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We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use the method of perturbative continuous unitary…

Strongly Correlated Electrons · Physics 2024-02-19 J. A. Koziol , M. Mühlhauser , K. P. Schmidt

The triangular-lattice quantum Ising antiferromagnet is a promising platform for realizing Anderson's quantum spin liquid, though finding suitable materials to realize it remains a challenge. Here, we present a comprehensive study of…

Motivated by recent experiments with a Penning ion trap quantum simulator, we perform numerically exact Stochastic Series Expansion quantum Monte Carlo simulations of long-range transverse-field Ising models on a triangular lattice for…

Statistical Mechanics · Physics 2016-03-15 Stephan Humeniuk

Continuous symmetries are believed to emerge at many quantum critical points in frustrated magnets. In this work, we study two candidates of this paradigm: the transverse-field frustrated Ising model (TFFIM) on the triangle and the…

Strongly Correlated Electrons · Physics 2017-10-04 Yan-Cheng Wang , Yang Qi , Shu Chen , Zi Yang Meng

The application of a magnetic field transverse to the easy axis, Ising direction in the quasi-two-dimensional Kagome staircase magnet, Co3V2O8, induces three quantum phase transitions at low temperatures, ultimately producing a novel high…

Strongly Correlated Electrons · Physics 2015-11-10 K. Fritsch , G. Ehlers , K. C. Rule , K. Habicht , M. Ramazanoglu , H. A. Dabkowska , B. D. Gaulin

We study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional…

Statistical Mechanics · Physics 2007-05-23 Daisuke Tahara , Yukitoshi Motome , Masatoshi Imada

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

Statistical Mechanics · Physics 2024-07-08 Takumi Oshima , Tomotoshi Nishino

Magnetic susceptibility, specific heat, and muon spin relaxation ($\mu$SR) measurements have been performed on a newly synthesized three-dimensional sandglass-type lattice Tm$_3$SbO$_7$, where two inequivalent sets of non-Kramers Tm$^{3+}$…

Strongly Correlated Electrons · Physics 2022-05-25 Yan-Xing Yang , Yao Wang , Zhao-Feng Ding , Adrian D. Hillier , Lei Shu

Residual entropy is a key feature associated with emergence in many-body systems. From a variety of frustrated magnets to the onset of spin-charge separation in Hubbard models and fermion-$Z_2$-flux variables in Kitaev models, the freezing…

Strongly Correlated Electrons · Physics 2019-08-21 Owen Bradley , Chunhan Feng , Richard T. Scalettar , Rajiv R. P. Singh

The ground state, zero-temperature magnetization process, critical behaviour and isothermal entropy change of the mixed-spin Ising model on a decorated triangular lattice in a magnetic field are exactly studied after performing the…

Statistical Mechanics · Physics 2018-04-30 Lucia Galisova , Jozef Strecka

A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from a coupling of 2D layers and in the quantum model…

Statistical Mechanics · Physics 2007-05-23 Ying Jiang , Thorsten Emig

We introduce a quantum antiferromagnet model, having exactly soluble thermodynamic properties. It is an infinite range antiferromagnetic Ising model put in a transverse field. The free energy gives the ground state energy in the zero…

Statistical Mechanics · Physics 2007-05-23 Bikas K. Chakrabarti , Jun-ichi Inoue

The presence of competing interactions due to geometry leads to frustration in quantum spin models. As a consequence, the ground state of such systems often displays a large degeneracy that can be lifted due to thermal or quantum effects.…

Statistical Mechanics · Physics 2024-08-23 Pratyankara Narasimhan , Stephan Humeniuk , Ananda Roy , Victor Drouin-Touchette

The physical origin of the backbendings in the equations of state of finite but not necessarily small systems is studied in the Ising model with fixed magnetization (IMFM) by means of the topological properties of the observable…

Statistical Mechanics · Physics 2009-11-10 F. Gulminelli , J. M. Carmona , Ph. Chomaz , J. Richert , S. Jimenez , V. Regnard

We investigated the rare-earth triangular-lattice antiferromagnet NdMgAl$_{11}$O$_{19}$ using single-crystal magnetization (1.8~K $\leq T \leq$ 300~K, $\mu_0 H \leq 7$~T) and specific-heat measurements down to 45~mK. The dc susceptibility…

An Ising antiferromagnet on a stacked triangular lattice in zero field is studied by Monte Carlo simulations, focusing on the character of the low-temperature phase and the effect of the relative strength of the exchange interaction in the…

Statistical Mechanics · Physics 2016-03-04 M. Žukovič , L. Mižišin , A. Bobák

The rare-earth material $\mathrm{LiHoF_4}$ is believed to be an experimental realization of the celebrated (dipolar) Ising model, and upon the inclusion of a transverse field $B_x$, an archetypal quantum Ising model. Moreover, by…

Strongly Correlated Electrons · Physics 2022-05-30 Tomer Dollberg , Juan Carlos Andresen , Moshe Schechter

The quantum magnetism in a three-singlet model (TSM) with singlet crystalline electric field (CEF) states interacting on a lattice is investigated, motivated by its appearance in compounds with 4f^2 and 5f^2 electronic structure. Contrary…

Strongly Correlated Electrons · Physics 2021-05-04 Peter Thalmeier

The recently fabricated two-dimensional magnetic materials Cu9X2(cpa)6.xH2O (cpa=2-carboxypentonic acid; X=F,Cl,Br) have copper sites which form a triangular kagome lattice (TKL), formed by introducing small triangles (``a-trimers'') inside…

Statistical Mechanics · Physics 2008-07-24 Dao-Xin Yao , Yen Lee Loh , Erica W. Carlson , Michael Ma

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two non-equivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in…

Statistical Mechanics · Physics 2016-03-14 Rubem Mondaini , Keith R. Fratus , Mark Srednicki , Marcos Rigol