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Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

Here we consider the Ising-Heisenberg model in the expanded Kagom\'e lattice, also known as triangle-dodecagon (3-12) or star lattice. This model can still be understood as a decorated honeycomb lattice. Assuming that the Heisenberg spins…

Statistical Mechanics · Physics 2018-11-01 Onofre Rojas

With the recent developments in machine learning, Carrasquilla and Melko have proposed a paradigm that is complementary to the conventional approach for the study of spin models. As an alternative to investigating the thermal average of…

Statistical Mechanics · Physics 2020-02-12 Kenta Shiina , Hiroyuki Mori , Yutaka Okabe , Hwee Kuan Lee

Ground-state and finite-temperature properties of a special class of exactly solvable Ising-Heisenberg planar models are examined using the generalized decoration-iteration and star-triangle mapping transformations. The investigated spin…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jozef Strecka , Michal Jascur

The row model for frustrated XY spins on a triangular lattice in 2D is used to study incommensurate{IC}) spiral and commensurate{C} antiferromagnetic (AF) phases, in the regime where a C-IC transition occurs. Using fluctuating boundary…

Statistical Mechanics · Physics 2009-10-31 M. Gabay , M. Benakli , W. M. Saslow

Ag2MnO2 is studied as a possible candidate compound for an antiferromagnetic XY spin model on a triangular lattice. In spite of the large Curie-Weiss temperature of -430 K found in magnetic susceptibi-lity, Mn3+ spins with S = 2 do not…

Strongly Correlated Electrons · Physics 2009-11-13 Hiroyuki Yoshida , Sascha Ahlert , Martin Jansen , Yoshihiko Okamoto , Jun-Ichi Yamaura , Zenji Hiroi

The zero-temperature phase diagrams of a two-dimensional frustrated quantum antiferromagnetic system, namely the Union Jack model, are studied using the coupled cluster method (CCM) for the two cases when the lattice spins have spin quantum…

Strongly Correlated Electrons · Physics 2011-06-07 R. F. Bishop , P. H. Y. Li

We employ Monte Carlo simulations in order to investigate critical behavior of a geometrically frustrated spin-1 Ising antiferromagnet on a triangular lattice in the presence of a single-ion anisotropy. It has been previously found that…

Statistical Mechanics · Physics 2013-06-25 Milan Žukovič , Andrej Bobák

Geometrical frustration in correlated systems can give rise to a plethora of novel ordered states and intriguing phases. Here, we analyze theoretically vertex-sharing frustrated Kagome lattice of Josephson junctions and identify various…

Quantum Physics · Physics 2023-11-13 Oliver Neyenhuys , Mikhail V. Fistul , Ilya M. Eremin

An experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed. Dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses. In this way, the effective…

Quantum Physics · Physics 2007-05-23 Georgios Roumpos , Cyrus P. Master , Yoshihisa Yamamoto

Interacting bosons with two "spin'' states in a lattice show novel superfluid-insulator phase transitions in the presence of spin-orbit coupling. Depending on the parameter regime, bosons in the superfluid phase can condense to either a…

Strongly Correlated Electrons · Physics 2015-12-09 Sangita De Sarkar , Rajdeep Sensarma , K. Sengupta

Motivated by the experimental realization of quantum spin models of polar molecule KRb in optical lattices, we analyze the spin 1/2 dipolar Heisenberg model with competing anisotropic, long-range exchange interactions. We show that, by…

Quantum Gases · Physics 2017-08-03 Haiyuan Zou , Erhai Zhao , W. Vincent Liu

The interplay between different quantum phases plays an important role in strongly correlated systems, such as high-$T_c$ cuprates, quantum spin systems, and ultracold atoms. In particular, the application of effective field theory model…

Strongly Correlated Electrons · Physics 2023-12-21 Ken K. W. Ma , Oğuz Türker , Alexander Seidel , Kun Yang

The spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is exactly solved by establishing a precise mapping correspondence to the simple spin-1/2 Ising model on Kagome lattice. It is shown that the…

Statistical Mechanics · Physics 2009-02-18 Jozef Strecka , Lucia Canova

We investigate the finite-temperature phase diagram of the classical $J_1$-$J_2$ XY model on a square lattice using a tensor network approach designed for frustrated spin systems. This model, characterized by competing nearest-neighbor and…

Strongly Correlated Electrons · Physics 2024-12-30 Feng-Feng Song , Hanggai Nuomin , Naoki Kawashima

The spin density wave instabilities in the quasi-one-dimensional metal (TMTSF)_2ClO_4 are studied in the framework a matrix random phase approximation for intra-band and inter-band order parameters. Depending on the anion ordering potential…

Strongly Correlated Electrons · Physics 2009-11-07 D. Zanchi , A. Bjelis

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

In 1977, G\'erard Toulouse has proposed a new concept termed as "frustration" in spin systems. Using this definition, several frustrated models have been created and studied, among them we can mention the Villain's model, the fully…

Statistical Mechanics · Physics 2025-01-22 Hung T. Diep

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

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