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We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

强关联电子 · 物理学 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

The exploration of quantum spin liquids (QSLs) has been guided by different approaches including the resonating valence bond (RVB) picture, deconfined lattice gauge theories and the Kitaev model. More recently, a spin liquid ground state…

强关联电子 · 物理学 2022-12-19 Ruben Verresen , Ashvin Vishwanath

We construct a family of short-range resonating-valence-bond wave functions on a layered cubic lattice, allowing for a tunable anisotropy in the amplitudes assigned to nearest-neighbour valence bonds along one axis. Monte Carlo simulations…

强关联电子 · 物理学 2013-11-04 Jin Xu , K. S. D. Beach

We study the extent of the spin liquid phases in the Kitaev-Heisenberg model using infinite Projected Entangled-Pair States tensor network ansatz wave functions directly in the thermodynamic limit. To assess the accuracy of the ansatz wave…

强关联电子 · 物理学 2014-12-01 Juan Osorio Iregui , Philippe Corboz , Matthias Troyer

We investigate the inversion phenomenon between the XXZ anisotropies of the Hamiltonian and the wave function in quantum spin chains, mainly focusing on the S=1/2 trimerized XXZ model with the next-nearest-neighbor interactions. We have…

统计力学 · 物理学 2009-11-07 Kiyomi Okamoto

Quantum spin liquid has massive many spin entanglement in the ground state, we can evaluate it by the entanglement entropy, but the latter can not be observed directly by experiment. In this manuscript, we try to characterize its…

量子物理 · 物理学 2024-05-28 Zheng-Chuan Wang

In the pseudospin-$\frac{1}{2}$ honeycomb Mott insulators with strong spin-orbit coupling, there are two types of bond-dependent exchange interactions, named Kitaev ($K$) and $\Gamma$, leading to strong frustration. While the ground state…

强关联电子 · 物理学 2021-10-06 Ahmed Rayyan , Qiang Luo , Hae-Young Kee

We point out that the Kitaev materials may not necessarily support Kitaev spin liquid. It is well-known that having a Kitaev term in the spin interaction is not the sufficient condition for the Kitaev spin liquid ground state. Many other…

强关联电子 · 物理学 2019-05-22 Yao Dong Li , Xu Yang , Yi Zhou , Gang Chen

We study the quantum synchronization of a single spin driven by an external semiclassical signal for spin numbers larger than $S = 1$, the smallest system to host a quantum self-sustained oscillator. The occurrence of interference-based…

量子物理 · 物理学 2023-01-04 Ryan Tan , Christoph Bruder , Martin Koppenhöfer

We investigate the interplay between spin-orbit coupling and electron-electron interactions on the honeycomb lattice combining the cellular dynamical mean-field theory and its real space extension with analytical approaches. We provide a…

强关联电子 · 物理学 2015-05-28 Wei Wu , Stephan Rachel , Wu-Ming Liu , Karyn Le Hur

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…

超导电性 · 物理学 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

A family of spin-orbit coupled honeycomb Mott insulators offers a playground to search for quantum spin liquids (QSLs) via bond-dependent interactions. In candidate materials, a symmetric off-diagonal $\Gamma$ term, close cousin of Kitaev…

强关联电子 · 物理学 2021-06-07 Qiang Luo , Jize Zhao , Hae-Young Kee , Xiaoqun Wang

Anderson proposed structural topology in frustrated magnets hosting novel quantum spin liquids (QSLs). The QSL state is indeed exactly derived by fractionalizing the spin excitation into spinless Majorana fermions in a perfect two…

We analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a…

强关联电子 · 物理学 2013-11-15 S. R. Hassan , Sandeep K Goyal , R. Shankar , David Sénéchal

Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this…

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

强关联电子 · 物理学 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

We study the thermodynamic properties of modified spin-$S$ Kitaev models introduced by Baskaran, Sen and Shankar (Phys. Rev. B 78, 115116 (2008)). These models have the property that for half-odd-integer spins their eigenstates map on to…

强关联电子 · 物理学 2021-02-09 Owen Bradley , Jaan Oitmaa , Diptiman Sen , Rajiv R. P. Singh

The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

强关联电子 · 物理学 2012-11-19 Kenji Harada

Quantum spin liquid involves fractionalized quasipariticles such as spinons and visons. They are expressed as itinerant Majorana fermions and $Z_2$ fluxes in the Kitaev model with bond-dependent exchange interactions on a honeycomb spin…

强关联电子 · 物理学 2020-02-05 Y. Nagai , T. Jinno , Y. Yoshitake , J. Nasu , Y. Motome , M. Itoh , Y. Shimizu

Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin liquid [1], we study quantum circuit dynamics in…

强关联电子 · 物理学 2022-07-08 Ali Lavasani , Zhu-Xi Luo , Sagar Vijay