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Related papers: Effective spin-1/2 exchange interactions in Tb$_2$…

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We show that atoms trapped in micro-cavities that interact via exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 chain in an external magnetic field. All parameters of the effective Hamiltonian can individually be…

Quantum Physics · Physics 2009-11-13 Michael J. Hartmann , Fernando G. S. L. Brandao , Martin B. Plenio

The pyrochlore material $\rm Ho_{2}Ti_{2}O_{7}$ has been suggested to show ``spin ice'' behaviour. We present neutron scattering and specific heat results that establish unambiguously that Ho$_2$Ti$_2$O$_7$ exhibits spin ice correlations at…

The whole entanglement measure so-called geometric $\Pi_4$ average of tangles and bipartite entanglement of the antiferromagnetic spin-1/2 XXX Heisenberg model on a tetranuclear square cluster with cyclic four-spin interaction are…

Statistical Mechanics · Physics 2022-06-07 Hamid Arian Zad , Azam Zoshki , Nerses Ananikian , Michal Jaščur

We consider the mapping of tight-binding electronic structure theory to a local spin Hamiltonian, based on the adiabatic approximation for spin degrees of freedom in itinerant-electron systems. Local spin Hamiltonians are introduced in…

We investigated the possibility of temperature dependent lattice distortions in the pyrochlore compound Tb$_{2}$Ti$_{2}$O$_{7}$ by measuring the internal magnetic field distribution, using muon spin resonance, and comparing it to the…

Strongly Correlated Electrons · Physics 2015-06-25 Oren Ofer , Amit Keren , Chris Baines , Jason S. Gardner

We present high-resolution single crystal time-of-flight neutron scattering measurements on the candidate quantum spin liquid pyrochlore Tb2Ti2O7 at low temperature and in a magnetic field. At ~70 mK and in zero field, Tb2Ti2O7 reveals…

Strongly Correlated Electrons · Physics 2013-04-16 K. Fritsch , K. A. Ross , Y. Qiu , J. R. D. Copley , T. Guidi , R. I. Bewley , H. A. Dabkowska , B. D. Gaulin

The exactly solvable Kitaev honeycomb lattice model is realized as the low energy effect Hamiltonian of a spin-1/2 model with spin rotation and time-reversal symmetry. The mapping to low energy effective Hamiltonian is exact, without…

Strongly Correlated Electrons · Physics 2010-05-20 Fa Wang

We report the low temperature magnetic properties of the pyrochlore Pr$_2$Hf$_2$O$_7$. Polycrystalline and single-crystal samples are investigated using time-of-flight neutron spectroscopy and macroscopic measurements, respectively. The…

Neutron scattering and magnetization measurements have been performed on the stuffed pyrochlore system Tb2+xTi2-2xNbxO7. We find that despite the introduction of chemical disorder and increasingly antiferromagnetic interactions, a spin…

Strongly Correlated Electrons · Physics 2010-02-25 B. G. Ueland , J. S. Gardner , A. J. Williams , M. L. Dahlberg , J. G. Kim , Y. Qiu , J. R. D. Copley , P. Schiffer , R. J. Cava

The isotropic S=1/2 antiferromagnetic spin ladder with additional four-spin ring exchange is studied perturbatively in the strong coupling regime with the help of cluster expansion technique, and by means of bosonization in the weak…

Strongly Correlated Electrons · Physics 2009-11-07 M. Mueller , T. Vekua , H. -J. Mikeska

Under the second-order degenerate perturbation theory, we show that the physics of $N$ particles with arbitrary spin confined in a one dimensional trap in the strongly interacting regime can be described by super-exchange interaction. An…

Quantum Gases · Physics 2015-04-30 Li Yang , Liming Guan , Han Pu

We use numerical linked cluster (NLC) expansions to compute the specific heat, C(T), and entropy, S(T), of a quantum spin ice model of Yb2Ti2O7 using anisotropic exchange interactions recently determined from inelastic neutron scattering…

Strongly Correlated Electrons · Physics 2012-10-11 R. Applegate , N. R. Hayre , R. R. P. Singh , T. Lin , A. G. R. Day , M. J. P. Gingras

Magnetization and susceptibility studies on single crystals of the pyrochlore Ho$_{2}$Ti$_{2}$O$_{7}$ are reported for the first time. Magnetization isotherms are shown to be qualitatively similar to that predicted by the nearest neighbor…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. L. Cornelius , J. S. Gardner

The current efforts to find the materials hosting Kitaev model physics have been focused on Mott insulators of d^5 pseudospin-1/2 ions Ir^{4+} and Ru^{3+} with t_{2g}^5(S=1/2, L=1) electronic configuration. Here we propose that the Kitaev…

Strongly Correlated Electrons · Physics 2018-01-11 Huimei Liu , Giniyat Khaliullin

Inelastic neutron scattering was used to determine the spin Hamiltonian for the singlet ground state system of fully deuterated BPCB, (C$_{5}$D$_{12}$N)$_{2}$CuBr$_{4}$. A 2-leg spin-1/2 ladder model, with $J_\bot = (1.09 \pm 0.01)$ meV and…

Spin-only descriptions of the half-filled one-band Hubbard model are relevant for a wide range of Mott insulators. In addition to the usual Heisenberg exchange, many new types of interactions, including ring exchange, appear in the…

Strongly Correlated Electrons · Physics 2009-06-26 J. -Y. P. Delannoy , M. J. P. Gingras , P. C. W. Holdsworth , A. -M. S. Tremblay

We report on the observation of the spin-exchange dynamics of $^{171}\mathrm{Yb}$ atoms in the ground state $^1\mathrm{S}_0$ and in the metastable state $^3\mathrm{P}_0$. We implement the mixed-dimensional two-orbital system using a…

Quantum Gases · Physics 2021-05-05 Koki Ono , Yoshiki Amano , Toshiya Higomoto , Yugo Saito , Yoshiro Takahashi

We report that the lattice constant of Dy$_2$Ge$_{2-x}$Si$_x$O$_7$ ($x=0, 0.02, 0.08, 0.125$) can be systematically reduced by substituting the non-magnetic germanium ion in the cubic pyrochlore oxide with silicon. A multi-anvil…

We present a microscopic model of the spin-gap quantum magnet (CuCl)LaNb2O7 that was previously suggested as a realization of the spin-1/2 frustrated square lattice. Taking advantage of the precise atomic positions from recent crystal…

Strongly Correlated Electrons · Physics 2010-08-30 Alexander A. Tsirlin , Helge Rosner

The spin-1/2 Ising model on the bow-tie lattice is exactly solved by establishing a precise mapping relationship with its corresponding free-fermion eight-vertex model. Ground-state and finite-temperature phase diagrams are obtained for the…

Statistical Mechanics · Physics 2008-07-25 Jozef Strecka , Lucia Canova