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By including a material-relevant off-diagonal interaction called the $\Gamma$ term into the Kitaev model and introducing spatial anisotropy in the interaction strength on the honeycomb lattice, we obtain a series of nodal Z$_2$ quantum spin…

Strongly Correlated Electrons · Physics 2020-09-15 Jiucai Wang , Zheng-Xin Liu

Quasiparticle collapsing is a central issue in the study of strongly correlated electron systems. In the one-dimensional case, the quasiparticle collapsing in a form of spin-charge separation has been well established, but the problem…

Strongly Correlated Electrons · Physics 2016-01-06 Zheng Zhu , Zheng-Yu Weng

We report on our investigation of the low-lying energy spectra and charge density of a two-dimensional quantum Hall liquid at $\nu=\frac25$ that is Coulomb coupled to a quantum dot. The dot contains a hole and two/three electrons. We found…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. M. Apalkov , Tapash Chakraborty , C. Schuller

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

Recent advances in material synthesis made it possible to realize two-dimensional monolayers of candidate materials for a quantum spin liquid (QSL) such as $\alpha$-RuCl$_3$,1T-TaSe$_2$ and 1T-TaS$_2$. In this work, we propose an…

Strongly Correlated Electrons · Physics 2023-07-27 Raffaele Mazzilli , Alex Levchenko , Elio J. König

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…

It has been suggested that the nearest-neighbour (NN) antiferromagnetic Heisenberg (HAF) model on the Kagome lattice may be a good starting point to understand the quantum spin-liquid (QSL) behaviour discovered in Herbertsmithite. We…

Strongly Correlated Electrons · Physics 2014-01-16 Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

A quantum spin liquid (QSL) is an exotic state of matter in which electrons' spins are quantum entangled over long distances, but do not show symmetry-breaking magnetic order in the zero-temperature limit. The observation of QSL states is a…

Strongly Correlated Electrons · Physics 2017-03-08 J. A. M. Paddison , M. Daum , Z. L. Dun , G. Ehlers , Y. Liu , M. B. Stone , H. D. Zhou , M. Mourigal

The dynamics of charge carriers in lattices of quantum spins is a long standing and fundamental problem. Recently, a new generation of quantum simulation experiments based on atoms in optical lattices has emerged that gives unprecedented…

Strongly Correlated Electrons · Physics 2022-11-09 Jens H. Nyhegn , Kristian K. Nielsen , Georg M. Bruun

We revisit the problem of dynamical response in spin-charge separated one dimensional quantum fluids. In the framework of Luttinger liquid theory, the dynamical response is formulated in terms of noninteracting bosonic collective…

Strongly Correlated Electrons · Physics 2015-07-01 F. H. L. Essler , R. G. Pereira , I. Schneider

Quantum Spin Liquids (QSLs) are phases of interacting spins that do not order even at the absolute zero temperature, making it impossible to characterize them by a local order parameter. In this article, we review the unique view provided…

Strongly Correlated Electrons · Physics 2013-02-06 Tarun Grover , Yi Zhang , Ashvin Vishwanath

A quantum spin liquid (QSL) is an exotic quantum state of matter characterized by fluctuating spins which may exhibit long-range entanglement. Among the possible host candidates for a QSL ground state, the $S$=1/2 kagome lattice…

We study a lattice realization of a Luttinger liquid interacting with a bath of quantum spins in terms of an antiferromagnetic S=1/2 Heisenberg chain, where each spin is also coupled to a \sigma=1/2 Kondo spin degree of freedom. This model…

Strongly Correlated Electrons · Physics 2007-09-12 F. H. L. Essler , T. Kuzmenko , I. A. Zaliznyak

A doped Mott insulator exhibits peculiar properties associated with its singular sign structure. As a case study, we investigate the ground state and excitations of finite-size Heisenberg loops doped with one hole by exact diagonalization.…

Strongly Correlated Electrons · Physics 2018-10-22 Wayne Zheng , Zheng-Yu Weng

We study the phase diagram and the dynamical spin structure factor of the spin-1/2 J1-J3 Heisenberg model on the square lattice using density matrix renormalization group, exact diagonalization (ED), and cluster perturbation theory (CPT).…

Strongly Correlated Electrons · Physics 2022-09-20 Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

Luttinger liquid theory accounts for the low energy boson excitations of one-dimensional quantum liquids, but disregards the high energy excitations. The most important high energy excitations are holes which have infinite lifetime at zero…

Strongly Correlated Electrons · Physics 2015-06-04 K. A. Matveev , A. V. Andreev

A quantum spin liquid (QSL) arises from a highly entangled superposition of many degenerate classical ground states in a frustrated magnet, and is characterized by emergent gauge fields and deconfined fractionalized excitations (spinons).…

Strongly Correlated Electrons · Physics 2025-06-24 Bin Gao , Félix Desrochers , David W. Tam , Paul Steffens , Arno Hiess , Yixi Su , Sang-Wook Cheong , Yong Baek Kim , Pengcheng Dai

The emergence of a quantum spin liquid (QSL), a state of matter that can result when electron spins are highly correlated but do not become ordered, has been the subject of a considerable body of research in condensed matter physics. Spin…

We investigate the properties of the two-dimensional frustrated quantum antiferromagnet on the square lattice, especially at infinitesimal doping. We find that next nearest neighbor (N.N.) J2 and next-next N.N. J3 interactions together…

Strongly Correlated Electrons · Physics 2015-06-25 D. Poilblanc , M. Mambrini , A. Laeuchli , F. Mila

The momentum bands, energy dispersions, and velocities of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length $L$ in the one-…

Strongly Correlated Electrons · Physics 2015-05-13 J. M. P. Carmelo