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An emergent $\mathrm{SU}(4)$ symmetry discovered in the microscopic model for $d^1$ honeycomb materials [M.~G.~Yamada, M.~Oshikawa, and G.~Jackeli, Phys. Rev. Lett. \textbf{121}, 097201 (2018).] has enabled us to tailor exotic…

Strongly Correlated Electrons · Physics 2022-01-03 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

We present a quantu spin liquid state in a spin-1/2 honeycomb lattice with randomness in the exchange interaction. That is, we successfully introduce randomness into the organic radial-based complex and realize a random-singlet (RS) state.…

Strongly Correlated Electrons · Physics 2017-09-26 H. Yamaguchi , M. Okada , Y. Kono , S. Kittaka , T. Sakakibara , T. Okabe , Y. Iwasaki , Y. Hosokoshi

The hallmark of highly frustrated systems is the presence of many states close in energy to the ground state. Fluctuations between these states can preclude the emergence of any form of order and lead to the appearance of spin liquids. Even…

Strongly Correlated Electrons · Physics 2023-05-31 Han Yan , Owen Benton , Andriy H. Nevidomskyy , Roderich Moessner

We show how a broad class of lattice spin-1/2 models with angular- and distance-dependent couplings can be realized with cold alkali atoms stored in optical or magnetic trap arrays. The effective spin-1/2 is represented by a pair of atomic…

Stabilizing exotic quantum phases of matter, e.g. spin liquid, is an attractive topic in condensed matter. Here, by a Monte Carlo study of a two-orbital spin-fermion model on a honeycomb lattice, we show the cooperative effects of the…

Strongly Correlated Electrons · Physics 2025-01-13 Kaidi Xu , Shan-Shan Wang , Rong Yu , Shuai Dong

Geometrical frustration among interacting spins combined with strong quantum fluctuations destabilize long-range magnetic order in favour of more exotic states such as spin liquids. By following this guiding principle, a number of spin…

We report a new classical spin liquid in which the collective flux degrees of freedom break the translation symmetry of the honeycomb lattice. This exotic phase exists in frustrated spin-orbit magnets where a dominant off-diagonal exchange,…

Strongly Correlated Electrons · Physics 2019-07-02 Preetha Saha , Zhijie Fan , Depei Zhang , Gia-Wei Chern

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

Strongly Correlated Electrons · Physics 2018-10-26 Kazuki Uematsu , Hikaru Kawamura

With the advent of quantum simulation experiments of lattice gauge theories (LGTs), an open question is the effect of non-Hermiticity on their rich physics. The well-known PXP model, a U$(1)$ LGT with a two-level electric field in one…

Quantum Physics · Physics 2026-01-01 Yevgeny Bar Lev , Jad C. Halimeh , Achilleas Lazarides

Understanding the dynamics of strongly interacting disordered quantum systems is one of the most challenging problems in modern science, due to features such as the breakdown of thermalization and the emergence of glassy phases of matter.…

Quantum Physics · Physics 2021-01-27 A. Signoles , T. Franz , R. Ferracini Alves , M. Gärttner , S. Whitlock , G. Zürn , M. Weidemüller

We present a comprehensive experimental investigation of the temperature evolution of magnetic states in triangular-lattice delafossite YbCuSe$_2$. Magnetization measurements on high-quality single crystals reveal easy-plane anisotropy.…

Strongly Correlated Electrons · Physics 2026-04-08 K. Bhattacharya , Y. Tokiwa , M. Majumder

We show that the nonlinear transport of bosonic excitations in a two-dimensional honeycomb lattice of spin-orbit coupled Rydberg atoms gives rise to disordered quantum phases which are candidates for quantum spin liquids. As recently…

Quantum Gases · Physics 2023-03-02 Simon Ohler , Maximilian Kiefer-Emmanouilidis , Michael Fleischhauer

On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

Frustration in magnetic interactions can give rise to disordered ground states with subtle and beautiful properties. The spin ices Ho2Ti2O7 and Dy2Ti2O7 exemplify this phenomenon, displaying a classical spin liquid state, with…

Strongly Correlated Electrons · Physics 2017-12-11 Mathieu Taillefumier , Owen Benton , Han Yan , L. D. C. Jaubert , Nic Shannon

The spin-liquid candidate $\kappa$-(BEDT-TTF)$_{2}$Cu$_{2}$(CN)$_{3}$ has been studied by measuring the uniaxial expansion coefficients $\alpha_{i}$, the specific heat, and magnetic susceptibility. Special emphasis was placed on the…

Strongly Correlated Electrons · Physics 2010-01-08 R. S. Manna , M. de Souza , A. Bruehl , J. Schlueter , M. Lang

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial…

Strongly Correlated Electrons · Physics 2012-12-20 Sandro Sorella , Yuichi Otsuka , Seiji Yunoki

CePdAl is a prototypical frustrated Kondo lattice with partial long-range order (LRO) at $T_\mathrm{N}=2.7$ K. Previous bulk experiments under hydrostatic pressure found signatures for a quantum critical regime that extends from…

Strongly Correlated Electrons · Physics 2022-06-01 M. Majumder , R. Gupta , H. Luetkens , R. Khasanov , O. Stockert , P. Gegenwart , V. Fritsch

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

Strongly Correlated Electrons · Physics 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long sought example is the resonating-valence-bond (RVB) state, where atomic magnetic moments are…

Strongly Correlated Electrons · Physics 2013-07-19 Tian-Heng Han , Joel S. Helton , Shaoyan Chu , Daniel G. Nocera , Jose A. Rodriguez-Rivera , Collin Broholm , Young S. Lee

We study the low-temperature behaviour of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. Because of geometrical frustration, the ground state of this model has an extensive number of…

Statistical Mechanics · Physics 2009-10-30 R. Moessner , J. T. Chalker