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We revisit two-dimensional frustrated quantum magnetism from a new perspective, with the aim of exploring new critical points and critical phases. We study easy-plane triangular antiferromagnets using a dual vortex approach, fermionizing…

Strongly Correlated Electrons · Physics 2009-11-11 Jason Alicea , Olexei I. Motrunich , Michael Hermele , Matthew P. A. Fisher

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

Quantum spin liquids are highly fascinating quantum liquids in which the spin degrees of freedom fractionalize. An interesting class of spin liquids are the exactly solvable, three-dimensional Kitaev spin liquids. Their fractionalized…

Strongly Correlated Electrons · Physics 2018-06-22 Stephanie Matern , Maria Hermanns

High-resolution thermal expansion and magnetostriction measurements were performed on single crystals of $\alpha$-RuCl$_3$ in magnetic fields applied parallel to the Ru-Ru bonds. The length changes were measured in the direction…

We perform a renormalization group analysis of some important effective field theoretic models for deconfined spinons. We show that deconfined spinons are critical for an isotropic SU(N) Heisenberg antiferromagnet, if $N$ is large enough.…

Strongly Correlated Electrons · Physics 2008-11-26 Flavio S. Nogueira , Steinar Kragset , Asle Sudbo

We consider the exchange couplings present in an effective Hamiltonian of $\alpha$-RuCl$_3$, known as the K-$\Gamma$ model. This material has a honeycomb lattice, and is expected to be a representative of the Kitaev materials (which can…

Strongly Correlated Electrons · Physics 2022-04-19 Ipsita Mandal

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e approximants, we…

High Energy Physics - Lattice · Physics 2015-05-14 Jens Langelage , Owe Philipsen

The insulating honeycomb magnet $\alpha$-RuCl$_{3}$ exhibits fractionalized excitiations that signal its proximity to a Kitaev quantum spin liquid (QSL) state, however, at $T=0$, fragile long-range magnetic order arises from non-Kitaev…

Strongly Correlated Electrons · Physics 2017-12-12 P. Lampen-Kelley , A. Banerjee , A. A. Aczel , H. B. Cao , M. B. Stone , C. A. Bridges , J. -Q. Yan , S. E. Nagler , D. Mandrus

The temperature (T) dependence of the muon and $^{63}$Cu nuclear spin-lattice relaxation rates $1/T_1$ in YbCu4.4Au0.6 is reported over nearly four decades. It is shown that for $T\to 0$ $1/T_1$ diverges following the behaviour predicted by…

Strongly Correlated Electrons · Physics 2010-11-01 P. Carretta , R. Pasero , M. Giovannini , C. Baines

We revisit an antiferromagnetic quantum phase transition with $\bm{Q} = 2 \bm{k}_{F}$, where $\bm{Q}$ is an ordering wave vector and $\bm{k}_{F}$ is a Fermi momentum. Reformulating the Hertz-Moriya-Millis theory within the strong coupling…

Strongly Correlated Electrons · Physics 2015-06-19 Ki-Seok Kim

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

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…

$\alpha$-RuCl$_3$ is considered to be the top candidate material for the experimental realization of the celebrated Kitaev model. It is however known that additional interactions beyond the Kitaev model trigger in $\alpha$-RuCl$_3$, a…

The material $\alpha$-RuCl$_3$, with a two-dimensional Ru-honeycomb sublattice, has attracted considerable attention because it may be a realization of the Kitaev quantum spin liquid (QSL). Recently, a new honeycomb material,…

Strongly Correlated Electrons · Physics 2022-02-08 Yang Zhang , Ling-Fang Lin , Adriana Moreo , Elbio Dagotto

Under an appropriate symmetric bulk bipartition in a one-dimensional symmetry protected topological phase with the Affleck-Kennedy-Lieb-Tasaki matrix product state wave function for the odd integer spin chains, a bulk critical entanglement…

Strongly Correlated Electrons · Physics 2018-10-31 Zi-Qi Wang , Guo-Yi Zhu , Guang-Ming Zhang

Quantum critical points often arise in metals perched at the border of an antiferromagnetic order. The recent observation of singular and dynamically scaling charge conductivity in an antiferromagnetic quantum critical heavy fermion metal…

Strongly Correlated Electrons · Physics 2020-01-22 Ang Cai , Zuodong Yu , Haoyu Hu , Stefan Kirchner , Qimiao Si

We analyze and overview several different unconventional quantum criticalities. One origin of the unconventionality is the proximity to first-order transitions. The border between the first-order and continuous transitions is described by a…

Strongly Correlated Electrons · Physics 2010-08-24 Masatoshi Imada , Takahiro Misawa , Youhei Yamaji

Kitaev magnets have emerged as pivotal systems for investigating frustrated magnetism, providing a unique platform to explore quantum phases governed by the interplay between bond-dependent anisotropy and external magnetic fields. However,…

Strongly Correlated Electrons · Physics 2026-01-13 Shuai Liu , Hao Wu , Jinbin Li , Xiaoqun Wang , Qiang Luo

We study the low-temperature phase diagram of quantum Kitaev-Heisenberg spin-orbital models with XXZ anisotropy on the honeycomb lattice. Within a parton mean-field theory, we identify three different quantum phases, distinguished by their…

Strongly Correlated Electrons · Physics 2025-09-24 Max Fornoville , Lukas Janssen

Dimensionality and symmetry play deterministic roles in the laws of Nature. They are important tools to characterize and understand quantum phase transitions, especially in the limit of strong correlations between spin, orbit, charge, and…

Strongly Correlated Electrons · Physics 2019-04-02 Yishu Wang , T. F. Rosenbaum , A. Palmer , Y. Ren , J. -W. Kim , D. Mandrus , Yejun Feng
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