Carollo , Tim Stitt , Jiri Vala , Jiannis K. Pachos

The family of "Kitaev materials" provides an ideal platform to study quantum spin liquids and their neighboring magnetic orders. Motivated by the possibility of a quantum spin liquid ground state in pressurized hyperhoneycomb iridate…

Strongly Correlated Electrons · Physics 2018-05-30 Biao Huang , Wonjune Choi , Yong Baek Kim , Yuan-Ming Lu

Kitaev's honeycomb model is a paradigmatic exactly solvable system hosting a quantum spin liquid with non-Abelian anyons and topologically protected edge modes, offering a platform for fault-tolerant quantum computation. However, real…

Despite the exciting implications of the Kitaev spin-Hamiltonian, finding and confirming the quantum spin liquid state has proven incredibly difficult. Recently the applicability of the model has been expanded through the development of a…

Strongly Correlated Electrons · Physics 2022-09-23 K. M. Taddei , V. O. Garlea , A. M. Samarakoon , L. D. Sanjeewa , J. Xing , T. W. Heitmann , C. dela Cruz , A. S. Sefat , D. Parker

In recent years, it has been shown that the phonon dynamics may serve as an indirect probe of fractionalization of spin degrees of freedom. Here we propose that the sound attenuation measurements allows for the characterization and…

Strongly Correlated Electrons · Physics 2026-02-27 Kexin Feng , Aysel Shiralieva , Natalia B. Perkins

We investigate the exact solution of the honeycomb model proposed by Kitaev and derive an explicit formula for the projector onto the physical subspace. The physical states are simply characterized by the parity of the total occupation of…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Fabio L. Pedrocchi , Stefano Chesi , Daniel Loss

Motivated by the absence of both spin freezing and a cooperative Jahn-Teller effect at the lowest measured temperatures, we study the ground state of Ba3CuSb2O9. We solve a general spin-orbital model on both the honeycomb and the decorated…

Strongly Correlated Electrons · Physics 2014-10-02 Andrew Smerald , Frederic Mila

We investigate the ground-state and finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a honeycomb lattice with frustrated nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by the…

Strongly Correlated Electrons · Physics 2018-10-24 Kazuki Uematsu , Hikaru Kawamura

We present new experimental low-temperature heat capacity and detailed dynamical spin-structure factor data for the quantum spin liquid candidate material Ca$_{10}$Cr$_7$O$_{28}$. The measured heat capacity shows an almost perfect linear…

We study the emergence of magnetic order in localized spins that interact solely through their coupling to a Kitaev-type spin liquid. Using three toy models -- the Kitaev model, the Yao-Lee model, and a square-lattice generalization of the…

Strongly Correlated Electrons · Physics 2025-07-09 M. A. Keskiner , M. Ö. Oktel , Natalia B. Perkins , Onur Erten
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