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Quantum simulations of many-body systems are among the most promising applications of quantum computers. In particular, models based on strongly-correlated fermions are central to our understanding of quantum chemistry and materials…

The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the…

Strongly Correlated Electrons · Physics 2018-02-27 Petr A. Mishchenko , Yasuyuki Kato , Yukitoshi Motome

Finite-temperature ($T$) properties of a Kitaev model defined on a honeycomb lattice are investigated by a quantum Monte Carlo simulation, from the viewpoint of fractionalization of quantum $S=1/2$ spins into two types of Majorana fermions,…

Strongly Correlated Electrons · Physics 2015-09-30 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

We present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative…

Strongly Correlated Electrons · Physics 2017-12-19 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

We study the spin-1/2 Kitaev honeycomb gapless spin liquid in the presence of Stone-Wales-type local lattice defects with odd-sided plaquettes. While the clean Kitaev model has no finite-temperature phase transitions, we find that…

Strongly Correlated Electrons · Physics 2026-05-05 Arnab Seth , Fay Borhani , Itamar Kimchi

Kitaev's honeycomb lattice spin model is a remarkable exactly solvable model, which has a particular type of spin liquid (Kitaev spin liquid) as the ground state. Although its possible realization in iridates and $\alpha$-RuCl$_3$ has been…

Strongly Correlated Electrons · Physics 2017-08-07 Masahiko G. Yamada , Hiroyuki Fujita , Masaki Oshikawa

We have performed thermodynamic and neutron scattering measurements on the S=1/2 kagome lattice antiferromagnet Zn Cu_3 (OH)_6 Cl_2. The susceptibility indicates a Curie-Weiss temperature of ~ -300 K; however, no magnetic order is observed…

Strongly Correlated Electrons · Physics 2007-05-23 J. S. Helton , K. Matan , M. P. Shores , E. A. Nytko , B. M. Bartlett , Y. Yoshida , Y. Takano , A. Suslov , Y. Qiu , J. -H. Chung , D. G. Nocera , Y. S. Lee

We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson resonating valence bond (RVB) states can be understood, as an effective model, in…

Strongly Correlated Electrons · Physics 2017-11-15 Karyn Le Hur , Ariane Soret , Fan Yang

We investigate the spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice in an external magnetic field. By combining density-matrix renormalization group, sign-problem-free quantum Monte Carlo in a mixed…

Statistical Mechanics · Physics 2026-03-03 Katarina Karlova , Jozef Strecka

We investigate the ground state and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnet on an infinite octa-kagome lattice by utilizing state-of-the-art tensor network-based numerical methods. It is shown that the…

Strongly Correlated Electrons · Physics 2017-05-18 Cheng Peng , Shi-Ju Ran , Tao Liu , Xi Chen , Gang Su

Exactly soluble spin-$\frac{1}2$ models on three-dimensional lattices are proposed by generalizing Kitaev model on honeycomb lattice to three dimensions with proper periodic boundary conditions. The simplest example is spins on a diamond…

Strongly Correlated Electrons · Physics 2011-11-10 Tieyan Si , Yue yu

We determine the phase diagrams of anisotropic Kitaev-Heisenberg models on the honeycomb lattice using parton mean-field theories based on different Majorana fermion representations of the $S=1/2$ spin operators. Firstly, we use a…

Strongly Correlated Electrons · Physics 2024-02-21 Shahnam Ghanbari Saheli , Jennifer Lin , Huanzhi Hu , Frank Krüger

The higher spin Kitaev model prominently features the extensive locally conserved quantities the same as the spin-$1/2$ Kitaev honeycomb model, although it is not exactly solvable. It remains an open question regarding the physical meaning…

Strongly Correlated Electrons · Physics 2023-04-17 Han Ma

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic t-J Heisenberg model on the honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2018-09-26 A. A. Vladimirov , D. Ihle , N. M. Plakida

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

We introduce an extension of the Kitaev honeycomb model by including four-spin interactions that preserve the local gauge structure and hence the integrability of the original model. The extended model has a rich phase diagram containing…

Strongly Correlated Electrons · Physics 2019-08-07 Shang-Shun Zhang , Zhentao Wang , Gábor B. Halász , Cristian D. Batista

We study the gapped phase of Kitaev's honeycomb model (a Z_2 spin liquid) in the presence of lattice defects. We find that some dislocations and bond defects carry unpaired Majorana fermions. Physical excitations associated with these…

Strongly Correlated Electrons · Physics 2013-10-30 Olga Petrova , Paula Mellado , Oleg Tchernyshyov

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

Strongly Correlated Electrons · Physics 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin…

Strongly Correlated Electrons · Physics 2017-04-21 Yi Zhou , Kazushi Kanoda , Tai-Kai Ng

Besides the exactly solvable spin-1/2 Kitaev model, higher spin-$S$ ones, not exactly solvable, are promising playgrounds for researches on the quantum spin liquid as well. One of the main interests in higher spin-S cases is the interplay…

Statistical Mechanics · Physics 2024-07-30 Tohru Mashiko , Tsuyoshi Okubo