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We report on a systematic study of two dimensional, periodic, frustrated Ising models with a quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome lattice antiferromagnets, fully…

统计力学 · 物理学 2009-10-31 R. Moessner , S. L. Sondhi

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

强关联电子 · 物理学 2015-06-05 S. E. Korshunov

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

统计力学 · 物理学 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

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…

统计力学 · 物理学 2007-05-23 Ying Jiang , Thorsten Emig

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

强关联电子 · 物理学 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

Transverse field Ising model is a common model in quantum magnetism and is often illustrated as an example for quantum phase transition. Its physical origin in quantum magnets, however, is actually not quite well-understood. The quantum…

强关联电子 · 物理学 2019-12-11 Gang Chen

Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Motivated by the recent interest in…

强关联电子 · 物理学 2025-11-05 Fabian Köhler , Johanna Erdmenger , Roderich Moessner , Matthias Vojta

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

统计力学 · 物理学 2007-09-25 Shu Tanaka , Seiji Miyashita

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

统计力学 · 物理学 2015-05-14 Anindita Ganguli , Subinay Dasgupta

We study ordering mechanisms which are induced by the quantum fluctuation in fully frustrated Ising spin systems. Since there are many degenerated states in frustrated systems, "order by thermal disorder" often takes place due to a kind of…

统计力学 · 物理学 2011-04-19 Shu Tanaka , Masaki Hirano , Seiji Miyashita

The paradigmatic example of a continuous quantum phase transition is the transverse field Ising ferromagnet. In contrast to classical critical systems, whose properties depend only on symmetry and the dimension of space, the nature of a…

Some strongly frustrated magnets such as the "spin-ice" compounds fail to produce any magnetic order at finite temperatures even in the presence of magnetic field. Still they have very unusual low-temperature thermodynamic properties…

材料科学 · 物理学 2010-05-18 P. N. Timonin

The phase transitions in the transverse field Ising model in a competing spatially modulated (periodic and oscillatory) longitudinal field are studied numerically. There is a multiphase point in absence of the transverse field where the…

统计力学 · 物理学 2016-08-31 Parongama Sen

The two-dimensional Ising model on a distorted Kagom\'{e} lattice is studied by means of exact solutions and the tensor renormalisation group (TRG) method. The zero-field phase diagrams are obtained, where three phases such as…

统计力学 · 物理学 2010-10-27 Wei Li , Shou-Shu Gong , Yang Zhao , Shi-Ju Ran , Song Gao , Gang Su

The phase diagram of a frustrated S=1/2 antiferromagnetic spin ladder with additional next-nearest neighbor exchanges, both diagonal and inchain, is studied by a weak-coupling effective field theory approach combined with exact…

强关联电子 · 物理学 2007-05-23 Temo Vekua , Andreas Honecker

We investigate the dynamics of the quantum Ising model on two-dimensional square lattices up to $16 \times 16$ spins. In the ordered phase, the model is predicted to exhibit dynamically constrained dynamics, leading to confinement of…

量子物理 · 物理学 2025-04-29 Luka Pavešić , Daniel Jaschke , Simone Montangero

General conditions in which disordered, spin liquid, and valence-bond ordered phases occur in quantum Ising antiferromagnets are studied using the prototype Kagome lattice spin models. A range of quantum dynamical processes in the Ising…

强关联电子 · 物理学 2010-07-16 Predrag Nikolic

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic…

统计力学 · 物理学 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

We investigate the zero-temperature phase diagram of the fully frustrated transverse field Ising model on the square lattice both in the classical limit and in the presence of quantum fluctuations. At the classical level (the limit of…

强关联电子 · 物理学 2014-12-03 Tommaso Coletta , Sergey E. Korshunov , Frédéric Mila

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

强关联电子 · 物理学 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii
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