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We discuss the conclusions on the symmetry of hidden order (HO) in URu2Si2 that may be drawn from recent torque experiments in rotating magnetic field by Okazaki et al. [1]. They are very sensitive to changes in the magnetic susceptibility…

Strongly Correlated Electrons · Physics 2015-05-27 Peter Thalmeier , Tetsuya Takimoto

The heavy fermion intermetallic compound URu2Si2 exhibits a "hidden-order" phase below the temperature of 17.5 K, which supports both anomalous metallic behavior and unconventional superconductivity. While these individual phenomena have…

We study several aspects of the regular deformations of completely integrable systems. Namely, we prove the existence of a Hamiltonian normal form for these deformations and we show the necessary and sufficient conditions a perturbation has…

Symplectic Geometry · Mathematics 2007-05-23 Nicolas Roy

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 classical Heisenberg antiferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Bellier-Castella , M. J. P. Gingras , P. C. W. Holdsworth , R. Moessner

The square lattice antiferromagnet with frustrating next nearest neighbour coupling continues to generate tremendous interest, with an elusive quantum disordered phase in the vicinity of $J_2$ = $J_1$/2. At this precise value of…

Strongly Correlated Electrons · Physics 2016-10-05 Bimla Danu , Gautam Nambiar , R. Ganesh

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

We experimentally investigate the symmetry in the Hidden Order (HO) phase of intermetallic URu2Si2 by mapping the lattice and magnetic excitations via inelastic neutron and x-ray scattering measurements in the HO and high-temperature…

The development of collective long-range order via phase transitions occurs by the spontaneous breaking of fundamental symmetries. Magnetism is a consequence of broken time-reversal symmetry while superfluidity results from broken gauge…

Strongly Correlated Electrons · Physics 2013-02-01 Premala Chandra , Piers Coleman , Rebecca Flint

Using a large-N approach, we demonstrate that the differential conductance and quasi-particle interference pattern measured in recent scanning tunneling spectroscopy experiments (A.R. Schmidt et al. Nature 465, 570 (2010); P. Aynajian et…

Strongly Correlated Electrons · Physics 2012-09-18 Ting Yuan , Jeremy Figgins , Dirk K. Morr

Two geometrically frustrated pyrochlore stannates, undergoing long range magnetic order below 1K, were investigated at very low temperature. Anomalies in the behaviour of hyperfine quantities are found, by 155Gd Mossbauer spectroscopy in…

Strongly Correlated Electrons · Physics 2009-11-13 P. Bonville , I. Mirebeau , J. P. Sanchez

Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalisation of excitations in three dimensions all stem from a…

We propose and study a generalization of Kitaev's $\mathbb Z_2$ toric code on a square lattice with an additional global $U(1)$ symmetry. Using Quantum Monte Carlo simulation, we find strong evidence for a topologically ordered ground state…

Strongly Correlated Electrons · Physics 2023-11-28 Kai-Hsin Wu , Alexey Khudorozhkov , Guilherme Delfino , Dmitry Green , Claudio Chamon

We investigate theoretically the phase diagram of a classical Heisenberg antiferromagnet on the pyrochlore lattice perturbed by a weak second-neighbor interaction J_2. The huge ground state degeneracy of the nearest-neighbor Heisenberg…

Strongly Correlated Electrons · Physics 2009-07-17 Gia-Wei Chern , R. Moessner , O. Tchernyshyov

In this article we report the structural stability of Er$_2$Ti$_2$O$_7$ cubic pyrochlore with pressure using x-ray diffraction, Raman spectroscopy, photoluminescence, x-ray absorption and ab-initio calculations. Our studies establish a…

Materials Science · Physics 2024-06-07 M. Modak , Rahul Kaiwart , Santosh K. Gupta , A. Dwivedi , K. K. Pandey , A. K. Poswal , H. K. Poswal

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

Strongly Correlated Electrons · Physics 2017-02-16 Hirokazu Tsunetsugu

When magnetic moments are subject to competing or frustrated interactions, continuous degeneracies that are not protected by any symmetry of the parent Hamiltonian can emerge at the classical (mean-field) level. Such "accidental"…

Strongly Correlated Electrons · Physics 2025-05-27 Alexander Hickey , Jeffrey G. Rau , Subhankar Khatua , Michel J. P. Gingras

A second-order phase transition is characterized by spontaneous symmetry breaking. The nature of the broken symmetry in the so-called "hidden order" phase transition in the heavy fermion compound URu2Si2, at transition temperature T_h=17.5…

Strongly Correlated Electrons · Physics 2011-07-28 R. Okazaki , T. Shibauchi , H. J. Shi , Y. Haga , T. D. Matsuda , E. Yamamoto , Y. Onuki , H. Ikeda , Y. Matsuda

Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

Strongly Correlated Electrons · Physics 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents

It is shown that the mechanism of order out of disorder is at work in the antisymmetric pyrochlore antiferromagnet. Quantum as well as thermal fluctuations break the continuous degeneracy of the classical ground state manifold and reduce…

Strongly Correlated Electrons · Physics 2009-11-13 Benjamin Canals , Maged Elhajal , Claudine Lacroix