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We study experimentally and numerically the dynamics of the spin ice material Dy$_2$Ti$_2$O$_7$ in the low temperature ($T$) and moderate magnetic field ($\mathbf{B}$) regime ($T\in[0.1,1.7]K$, $B\in[0,0.3]T$). Our objective is to…

Gauge theories are powerful tools in theoretical physics, allowing complex phenomena to be reduced to simple principles, and are used in both high-energy and condensed matter physics. In the latter context, gauge theories are becoming…

A systematic modification of the entropy trajectory $S_m(T)$ is observed at very low temperature in magnetically frustrated systems as a consequence of the constraint $S_m\geq 0$ imposed by the third law of thermodynamics. The lack of…

Strongly Correlated Electrons · Physics 2017-03-20 Julian G. Sereni

We introduce an $xy$ generalization of the frustrated Ising model on a triangular lattice. The presence of continuous degrees of freedom stabilizes a {\em finite-temperature} spin state with {\em power-law} discrete spin correlations and an…

Condensed Matter · Physics 2009-10-22 P. Chandra , P. Coleman , L. B. Ioffe

A quantum spin liquid is a novel state of matter characterized by quantum entanglement and the absence of any broken symmetry. In condensed matter, the frustrated rare-earth pyrochlore magnets Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$,…

Strongly Correlated Electrons · Physics 2017-04-05 E. Kermarrec , J. Gaudet , K. Fritsch , R. Khasanov , Z. Guguchia , C. Ritter , K. A. Ross , H. A. Dabkowska , B. D. Gaulin

The emergent gauge field characteristic of the Coulomb phase of spin ice betrays its existence via pinch points in the spin structure factor ${\cal{S}}$ in reciprocal space which takes the form of a transverse projector ${\cal{P}}$ at low…

Strongly Correlated Electrons · Physics 2015-06-12 Arnab Sen , R. Moessner , S. L. Sondhi

In the ground state of Ho2Ti2O7 spin ice, the disorder of the magnetic moments follows the same rules as the proton disorder in water ice. Excitations take the form of magnetic monopoles that interact via a magnetic Coulomb interaction.…

Strongly Correlated Electrons · Physics 2013-05-24 L. J. Chang , M. R. Lees , G. Balakrishnan , Y. -J. Kao , A. D. Hillier

Systematically magnetic and magnetothermal measurements at temperatures down to 2 K and magnetic fields up to 13.5 Tesla for Gd(OH)3 Single Crystal Nanowires - Quasi-1D Large Spin (S = -7/2) Chain Antiferromagnet have been conducted. We…

Materials Science · Physics 2012-07-16 R. Zeng , C. F. Zhang , J. C. Debnath , P. Shamba , J. L. Wang , Z. X. Chen , Z. P. Guo , S. X. Dou

Pyrochlore magnets of the form $R_2B_2$O$_7$, in which rare-earth ions on the $R$-site form a three-dimensional network of corner-sharing tetrahedra, provide a canonical setting for geometrical frustration. Ho-based pyrochlores host a…

Strongly Correlated Electrons · Physics 2026-04-17 A. A. Aczel , B. R. Ortiz , Y. Luo , G. Pokharel , P. M. Sarte , C. dela Cruz , J. Liu , G. Sala , S. D. Wilson , B. A. Frandsen , J. A. M. Paddison

Spin ice materials, such as Dy2Ti2O7 and Ho2Ti2O7, have been the subject of much interest for over the past fifteen years. Their low temperature strongly correlated state can be mapped onto the proton disordered state of common water ice…

Statistical Mechanics · Physics 2015-03-24 T. Lin , X. Ke , M. Thesberg , P. Schiffer , R. G. Melko , M. J. P. Gingras

The magnetocaloric effect of polycrystalline samples of pure and Y-doped dipolar spin ice Dy2Ti2O7 was investigated at temperatures from nominally 0.3 K to 6 K and in magnetic fields of up to 2 T. As well as being of intrinsic interest, it…

Soft Condensed Matter · Physics 2015-06-25 M. Orendac , J. Hanko , E. Cizmar , A. Orendacova , M. Shirai , S. T. Bramwell

It is demonstrated that novel spin frustration can be induced in ferromagnets with nonuniform Land\'{e} $g$-factors. The frustrated state is characterized by a mutual interplay of typical ferromagnetic (FM) and antiferromagnetic (AF)…

Strongly Correlated Electrons · Physics 2024-02-28 Wei-Guo Yin , Christopher R. Roth , Alexei M. Tsvelik

Frustrated magnets provide a platform for exploring exotic phases beyond conventional ordering, with potential relevance to functional materials and information technologies. In this work, we use Monte Carlo simulations to map the…

Strongly Correlated Electrons · Physics 2025-12-16 Prakash Timsina , Andres Chappa , Deema Alyones , Igor Vasiliev , Ludi Miao

A few paradigmatic one-dimensional lattice-statistical spin models have recently attracted a vigorous scientific interest owing to their peculiar thermodynamic behavior, which is highly reminiscent of a temperature-driven phase transition.…

Statistical Mechanics · Physics 2020-08-17 Jozef Strecka

Frustrated Ising magnets host exotic excitations, such as magnetic monopoles in spin ice. The ground state (GS) in this case is characterized by an extensive degeneracy and associated residual entropy going back to the pioneering work by G.…

Strongly Correlated Electrons · Physics 2020-01-14 Yuesheng Li , Sebastian Bachus , Yoshifumi Tokiwa , Alexander A. Tsirlin , Philipp Gegenwart

A \emph{monopole liquid} is a magnetic charge-disordered spin system defined over an Ising pyrochlore lattice, with one single topological charge or \emph{monopole} in each tetrahedron. We define a simple model Hamiltonian for this system…

Statistical Mechanics · Physics 2018-05-24 D. Slobinsky , G. Baglietto , R. A. Borzi

We report the a.c. susceptibility study of Dy_xTb_{2-x}Ti_2O_7 with x in [0, 2]. In addition to the single-ion effect at Ts (single-ion effect peak temperature) corresponding to the Dy3+ spins as that in spin ice Dy_2Ti_2O_7 and a possible…

Materials Science · Physics 2015-03-13 Hui Xing , Mi He , Chunmu Feng , Hanjie Guo , Hao Zeng , Zhu-An Xu

Although initially introduced to mimic the spin-ice pyrochlores, no artificial spin ice has yet exhibited the expected degenerate ice-phase with critical correlations similar to the celebrated Coulomb phase in the pyrochlore lattice. Here…

Strongly Correlated Electrons · Physics 2013-10-23 Gia-Wei Chern , Muir J. Morrison , Cristiano Nisoli

By considering the constrained motion of classical spins in a geometrically frustrated magnet, we find a dynamical freezing temperature below which the system gets trapped in metastable states with a "frozen" moment and dynamical…

Strongly Correlated Electrons · Physics 2015-06-04 O. Cepas , B. Canals

Ba$_3$Mn$_2$O$_8$ is a geometrically frustrated spin dimer compound. We investigate the effect of site disorder on the zero field phase diagram of this material by considering the solid solution Ba$_{3}$(Mn$_{1-x}$V$_{x}$)$_{2}$O$_{8}$,…

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