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We develop a microscopic theory of multipole interactions and orderings in 5$d^2$ transition metal ion compounds. In a cubic environment, the ground state of 5$d^2$ ions is a non-Kramers $E_g$ doublet, which is nonmagnetic but hosts…

Strongly Correlated Electrons · Physics 2021-08-25 Giniyat Khaliullin , Derek Churchill , P. Peter Stavropoulos , Hae-Young Kee

We consider possible exotic ground states of quantum spin ice as realized in rare earth pyrochlores. Prior work in Phys. Rev. Lett. 108, 037202 introduced a gauge mean field theory (gMFT) to treat spin or pseudospin Hamiltonians for such…

Strongly Correlated Electrons · Physics 2015-06-04 SungBin Lee , Shigeki Onoda , Leon Balents

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

Strongly Correlated Electrons · Physics 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

Recent excitement in the quantum spin ice community has come from the experimental discovery of pseudospin-$1/2$ breathing pyrochlores, including Ba$_3$Yb$_2$Zn$_5$O$_{11}$, in which inversion symmetry is broken by the `up' and `down'…

Strongly Correlated Electrons · Physics 2024-05-14 Alaric Sanders , Claudio Castelnovo

Quantum spin networks having engineered geometries and interactions are eagerly pursued for quantum simulation and access to emergent quantum phenomena such as spin liquids. Spin-1/2 centers are particularly desirable because they readily…

Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as "artificial magnetostatics", manifesting as Coulombic power-law spin correlations and particles behaving as…

Strongly Correlated Electrons · Physics 2011-10-11 Kate A. Ross , Lucile Savary , Bruce D. Gaulin , Leon Balents

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

Statistical Mechanics · Physics 2013-09-18 Angel J. Garcia-Adeva

Motivated by recent neutron scattering experiments, we derive and study an effective "pseudo-dipolar" spin-1/2 model for the XY pyrochlore antiferromagnet Er2Ti2O7. While a bond-dependent in-plane exchange anisotropy removes any continuous…

Strongly Correlated Electrons · Physics 2012-08-17 M. E. Zhitomirsky , M. V. Gvozdikova , P. C. W. Holdsworth , R. Moessner

To gain deeper insight into the dynamics of complex quantum systems we need a quantum leap in computer simulations. We can not translate quantum behaviour arising with superposition states or entanglement efficiently into the classical…

Quantum Physics · Physics 2008-02-28 Axel Friedenauer , Hector Schmitz , Jan Tibor Glückert , Diego Porras , Tobias Schätz

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

Magnetic phase transitions between ordered phases are often understood on the basis of semi-classical spin models. Deviations from the classical description due to the quantum nature of the atomic spins as well as quantum fluctuations are…

Strongly Correlated Electrons · Physics 2026-05-19 Tobias Dannegger , Imre Hagymási , Levente Rózsa , Ulrich Nowak

A theory of Kondo lattices is developed for the t-J model on a square lattice. The spin susceptibility is described in a form consistent with a physical picture of Kondo lattices: Local spin fluctuations at different sites interact with…

Superconductivity · Physics 2009-11-10 Fusayoshi J. Ohkawa

We develop a non-perturbative "gauge Mean Field Theory" (gMFT) method to study a general effective spin-1/2 model for magnetism in rare earth pyrochlores. gMFT is based on a novel exact slave-particle formulation, and matches both the…

Strongly Correlated Electrons · Physics 2012-01-24 Lucile Savary , Leon Balents

We investigate quantum phase transitions in the spin-1/2 Heisenberg antiferromagnet on square lattices with inhomogeneous bond dilution. It is shown that quantum fluctuations can be continuously tuned by inhomogeneous bond dilution,…

Strongly Correlated Electrons · Physics 2009-11-11 Rong Yu , Tommaso Roscilde , Stephan Haas

Muon spin rotation and relaxation experiments in the pyrochlore iridate Eu2Ir2O7 yield a well-defined muon spin precession frequency below the metal-insulator/antiferromagnetic transition temperature TM = 120 K, indicative of long-range…

Strongly Correlated Electrons · Physics 2015-03-19 Songrui Zhao. J. M. Mackie , D. E. MacLaughlin , O. O. Bernal , J. J. Ishikawa , Y. Ohta , S. Nakatsuji

Quantum spin liquids are long-range entangled phases whose magnetic correlations are determined by strong quantum fluctuations. While an overarching principle specifying the precise microscopic coupling scenarios for which quantum…

Strongly Correlated Electrons · Physics 2020-01-08 Nils Niggemann , Max Hering , Johannes Reuther

The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic state with an emergent gauge freedom. Remarkably, the spin ices provide one of very few…

Strongly Correlated Electrons · Physics 2014-07-29 Michel J. P. Gingras , Paul A. McClarty

We investigate the magnetic-field dependence of the interaction between two Rydberg atoms, $|nS_{1/2}, m_J\rangle$ and $|(n+1)S_{1/2}, m_J\rangle$. In this setting, the effective spin-1/2 Hamiltonian takes the form of an {\it XXZ} model. We…

Quantum Gases · Physics 2025-11-07 Masaya Kunimi , Takafumi Tomita

Controlling electron spins strongly coupled to magnetic and nuclear spins in solid state systems is an important challenege in the field of spintronics and quantum computation. We show here that electron droplets with no net spin in…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Ramin M. Abolfath , Marek Korkusinski , Thomas Brabec , Pawel Hawrylak

Pyrochlore materials are characterized by their hallmark network of corner-sharing rare-earth tetrahedra, which can produce a wide array of complex magnetic ground states. Ferromagnetic Ising pyrochlores often obey the "two-in-two-out" spin…

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