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We show that the interplay of geometric criticality and quantum fluctuations leads to a novel universality class for the percolation quantum phase transition in diluted magnets. All critical exponents involving dynamical correlations are…

Strongly Correlated Electrons · Physics 2007-05-23 Thomas Vojta , Joerg Schmalian

Frustrated magnets exhibit unusual critical behaviors: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak first order phase transitions. Moreover, the…

Statistical Mechanics · Physics 2009-11-10 B. Delamotte , D. Mouhanna , M. Tissier

The origin of the strange metallic behavior observed in a wide range of quantum materials is an open challenge to condensed matter physics. Historically, strange metals were uniquely associated with antiferromagnetic quantum critical points…

Three-dimensional quantum percolation problems are studied by analyzing energy level statistics of electrons on maximally connected percolating clusters. The quantum percolation threshold $\pq$, which is larger than the classical…

Disordered Systems and Neural Networks · Physics 2009-10-31 Atsushi Kaneko , Tomi Ohtsuki

Effects of magnetic field on the quadrupolar ordering are investigated with inclusion of fluctuation of order parameters. For the simplest model with the nearest-neighbor quadrupolar interaction, the transition temperature and the specific…

Strongly Correlated Electrons · Physics 2009-10-30 Noboru Fukushima , Yoshio Kuramoto

The magnetic properties of the triangular magnet CeMgAl$_{11}$O$_{19}$ were investigated by magnetization and specific heat measurements down to $T=0.03\,$K on single crystals grown by the floating zone method. The formation of effective…

We consider quantum critical points (QCP) in which quantum fluctuations associated with charge rather than magnetic order induce unconventional metallic properties. Based on finite-T calculations on a two-dimensional extended Hubbard model…

Strongly Correlated Electrons · Physics 2015-05-18 Laura Cano-Cortes , Jaime Merino , Simone Fratini

A quantum critical point (QCP) is a singularity in the phase diagram arising due to quantum mechanical fluctuations. The exotic properties of some of the most enigmatic physical systems, including unconventional metals and superconductors,…

Strongly Correlated Electrons · Physics 2014-05-13 P. Merchant , B. Normand , K. W. Krämer , M. Boehm , D. F. McMorrow , Ch. Rüegg

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

In certain Mott-insulating dimerized antiferromagnets, triplet excitations of the paramagnetic phase can decay into the two-particle continuum. When such a magnet undergoes a quantum phase transition into a magnetically ordered state, this…

Strongly Correlated Electrons · Physics 2015-03-17 L. Fritz , R. L. Doretto , S. Wessel , S. Wenzel , S. Burdin , M. Vojta

Quantum critical points (QCPs) are widely accepted as a source of a diverse set of collective quantum phases of matter. A central question is how the order parameters of phases near a QCP interact and determine the fundamental character of…

Strongly Correlated Electrons · Physics 2017-11-10 L. Poudel , J. M. Lawrence , L. S. Wu , G. Ehlers , Y. Qiu , A. F. May , F. Ronning , M. D. Lumsden , D. Mandrus , A. D. Christianson

Field-induced magnetic ordering in the structurally disordered quantum magnets Ni(Cl$_{1-x}$Br$_x$)$_2$$\cdot$4SC(NH$_2$)$_2$, $x=8$% and 13%, is studied by means of neutron diffraction. The order parameter critical exponent is found to be…

Strongly Correlated Electrons · Physics 2015-06-17 E. Wulf , D. Huvonen , J. -W. Kim , A. Paduan-Filho , E. Ressouche , S. Gvasaliya , V. Zapf , A. Zheludev

The two-dimensional antiferromagnetic S=1/2 Heisenberg model with random site dilution is studied using quantum Monte Carlo simulations. Ground state properties of the largest connected cluster on L*L lattices, with L up to 64, are…

Strongly Correlated Electrons · Physics 2009-11-07 Anders W. Sandvik

Motivated by experiments on NiGa2S4, we discuss characteristic (finite temperature) properties of spin S = 1 quantum antiferromagnets on the triangular lattice. Several recent theoretical studies have suggested the possibility of…

Strongly Correlated Electrons · Physics 2009-06-30 E. M. Stoudenmire , Simon Trebst , Leon Balents

When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these…

Statistical Mechanics · Physics 2017-08-23 Thomas Vojta , J. A. Hoyos

A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of $N$ spins, with each spin coupled to every other spin. Clusters with $N=2$ and $3$ have been extensively studied as building blocks of square and…

Strongly Correlated Electrons · Physics 2018-02-07 Subhankar Khatua , R. Shankar , R. Ganesh

Randomly diluted quantum boson and spin models in two dimensions combine the physics of classical percolation with the well-known dimensionality dependence of ordering in quantum lattice models. This combination is rather subtle for models…

Disordered Systems and Neural Networks · Physics 2007-05-23 N. Bray-Ali , J. E. Moore , T. Senthil , A. Vishwanath

We study theoretically the destruction of spin nematic order due to quantum fluctuations in quasi-one dimensional spin-1 magnets. If the nematic ordering is disordered by condensing disclinations then quantum Berry phase effects induce…

Strongly Correlated Electrons · Physics 2009-11-13 Tarun Grover , T. Senthil

We study numerically the coarsening kinetics of a two-dimensional ferromagnetic system with aleatory bond dilution. We show that interfaces between domains of opposite magnetisation are fractal on every lengthscale, but with different…

Statistical Mechanics · Physics 2019-05-30 Federico Corberi , Leticia F. Cugliandolo , Ferdinando Insalata , Marco Picco

We have used element specific X-ray resonant scattering to investigate the M edge resonances in a single crystal of \unpo. Earlier neutron diffraction and M\"{o}ssbauer studies had shown the presence of long-range AF order below T$_{N}$ =…

Strongly Correlated Electrons · Physics 2009-11-10 S. B. Wilkins , J. A. Paxiao , R. Caciuffo , P. Javorsky , F. Wastin , J. Rebizant , C. Detlefs , N. Bernhoeft , P. Santini , G. H. Lander
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