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Frustrated quantum magnetism has moved to the forefront of physics research, posing fundamental questions concerning quantum disordered states, entanglement, topology and the nature of the quantum wavefunction. The defining problem in the…

Strongly Correlated Electrons · Physics 2017-04-05 H. J. Liao , Z. Y. Xie , J. Chen , Z. Y. Liu , H. D. Xie , R. Z. Huang , B. Normand , T. Xiang

A scaling theory of the Kondo lattices with frustrated exchange interactions is developed, criterium of antiferromagnetic ordering and quantum-disordered state being investigated. The calculations taking into account magnon and incoherent…

Strongly Correlated Electrons · Physics 2019-12-18 V. Yu. Irkhin

The frustrated quantum spin system on the distorted diamond chain lattice suitable for the alumoklyuchevskite is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that…

Strongly Correlated Electrons · Physics 2020-04-22 Tomosuke Zenda , Yuta Tachibana , Yuki Ueno , Kiyomi Okamoto , Tôru Sakai

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…

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

We investigate low-energy properties of two-dimensional quantum spin systems with the ladder and plaquette structures, which are described by a generalized antiferromagnetic Heisenberg model with both of the bond and spin alternations. By…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

We explain how gapped quantum spin liquids, both conventional and 'fractonic', may be unambiguously diagnosed experimentally using the technique of multidimensional coherent spectroscopy. 'Conventional' gapped quantum spin liquids (e.g.…

Strongly Correlated Electrons · Physics 2021-10-11 Rahul M. Nandkishore , Wonjune Choi , Yong Baek Kim

We argue that a relatively simple model containing only SU(2)-invariant chiral three-spin interactions on a Kagome lattice of S=1/2 spins can give rise to both a gapped and a gapless quantum spin liquid. Our arguments are rooted in a…

Strongly Correlated Electrons · Physics 2014-09-09 Bela Bauer , Brendan P. Keller , Michele Dolfi , Simon Trebst , Andreas W. W. Ludwig

A large part of the interest in magnets with frustrated antiferromagnetic interactions comes from the many new phases found in applied magnetic field. In this Article, we explore some of the new phases which arise in a model with frustrated…

Strongly Correlated Electrons · Physics 2016-02-29 Luis Seabra , Philippe Sindzingre , Tsutomu Momoi , Nic Shannon

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

The phase diagram of antiferromagnetic spin-S chain with XY-type anisotropy and frustrating next-nearest-neighbor interaction is studied in the limit of large integer S with the help of a field-theoretical approach. It is shown that the…

Strongly Correlated Electrons · Physics 2009-10-31 Alexei K. Kolezhuk

We study the zero-temperature phase diagram of the spin-$\frac{1}{2}$ Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large…

Strongly Correlated Electrons · Physics 2021-01-01 Saeed S. Jahromi , Roman Orus , Didier Poilblanc , Frédéric Mila

By using the density matrix renormalization group, we study the spin-liquid phases of spin-$1/2$ XXZ kagome antiferromagnets. We find that the emergence of spin liquid phase does not depend on the anisotropy of the XXZ interaction. In…

Strongly Correlated Electrons · Physics 2015-01-23 Yin-Chen He , Yan Chen

We study a quantum spin system on a honeycomb lattice, when it includes frustration and distortion in antiferromagnetic (AF) exchange interactions. We transform the spin system onto a nonlinear sigma model (NLSM) in a new way preserving the…

Strongly Correlated Electrons · Physics 2009-11-11 Ken'ichi Takano

We study the phase diagram of a one-dimensional extended Hubbard model with antiferromagnetic exchange interaction analytically and numerically. The bosonization and transfer-matrix renormalization group methods are used in the…

Strongly Correlated Electrons · Physics 2009-11-10 Jianhui Dai , Xiaoyong Feng , Tao Xiang , Yue Yu

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

Strongly Correlated Electrons · Physics 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

Previous investigations have suggested that the simplest spin-orbital model on the simplest frustrated lattice can host a nematic quantum spin-orbital liquid state. Namely, the orbital degeneracy of the SU(4) Kugel-Khomskii (KK) model tends…

Strongly Correlated Electrons · Physics 2023-11-09 Chun Zhang , Hui-Ke Jin , Yi Zhou

Optimizing translationally invariant infinite-Projected Entangled Pair States (iPEPS), we investigate the spin-2 Affleck-Kennedy-Lieb-Tasaki (AKLT) and spin-1 Heisenberg models on the Kagome lattice as a function of magnetic field. We found…

Strongly Correlated Electrons · Physics 2015-03-05 Thibaut Picot , Didier Poilblanc

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

Strongly Correlated Electrons · Physics 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella