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We derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a…

Quantum Gases · Physics 2013-11-13 Ren Zhang , Wei Zhang

We study the spin dynamics of classical Heisenberg antiferromagnet with nearest neighbor interactions on a quasi-two-dimensional kagome bilayer. This geometrically frustrated lattice consists of two kagome layers connected by a…

Strongly Correlated Electrons · Physics 2021-06-09 Preetha Saha , Depei Zhang , Seung-Hun Lee , Gia-Wei Chern

The low-energy properties of the two-dimensional Heisenberg model with spin-$\frac{1}{2}$ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartet of…

Condensed Matter · Physics 2015-06-25 V. I. Belinicher , L. V. Popovich

Employing complementary torque magnetometry and electron spin resonance on single crystals of herbertsmithite, the closest realization to date of a quantum kagome antiferromagnet featuring a spin-liquid ground state, we provide novel…

Strongly Correlated Electrons · Physics 2017-01-06 A. Zorko , M. Herak , M. Gomilšek , J. van Tol , M. Velázquez , P. Khuntia , F. Bert , P. Mendels

Quantum entanglement effects between the electronic spin and charge degrees of freedom are examined in an organic molecular solid, termed a dimer-Mott insulating system, in which molecular dimers are arranged in a crystal as fundamental…

Strongly Correlated Electrons · Physics 2016-05-18 Makoto Naka , Sumio Ishihara

We treat the ground state, elementary excitations, and neutron scattering cross section for a system of trimers consisting of three tightly bound spins 1/2 on a distorted Kagom\'e lattice, subject to isotropic nearest neighbor (usually…

Strongly Correlated Electrons · Physics 2015-06-15 A. B. Harris , T. Yildirim

The dynamical dimer structure factor is an observable probing spin-singlet excitations of quantum magnets distinct from those commonly studied by the spin structure factor. We report the dimer response for the extended spin-$1/2$…

Strongly Correlated Electrons · Physics 2026-04-29 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann , Johannes Knolle

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter

Motivated by recent developments in magnetic materials, frustrated nanoarrays and cold atomic systems, we investigate the behaviour of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza…

Strongly Correlated Electrons · Physics 2015-05-18 Mykola Maksymenko , V. Ravi Chandra , Roderich Moessner

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil

Low-temperature magnetic properties of both classical and quantum dimerized ferromagnetic spin chains are studied. It is shown that at low temperatures the classical dimerized model reduces to the classical uniform model with the effective…

Strongly Correlated Electrons · Physics 2013-05-30 D. V. Dmitriev , V. Ya. Krivnov

The frustrated spin-one-half Heisenberg model on triangualr and Kagome Lattices is mapped onto a single specis of fermion carrying statistical flux. The corresponding Chern-Simons gauge theory is analyzed at the Gaussian level and found to…

Condensed Matter · Physics 2016-08-31 Kun Yang , K. L. Warman , S. M. Girvin

We give a physical picture of the low-energy sector of the spin 1/2 Heisenberg Kagome antiferromagnet (KAF). It is shown that Kagome lattice can be presented as a set of stars which are arranged in a triangular lattice and contain 12 spins.…

Strongly Correlated Electrons · Physics 2007-05-23 A. V. Syromyatnikov , S. V. Maleyev

An effective Hamiltonian for the localized spins in the one-dimensional Kondo lattice model is derived via a unitary transformation involving a bosonization of delocalized conduction electrons. The effective Hamiltonian is shown to…

Strongly Correlated Electrons · Physics 2009-10-30 Graeme Honner , Miklos Gulacsi

We study low temperature properties of atomic gases in trimerized optical kagom\'{e} lattices. The laser arrangements that can be used to create these lattices are briefly described. We also present explicit results for the coupling…

Other Condensed Matter · Physics 2009-11-11 B. Damski , H. Fehrmann , H. -U. Everts , M. Baranov , L. Santos , M. Lewenstein

We study low-energy properties of spin-$S$ Kitaev models in an anisotropic limit. The effective form of a local conserved quantity is derived in the low-energy subspace. We find this is the same as that of $S=1/2$ case for the half-integer…

Strongly Correlated Electrons · Physics 2019-03-11 Tetsuya Minakawa , Joji Nasu , Akihisa Koga

The effect of the quenched bond-randomness on the ordering of the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice is investigated by means of an exact-diagonalization method. When the randomness exceeds a critical value,…

Strongly Correlated Electrons · Physics 2015-08-18 Hikaru Kawamura , Ken Watanabe , Tokuro Shimokawa

Coherent states offer a promising path for near-term quantum computing due to their inherent protection against bit-flip noise. However, their large photon numbers can be challenging for numerical simulation. This paper introduces an…

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

Using field-theoretic techniques, we study the $SU(3)$ analogue of anti-ferromagnetic Heisenberg spin model on the triangular lattice putting the $p$-box symmetric representation on each site. Taking the large-$p$ limit, we show that the…

Strongly Correlated Electrons · Physics 2021-12-30 Itsuki Takahashi , Yuya Tanizaki