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The Tb$_2$Ti$_2$O$_7$ pyrochlore magnetic material is attracting much attention for its {\em spin liquid} state, failing to develop long range order down to 50 mK despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K. In this paper…

Statistical Mechanics · Physics 2007-05-23 Hamid R. Molavian , Michel J. P. Gingras , Benjamin Canals

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We point out the emergence of magnetism from the interplay of electron quasi-itinerancy and quantum order by disorder in pyrochlore iridates. Like other Mott insulating iridates, the Ir$^{4+}$ ion in pyrochlore iridates develops an…

Strongly Correlated Electrons · Physics 2020-12-22 Gang Chen , Xiaoqun Wang

We report detailed measurements of the low temperature magnetic phase diagram of Er$_2$Ti$_2$O$_7$. Heat capacity and time-of-flight neutron scattering studies of single crystals, subject to magnetic fields applied along the…

Strongly Correlated Electrons · Physics 2012-07-16 J. P. C. Ruff , J. P. Clancy , A. Bourque , M. A. White , M. Ramazanoglu , J. S. Gardner , Y. Qiu , J. R. D. Copley , H. A. Dabkowska , B. D. Gaulin

We review recent studies of spin dynamics in rare-earth orthorhombic perovskite oxides of the type $RM$O$_3$, where $R$ is a rare-earth ion and $M$ is a transition-metal ion, using single-crystal inelastic neutron scattering (INS). After a…

Strongly Correlated Electrons · Physics 2021-07-28 A. Podlesnyak , S. Nikitin , G. Ehlers

We give a quantitative analysis of the previously published nuclear magnetic resonance (NMR) experiments in the k-(ET)2X family of organic charge transfer salts by using the phenomenological spin fluctuation model of Moriya, and Millis,…

Strongly Correlated Electrons · Physics 2009-11-13 Eddy Yusuf , B. J. Powell , Ross H. McKenzie

We study the effect of site dilution and quantum fluctuations in an antiferromagnetic spin system on a square lattice within the linear spin-wave approximation. By performing numerical diagonalization in real space and finite-size scaling,…

Strongly Correlated Electrons · Physics 2009-11-10 Eduardo R. Mucciolo , A. H. Castro Neto , C. Chamon

From a microscopic model for the pyrochlore antiferromagnet Tb2Sn2O7, including the crystal field Hamiltonian and interactions between the angular momenta, we compute an effective pseudospin-1/2 Hamiltonian Heff$ that incorporates…

Statistical Mechanics · Physics 2010-11-30 Paul A. McClarty , Pawel Stasiak , Michel J. P. Gingras

Multipolar magnetism is an emerging field of quantum materials research. The building blocks of multipolar phenomena are magnetic ions with a non-Kramers doublet, where the orbital and spin degrees of freedom are inextricably intertwined,…

Strongly Correlated Electrons · Physics 2020-07-08 Adarsh S. Patri , Masashi Hosoi , SungBin Lee , Yong Baek Kim

Magnetic structures of organic Mott insulators X[Pd(dmit)2]2 (X=Me4P, Me4Sb), of which electronic states are located near quantum spin liquid (X=EtMe3Sb), are demonstrated by 13C NMR. Antiferromagnetic spectra and nuclear relaxations show…

Strongly Correlated Electrons · Physics 2019-05-01 Shigeki Fujiyama , Reizo Kato

We study the ground state quantum spin fluctuations around the N\'eel ordered state for the one-band ($t,U$) Hubbard model on a site-diluted square lattice. An effective spin Hamiltonian, $H_{\rm s}^{(4)}$, is generated using the canonical…

Statistical Mechanics · Physics 2009-06-13 J. -Y. P. Delannoy , A. G. Del Maestro , M. J. P. Gingras , P. C. W. Holdsworth

The interplay of crystal electric field, temperature, and spin-orbit coupling can yield a Kramers ion and thus an effective S = 1/2 ground state for Co2+ ions (3d7), which is often the case for low dimensional materials. This is because a…

Materials Science · Physics 2025-04-01 Lun Jin , Robert J. Cava

Spin reorientation is an important phenomenon of rare-earth perovskites, orthoferrites and orthochromites. In this study, we consider a simple but realistic microscopic theory of the spontaneous spin-reorientation transitions induced by the…

Strongly Correlated Electrons · Physics 2023-01-31 A. S. Moskvin , E. V. Vasinovich , A. V. Shadrin

Spin fluctuation-induced superconductivity in quasi-two dimensional organic compounds, \kappa-BEDT-TTF salts, is investigated within a fluctuation exchange (FLEX) approximation using a half-filled Hubbard model with a right-angled isosceles…

Superconductivity · Physics 2016-08-15 Hisashi Kondo , Tôru Moriya

Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero temperature phase transitions - quantum critical points - in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of…

Strongly Correlated Electrons · Physics 2014-12-05 Lucile Savary , Eun-Gook Moon , Leon Balents

The anomalous transport and thermodynamic properties in the quantum-critical region, in the cuprates, and in the quasi-two dimensional Fe-based superconductors and heavy-fermion compounds, have the same temperature dependences. This can…

Strongly Correlated Electrons · Physics 2016-07-27 Chandra M. Varma

The hidden ordered state of the frustrated pyrochlore oxide Tb$_{2+x}$Ti$_{2-x}$O$_{7+y}$ is possibly one of the two electric multipolar, or quadrupolar, states of the effective pseudospin-1/2 Hamiltonian derived from crystal-field ground…

Strongly Correlated Electrons · Physics 2021-07-02 H. Kadowaki , H. Takatsu , T. Taniguchi , B. Fåk , J. Ollivier

We develop anisotropic pseudo-spin antiferromagnetic Heisenberg models for monoclinically distorted double perovskites. We focus on these A$_2$BB'O$_6$ materials that have magnetic moments on the 4d or 5d transition metal B' ions, which…

Strongly Correlated Electrons · Physics 2011-12-12 Tyler Dodds , Ting-Pong Choy , Yong Baek Kim

In a quantum spin liquid, the magnetic moments of the constituent electron spins evade classical long-range order to form an exotic state that is quantum entangled and coherent over macroscopic length scales [1-2]. Such phases offer…