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The quantum pyrochlore antiferromagnet is studied by perturbative expansions and exact diagonalization of small clusters. We find that the ground state is a spin-liquid state: The spin-spin correlation functions decay exponentially with…

Strongly Correlated Electrons · Physics 2009-10-31 Benjamin Canals , Claudine Lacroix

We consider a class of geometrically frustrated Heisenberg spin systems which admit exact ground states. The systems consist of suitably coupled antiferromagnetic spin trimers with integer spin quantum numbers $s$ and their ground state…

Strongly Correlated Electrons · Physics 2015-05-19 Heinz-Jürgen Schmidt , Johannes Richter

We have composed the ideas of quantum renormalization group and quantum information by exploring the low energy states dynamic of entanglement resources of a system close to its quantum critical point. We demonstrate the low energy states…

Quantum Physics · Physics 2010-11-25 R. Jafari

Supercurrent transport is experimentally studied in a Josephson junction hosting a double quantum dot (DQD) with tunable symmetries. The QDs are parallel-coupled to two superconducting contacts and can be tuned between strong inter-dot…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Rousan Debbarma , Markus Aspegren , Florinda Viñas Boström , Sebastian Lehmann , Kimberly Dick , Claes Thelander

Exact diagonalization of finite spin-1/2 chains with periodic boundary conditions is applied to the ground state (gs) of chains with ferromagnetic (F) exchange $J_1 < 0$between first neighbors, antiferromagnetic (AF) exchange $J_2 = \alpha…

Strongly Correlated Electrons · Physics 2012-05-15 Manoranjan Kumar , Zoltán G. Soos

The time-dynamics of quantum correlations in the quantum transverse anisotropic XY spin chain of infinite length is studied at zero as well as finite temperatures. The evolution occurs due to the instantaneous quenching of the coupling…

Quantum Physics · Physics 2016-04-19 Utkarsh Mishra , Debraj Rakshit , R. Prabhu

The non-Hermitian model exhibits counterintuitive phenomena that are not observed in the Hermitian counterparts. To probe the competition between non-Hermitian and Hermitian interacting components of the Hamiltonian, we focus on a system…

Dynamics of entanglement is investigated on the basis of exactly solvable models of multiple-quantum (MQ) NMR spin dynamics. It is shown that the time evolution of MQ coherences of systems of coupled nuclear spins in solids is directly…

Quantum Physics · Physics 2009-11-10 S. I. Doronin

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

We study the magnetization process of a 1D extended Heisenberg model, the $J$-$Q$ model, as a function of an external magnetic field. In this model, $J$ represents the traditional antiferromagnetic Heisenberg exchange and $Q$ is the…

Strongly Correlated Electrons · Physics 2017-05-30 Adam Iaizzi , Kedar Damle , Anders W. Sandvik

The ground state properties of an Ising chain with nearest ($J_{1}$) and next-nearest neighbor ($J_{2}$) interactions in a transverse field are investigated using the density matrix renormalization group and cluster mean-field theory…

Statistical Mechanics · Physics 2014-11-24 Somenath Jalal , Brijesh Kumar

We investigate the ground state of the $d^1$ spin-orbital model for triply degenerate $t_{2g}$ orbitals on a triangular lattice which unifies intrinsic frustration of spin and orbital interactions with geometrical frustration. Using full or…

Strongly Correlated Electrons · Physics 2011-03-14 Jiří Chaloupka , Andrzej M. Oleś

Correlation beyond entanglement is a subject of interest in quantum information. Here we have shown the existence of quantum correlation without entanglement in Heisenberg $XYZ$ spin model with external magnetic field, using different…

Quantum Physics · Physics 2020-03-24 Indrajith V S , R. Muthuganesan , R. Sankaranarayanan

We use the coupled cluster method (CCM) to study the zero-temperature ground-state (GS) properties of a spin-1/2 $J_{1}$--$J_{2}$ Heisenberg antiferromagnet on a triangular lattice with competing nearest-neighbor and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2015-01-26 Peggy H. Y. Li , Raymond F. Bishop , Charles E. Campbell

A classical-quantum chain composed of regularly alternating Ising and Heisenberg spins is rigorously solved by considering two distinct local anisotropy axes of the Ising spins. The ground-state phase diagram and magnetization curves are…

Strongly Correlated Electrons · Physics 2018-06-13 J. Torrico , J. Strecka , M. Hagiwara , O. Rojas , S. M. de Souza , Y. Han , Z. Honda , M. L. Lyra

In this manuscript, we study the non-Hermitian spin-1/2 XY model in the presence of the alternating, imaginary and transverse magnetic fields. For the two-site spin system, we solve exactly the energy spectrum and phase diagram, also…

Statistical Mechanics · Physics 2023-04-21 Yue Li , Pan-Pan Zhang , Li-Zhen Hu , Yu-Liang Xu , Xiang-Mu Kong

We have considered and alternating Heisenberg spin chain with nearest-neighbor ($J_1$), next-nearest neighbor ($J_2$) antiferromagnetic couplings along with z-component of the Dzyaloshinskii-Moriya(DM) ($D_z$) interactions. The Hamiltonian…

Strongly Correlated Electrons · Physics 2020-12-15 Abhiroop Lahiri , Swapan K Pati

A number of interesting features of the ground states of quantum spin chains are analized with the help of a functional integral representation of the system's equilibrium states. Methods of general applicability are introduced in the…

Condensed Matter · Physics 2009-10-22 Michael Aizenman , Bruno Nachtergaele

We investigate the influence of an inter-chain coupling on the spiral ground state correlations of a spin-1/2 Heisenberg model consisting of a two-dimensional array of coupled chains with nearest (J1) and frustrating next-nearest neighbor…

Strongly Correlated Electrons · Physics 2009-08-21 Ronald Zinke , Stefan-Ludwig Drechsler , Johannes Richter

We study the spin-$1\over2$ Heisenberg antiferromagnet with an antiferromagnetic $J_3$ (third nearest neighbor) interaction on a square lattice. We numerically diagonalize this ``$J_1$-$J_3$'' model on clusters up to 32-sites and search for…

Condensed Matter · Physics 2009-10-28 P. W. Leung , Ngar-wing Lam