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The Kugel-Khomskii Hamiltonian for cubic titanates describes spin and orbital superexchange interactions between $d^1$ ions having three-fold degenerate $t_{2g}$ orbitals. Since orbitals do not couple along "inactive" axes, perpendicular to…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , Taner Yildirim , Amnon Aharony , Ora Entin-Wohlman , I. Ya. Korenblit

We present studies of thermal entanglement of a three-spin system in triangular symmetry. Spin correlations are described within an effective Heisenberg Hamiltonian, derived from the Hubbard Hamiltonian, with super-exchange couplings…

Mesoscale and Nanoscale Physics · Physics 2013-12-13 M. Urbaniak , S. B. Tooski , A. Ramsak , B. R. Bulka

Spontaneous symmetry breaking is a universal concept throughout science. For instance, the Landau-Ginzburg paradigm of translational symmetry breaking underlies the classification of nearly all quantum phases of matter and explains the…

We study three proposals for broken symmetry in the cuprate pseudogap - oxygen antiferromagnetism, $\Theta_{II}$ orbital loop currents, and circulating currents involving apex oxygens - through numerical exploration of multi-orbital Hubbard…

Superconductivity · Physics 2014-12-08 Y. F. Kung , C. -C. Chen , B. Moritz , S. Johnston , R. Thomale , T. P. Devereaux

A detailed investigation of lowest excitations in two-dimensional Gaussian spin glasses is presented. We show the existence of a new zero-temperature exponent lambda describing the relative number of finite-volume excitations with respect…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. Picco , F. Ritort , M. Sales

We consider the quantum spin ice models in the planar pyrochlore lattice. The models are obtained by perturbing the Ising model with different lattice symmetry preserving quantum fluctuations. We map these models to a compact U(1) lattice…

Strongly Correlated Electrons · Physics 2023-06-06 Zijian Xiong

We consider the estimation of an unknown parameter $\theta$ through a quantum probe at thermal equilibrium. The probe is assumed to be in a Gibbs state according to its Hamiltonian $H_\theta$, which is divided in a parameter-encoding term…

Quantum Physics · Physics 2026-01-23 Paolo Abiuso , Pavel Sekatski , John Calsamiglia , Martí Perarnau-Llobet

The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated by recent experiments on the Yb-based breathing pyrochlore…

Strongly Correlated Electrons · Physics 2016-08-23 Lucile Savary , Xiaoqun Wang , Hae-Young Kee , Yong Baek Kim , Yue Yu , Gang Chen

A rich variety of physical effects in spin dynamics arises at the interface between different magnetic materials. Engineered systems with interlaced magnetic structures have been used to implement spin transistors, memories and other…

Frustrated magnetism in the pyrochlore lattice magnet has proven to be a most fruitful setting for the experimental and theoretical search for spin liquids. Besides the canonical case of spin ice, recent works have identified a variety of…

Strongly Correlated Electrons · Physics 2025-04-03 Daniel Lozano-Gómez , Owen Benton , Michel J. P. Gingras , Han Yan

The field theory of a short range spin glass with Gaussian random interactions, is considered near the upper critical dimension six. In the glassy phase, replica symmetry breaking is accompanied with massless Goldstone modes, generated by…

Condensed Matter · Physics 2009-11-07 E. Brézin , C. De Dominicis

We study the spin waves of the triangular skyrmion crystal that emerges in a two dimensional spin lattice model as a result of the competition between Heisenberg exchange, Dzyalonshinkii-Moriya interactions, Zeeman coupling and uniaxial…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 A. Roldán-Molina , A. S. Nunez , J. Fernández-Rossier

Study of the combined effects of strong electronic correlations with spin-orbit coupling (SOC) represents a central issue in quantum materials research. Predicting emergent properties represents a huge theoretical problem since the presence…

Strongly Correlated Electrons · Physics 2017-02-14 L. Lu , M. Song , W. Liu , A. P. Reyes , P. Kuhns , H. O. Lee , I. R. Fisher , V. F. Mitrović

Classical spin liquids are disordered magnetic phases, governed by local constraints that often give rise to flat-band ground states. When constraints take the form of a zero-divergence field within a cluster of spins, the spin liquid is…

Strongly Correlated Electrons · Physics 2026-01-30 Naïmo Davier , Ludovic D. C. Jaubert

A recent experiment has reported oscillations of the thermal conductivity of $\alpha$-RuCl$_3$ driven by an in-plane magnetic field that are reminiscent of the quantum oscillations in metals. At first glance, these observations are…

Strongly Correlated Electrons · Physics 2021-12-02 Inti Sodemann Villadiego

Motivated by the analogy between a weak field expansion of general relativity and Maxwell's laws of electrodynamics, we explore physical consequences of a parity violating $\theta$ term in gravitoelectromagnetism. This is distinct from the…

General Relativity and Quantum Cosmology · Physics 2020-11-13 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

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

Using $\vec{k}$$\cdot$$\vec{p}$ theory, we derive an effective four band model describing the physics of the typical two-dimensional topological insulator (HgTe/CdTe quantum well) in the presence of out-of-plane in z-direction inversion…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. G. Rothe , R. W. Reinthaler , C. -X. Liu , L. W. Molenkamp , S. -C. Zhang , E. M. Hankiewicz

We discuss magnetization curves of a toy-model trigonal and tetrahedral clusters. Nonlinearity of magnetization with local minimum of differential susceptibility resembling known magnetization plateaus of triangular-lattice and pyrochlore…

Strongly Correlated Electrons · Physics 2019-06-26 V. N. Glazkov

We theoretically consider coherence times for spins in two quantum computer architectures, where the qubit is the spin of an electron bound to a P donor impurity in Si or within a GaAs quantum dot. We show that low temperature decoherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Rogerio de Sousa , S. Das Sarma