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Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-$1$ model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. We…

Strongly Correlated Electrons · Physics 2019-11-06 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Haoyu Hu , Qimiao Si , Andriy H. Nevidomskyy

Possible phases and the B-T phase diagram of interlayer Josephson vortices induced by a magnetic field parallel to the superconducting layers are investigated by Monte Carlo simulations based on the anisotropic, frustrated XY model. While…

Superconductivity · Physics 2009-11-10 Xiao Hu , Masashi Tachiki

We have used Monte Carlo simulations, combined with finite-size scaling and two different real-space renormalization group approaches, to study a fully frustrated three-dimensional XY model on a simple cubic lattice. This model corresponds…

Superconductivity · Physics 2009-11-11 Kwangmoo Kim , David Stroud

We study a generalization of the well-known classical two-dimensional square lattice compass model of XY spins (sometimes referred to as the 90$^\circ$ compass model), which interpolates between the XY model and the compass model. Our model…

Statistical Mechanics · Physics 2024-07-09 Fan Zhang , Wenan Guo , Ribhu K. Kaul

We test the performance of a recently proposed fundamental measure density functional of aligned hard cylinders by calculating the phase diagram of a monodisperse fluid of these particles. We consider all possible liquid crystalline…

Soft Condensed Matter · Physics 2009-11-13 Jose A. Capitan , Yuri Martinez-Raton , Jose A. Cuesta

We propose a universal non-linear sigma model field theory for one dimensional frustrated ferromagnets, which applies in the vicinity of a "quantum Lifshitz point", at which the ferromagnetic state develops a spin wave instability. We…

Strongly Correlated Electrons · Physics 2016-04-29 Leon Balents , Oleg A. Starykh

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

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…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

The magnetization process of a frustrated spin-1/2 spin-dimer model on a square lattice is investigated by means of a sign-problem-free quantum Monte Carlo algorithm developed recently. Rich field-induced quantum phases are discovered. We…

Strongly Correlated Electrons · Physics 2017-03-02 Kwai-Kong Ng , Min-Fong Yang

Using density-functional theory, we have analyzed the phase behavior of binary mixtures of hard rods of different lengths and diameters. Previous studies have shown a strong tendency of smectic phases of these mixtures to segregate and, in…

Soft Condensed Matter · Physics 2009-11-11 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

We use Monte Carlo simulations of the 3D uniformly frustrated XY model, with uncorrelated quenched randomness in the in-plane couplings, to model the effect of random point pins on the vortex line phases of a type II superconductor. We map…

Superconductivity · Physics 2009-10-31 P. Olsson , S. Teitel

By employing Molecular Dynamics computer simulations, the phase behavior of systems of rodlike particles with varying degree of internal flexibility has been traced from the perfectly rigid rod limit till very flexible particles, and from…

Soft Condensed Matter · Physics 2009-11-13 Giorgio Cinacchi , Luca De Gaetani

We report on classical Monte Carlo study of phase transitions and critical behavior of a 2D spin-pseudospin model describing a dilute magnet with competing charge and spin interactions. The static critical exponents of the specific heat and…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

The XY-plaquette model is the most straightforward lattice realization of a broad class of fractonic field theories that host quasiparticles with restricted mobility. The plaquette interaction appears naturally as a ring-exchange term in…

High Energy Physics - Lattice · Physics 2025-06-23 A. M. Begun , M. N. Chernodub , V. A. Goy , A. V. Molochkov

Recently, the frustrated XY model for spins-1/2 on the honeycomb lattice has attracted a lot of attention in relation with the possibility to realize a chiral spin liquid state. This model is relevant to the physics of some quantum magnets.…

Strongly Correlated Electrons · Physics 2018-04-18 Kirill Plekhanov , Ivana Vasić , Alexandru Petrescu , Rajbir Nirwan , Guillaume Roux , Walter Hofstetter , Karyn Le Hur

We present a new variational approach to the study of phase transitions in frustrated 2D XY models. In the spirit of Villain's approach for the ferromagnetic case we divide thermal excitations into a low temperature long wavelength part…

Condensed Matter · Physics 2009-10-28 M. Benakli , H. Zheng , M. Gabay

We explore the smectic liquid crystal order in a cell with a "dirty" substrate imposing random pinnings. Within harmonic elasticity we find a subtle three-dimensional surface disorder-driven transition into a pinned smectic-glass,…

Soft Condensed Matter · Physics 2012-06-14 Quan Zhang , Leo Radzihovsky

Four-dimensional state space geometry is worked out for the exactly solved one-dimensional spin-3/2 lattice with a Blume-Emery-Griffiths (BEG) Hamiltonian as well as a more general one with a term containing a non-zero field coupling to the…

Statistical Mechanics · Physics 2023-06-13 Riekshika Sanwari , Soumen Khatua , Anurag Sahay

We study the spin-half Heisenberg models on an anisotropic two-dimensional lattice which interpolates between the square-lattice at one end, a set of decoupled spin-chains on the other end, and the triangular-lattice Heisenberg model in…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , Ross H. McKenzie , Rajiv R. P Singh

Several aspects of the general theory for the critical states of a vortex lattice and the magnetic flux dynamics in type-II superconductors are examined by a direct variational optimisation method and widespread physical principles. Our…

Superconductivity · Physics 2016-08-14 H. S. Ruiz , A. Badía-Majós