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We have developed a 3D version for the Modulated Spin Liquid in a body-centered tetragonal lattice structure to describe the hidden order observed in URu$_2$Si$_2$ at $T_0\approx17.5$ K. This second order transition is well described by our…

Strongly Correlated Electrons · Physics 2013-06-25 Christopher Thomas , Sébastien Burdin , Catherine Pépin , Alvaro Ferraz

A quantum spin liquid (QSL) is a state of matter where unpaired electrons' spins in a solid are quantum entangled, but do not show magnetic order in the zero-temperature limit. Because such a state may be important to the microscopic origin…

The geometrically frustrated 3D pyrochlore lattice has been long predicted to host a quantum spin liquid, an intrinsic long-range entangled state with fractionalized excitations. To date, most proposals for pyrochlore materials have focused…

Strongly Correlated Electrons · Physics 2026-03-11 Chunxiao Liu , Gábor B. Halász , Leon Balents

We investigate Coulomb spin liquids in classical spin-3/2 ice and show that the enlarged on-site Hilbert space gives rise to a qualitatively new class of such phases. Beyond the conventional magnetic monopoles of spin-1/2 ice, the system…

Strongly Correlated Electrons · Physics 2026-02-27 Souvik Kundu , Arnab Seth , Sthitadhi Roy , Subhro Bhattacharjee , Roderich Moessner

We study systems of coupled spin-gapped and gapless Luttinger liquids. First, we establish the existence of a sliding Luttinger liquid phase for a system of weakly coupled parallel quantum wires, with and without disorder. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-07 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Chenglong Jia , Jung Hoon Han

Quantum spin liquids (QSLs) define an exotic class of quantum ground states where spins are disordered down to zero temperature. We propose routes to QSLs in kagome optical lattices using applied flux. An optical flux lattice can be applied…

Quantum Gases · Physics 2019-11-20 Hoi-Yin Hui , Mengsu Chen , Sumanta Tewari , V. W. Scarola

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

Strongly Correlated Electrons · Physics 2015-12-08 Owen Benton , Nic Shannon

The low-dimensional s=1/2 compound (NO)[Cu(NO3)3] has recently been suggested to follow the Nersesyan-Tsvelik model of coupled spin chains. Such a system shows unbound spinon excitations and a resonating valence bond ground state due spin…

Strongly Correlated Electrons · Physics 2022-06-08 V. Gnezdilov , P. Lemmens , Yu. G. Pashkevich , D. Wulferding , I. V. Morozov , O. S. Volkova , A. Vasiliev

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

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

Quantum spin liquids are topological states of matter that arise in frustrated quantum magnets at low temperatures. At low energies, such states exhibit emergent gauge fields and fractionalized quasiparticles and can also possess enhanced…

Strongly Correlated Electrons · Physics 2021-12-20 Vir B. Bulchandani , Benjamin Hsu , Christopher P. Herzog , S. L. Sondhi

Disorder in materials may be used to tune their functionalities, but much more strikingly, its presence can entail entirely new behavior. This happens in charge-ice where structural disorder is not weak and local, but strong and long-range…

Statistical Mechanics · Physics 2023-11-10 A. Hemmatzade , K. Essafi , M. Taillefumier , M. Müller , T. Fennell , P. M. Derlet

We study the $S=1/2$ Heisenberg model on the triangular lattice with nearest neighbor interaction $J_1$ and next nearest neighbor interaction $J_2$ with the density matrix renormalization group. We are able to study long open cylinders with…

Strongly Correlated Electrons · Physics 2015-07-08 Zhenyue Zhu , Steven R. White

A frustrated system is one whose symmetry precludes the possibility that every pairwise interaction (``bond'') in the system can be satisfied at the same time. Such systems are common in all areas of physical and biological science. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Steven T. Bramwell , Michel J. -P. Gingras

Actively shought since the turn of the century, two-dimensional quantum spin liquids (QSLs) are exotic phases of matter where magnetic moments remain disordered even at extremely low temperatures. Despite ongoing searches, QSLs remain…

Strongly Correlated Electrons · Physics 2015-07-22 Juan Carrasquilla , Zhihao Hao , Roger G. Melko

Spin glasses occupy a unique place in condensed matter: they freeze collectively while remaining struc-turally disordered, and they exhibit slow, history-dependent dynamics that reflect an exceptionally rug-ged free-energy landscape. This…

Disordered Systems and Neural Networks · Physics 2025-12-25 Naeimeh Tahriri , Vahid Mahdikhah , Jahanfar Abouie , Daryoosh Vashaee

Mutual interactions in many-body systems bring about a variety of exotic phases, among which liquid-like states failing to order due to frustration are of keen interest. Recently, an organic system with an anisotropic triangular lattice of…

Despite the apparent ubiquity and variety of quantum spin liquids in theory, experimental confirmation of spin liquids remains to be a huge challenge. Motivated by the recent surge of evidences for spin liquids in a series of candidate…

Strongly Correlated Electrons · Physics 2020-11-06 Yong Hao Gao , Gang Chen

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier
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