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The nature of the intermediate ground-state phase in the spin-1/2 frustrated square lattice model has long been debated. Using cluster density matrix embedding theory, we investigate the phase diagram of this model. The Neel phase is…

Strongly Correlated Electrons · Physics 2025-12-10 Jie Qiao , Shu-Hao Zhang , Jing-Bo Qin , Xiao-Long Zhao , Qiang Cheng

We study the $J_1$-$J_2$-$J_3$ classical Heisenberg model with ferromagnetic $J_1$ on the triangular lattice using the nematic bond theory. For parameters where the momentum space coupling function $J_{\vec{q}}$ shows a discrete set of…

Strongly Correlated Electrons · Physics 2021-12-02 Cecilie Glittum , Olav F. Syljuåsen

Higher order quantum effects on the magnetic phase diagram induced by four-spin ring exchange on plaquettes are investigated for a two-dimensional quantum antiferromagnet with S=1/2. Spatial anisotropy and frustration are allowed for. Using…

Superconductivity · Physics 2015-06-04 Kingshuk Majumdar , Douglas Furton , Goetz S. Uhrig

Heisenberg antiferromagnet with an easy-plane anisotropy is discussed in which a magnetic spiral is induced by Dzyaloshinskii-Moriya interaction and/or frustration of the exchange coupling. The distortion of the spiral by small in-plane…

Strongly Correlated Electrons · Physics 2026-05-05 P. T. Bolokhova , A. V. Syromyatnikov

We present the phase diagram in a magnetic field of a 2D isotropic Heisenberg antiferromagnet on a triangular lattice. We consider spin-$S$ model with nearest-neighbor ($J_1$) and next-nearest-neighbor ($J_2$) interactions. We focus on the…

Strongly Correlated Electrons · Physics 2017-10-25 Mengxing Ye , Andrey V. Chubukov

We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R = J_2/J_1 > 1/4$. It is known that for…

Statistical Mechanics · Physics 2020-07-08 M. Žukovič , M. Borovský , A. Bobák , T. Balcerzak , K. Szałowski

We study the ground state (GS) and the phase transition in a hexagonal-close-packed lattice with both XY and Ising models by using extensive Monte Carlo simulation. We suppose the in-plane interaction $J_1$ and inter-plane interaction…

Statistical Mechanics · Physics 2011-12-30 Danh-Tai Hoang , H. T. Diep

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. We…

Statistical Mechanics · Physics 2009-11-11 S. A. Cannas , M. F. Michelon , D. A. Stariolo , F. A. Tamarit

The interplay between the structural and magnetic phase transitions occurring in the Fe-based pnictide superconductors is studied within a Ginzburg-Landau approach. We show that the magnetoelastic coupling between the corresponding order…

Strongly Correlated Electrons · Physics 2015-05-18 A. Cano , M. Civelli , I. Eremin , I. Paul

The nematic order (nematicity) is considered one of the essential ingredients to understand the mechanism of Fe-based superconductivity. In most Fe-based superconductors (pnictides), nematic order is reasonably close to the…

We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic nearest-neighbor J_1 and antiferromagnetic next-nearest-neighbor J_2 exchange couplings in the presence of magnetic field. We use both numerical approaches…

Strongly Correlated Electrons · Physics 2008-10-07 Toshiya Hikihara , Lars Kecke , Tsutomu Momoi , Akira Furusaki

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

At low temperatures, some lattice spin models with simple ferromagnetic or antiferromagnetic interactions (for example nearest-neighbour interaction being isotropic in spin space on a bipartite three-dimensional lattice) produce…

Statistical Mechanics · Physics 2014-09-16 H. Chamati , S. Romano

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

We use linked-cluster series expansions, both at T=0 and high temperature, to analyse the phase structure of the spin-$\half$ Heisenberg antiferromagnet with competing first and second-neighbor interactions on the 3-dimensional…

Condensed Matter · Physics 2009-11-10 Jaan Oitmaa , Weihong Zheng

We study the Ising model with competing ferromagnetic nearest- and antiferromagnetic next-nearest-neighbor interactions of strengths $J_1 > 0$ and $J_2 < 0$, respectively, on the honeycomb lattice. For $J_2 > - J_1 / 4$ it has a…

Statistical Mechanics · Physics 2026-03-30 Denis Gessert , Martin Weigel , Wolfhard Janke

We investigate the ground-state and finite-temperature properties of the $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice in the presence of an external magnetic field. We focus on the highly frustrated regime around $J_2…

Strongly Correlated Electrons · Physics 2026-02-18 Andreas Honecker , M. E. Zhitomirsky , Alexander Wietek , Johannes Richter

The influence of a rotating magnetic field (in the $ab-$plane) on the density of states has been investigated in the superconducting state of the nematic FeSe superconductor using high sensitivity specific heat measurements. As expected for…

Superconductivity · Physics 2024-06-25 H. Cercellier , K. Olson , M. Schuchard , P. Toulemonde , A. -A. Haghighirad , C. Marcenat , T. Klein

We study the ground state properties of the two-dimensional spin-1/2 J_1-J_2-Heisenberg model on a square lattice, within diagrammatic approximations using an auxiliary fermion formulation with exact projection. In a first approximation we…

Strongly Correlated Electrons · Physics 2010-04-09 Johannes Reuther , Peter Wölfle

The quantum phase transition in iron-based superconductors with 'half-Dirac' node at the electron Fermi surface as a $T=0$ structural phase transition described in terms of nematic order is discussed. An effective low energy theory that…

Strongly Correlated Electrons · Physics 2015-10-21 Imam Makhfudz