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We study hexagonal spin-channel ("triplet") density waves with commensurate $M$-point propagation vectors. We first show that the three $Q=M$ components of the singlet charge density and charge-current density waves can be mapped to…

Strongly Correlated Electrons · Physics 2016-03-08 J. W. F. Venderbos

Despite rapid progress in understanding gapped topological states, much less is known about gapless topological phases of matter, especially in strongly correlated electrons. In this work we discuss a large class of robust gapless quantum…

Strongly Correlated Electrons · Physics 2018-03-23 Yuan-Ming Lu

We show that a chiral spin liquid spontaneously emerges in partially amorphous, polycrystalline, or ion-irradiated Kitaev materials. In these systems, time-reversal symmetry is broken spontaneously due to a non-zero density of plaquettes…

Strongly Correlated Electrons · Physics 2023-05-05 Adolfo G. Grushin , Cécile Repellin

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

We demonstrate that in metals, both normal and superconducting, orbital currents present in the ground state when time reversal symmetry (TRS) is broken, generate spin chirality. Nonzero chirality can emerge in the absence of any…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Archisman Panigrahi , Vladislav Poliakov , Zhiyu Dong , Leonid Levitov

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

Strongly Correlated Electrons · Physics 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

We provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the triangular lattice described by an SU(3) symmetric Hubbard…

Strongly Correlated Electrons · Physics 2020-05-05 C. Boos , C. J. Ganahl , M. Lajkó , P. Nataf , A. M. Läuchli , K. Penc , K. P. Schmidt , F. Mila

The search for quantum spin liquids in frustrated quantum magnets recently has enjoyed a surge of interest, with various candidate materials under intense scrutiny. However, an experimental confirmation of a gapped topological spin liquid…

Strongly Correlated Electrons · Physics 2017-11-01 Martin Claassen , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

Strongly Correlated Electrons · Physics 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

Two-component dipolar fermions in zigzag optical lattices allow for the engineering of spin-orbital models. We show that dipolar lattice fermions permit the exploration of a regime typically unavailable in solid-state compounds that is…

Strongly Correlated Electrons · Physics 2015-11-26 G. Sun , A. K. Kolezhuk , L. Santos , T. Vekua

Recently achieved chiral condensates open intriguing avenues for the study of the chiral properties induced by current-density interactions. An attempt to include these features in a spinor system is presented, which gives rise to a…

In frustrated quantum magnetism, chiral spin liquids are a particularly intriguing subset of quantum spin liquids in which the fractionalized parton degrees of freedom form a Chern insulator. Here we study an exactly solvable spin-3/2 model…

Strongly Correlated Electrons · Physics 2020-11-02 Tim Eschmann , Vatsal Dwivedi , Henry F. Legg , Ciarán Hickey , Simon Trebst

We consider rotating superfluid pionic liquid, with superfluidity being induced by isospin chemical potential. The rotation is known to result in a chiral current flowing along the axis of the rotation. We argue that in case of…

High Energy Physics - Theory · Physics 2013-05-30 V. P. Kirilin , A. V. Sadofyev , V. I. Zakharov

Mott insulators with both spin and orbital degeneracy are pertinent to a large number of transition metal oxides. The intertwined spin and orbital fluctuations can lead to rather exotic phases such as quantum spin-orbital liquids. Here we…

Quantum Gases · Physics 2015-03-27 Zhenyu Zhou , Erhai Zhao , W. Vincent Liu

Spin liquids represent exotic types of quantum matter that evade conventional symmetry-breaking order even at zero temperature. Exhaustive classifications of spin liquids have been carried out in several systems, particularly in the…

Strongly Correlated Electrons · Physics 2014-11-19 Johannes Reuther , Shu-Ping Lee , Jason Alicea

Non-reciprocal critical currents without applying an external magnetic field have been observed recently in several superconductors, in various forms of Graphene, a Kagome compound and in an under-doped cuprate. A necessary requirement for…

Strongly Correlated Electrons · Physics 2025-06-11 Chandra M. Varma

We discuss several aspects of chiral optomagnonics in antiferromagnetic insulators by considering common symmetries between the electromagnetic field and spin excitations. This approach allows us to look at optical and magnetic materials…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Igor Proskurin , Robert L. Stamps

We study the interplay of competing interactions in spin-$1/2$ triangular Heisenberg model through tuning the first- ($J_1$), second- ($J_2$), and third-neighbor ($J_3$) couplings. Based on large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2019-12-25 Shou-Shu Gong , Wayne Zheng , Mac Lee , Yuan-Ming Lu , D. N. Sheng

We study an exactly solvable model with bond-directional quadrupolar and octupolar interactions between spin-orbital entangled $j_{\mathrm{eff}} = \frac{3}{2}$ moments on the honeycomb lattice. We show that this model features a multipolar…

Strongly Correlated Electrons · Physics 2023-10-17 Vanuildo S. de Carvalho , Hermann Freire , Rodrigo G. Pereira

Classical spin-liquids are paramagnetic phases which feature nontrivial patterns of spin correlations within their ground-state manifold whose degeneracy scales with system size. Often they harbor fractionalized excitations, and their…

Strongly Correlated Electrons · Physics 2024-11-26 Daniel Lozano-Gómez , Yasir Iqbal , Matthias Vojta