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Superconductivity in the iron pnictides and chalcogenides arises at the border of antiferromagnetism, which raises the question of the role of quantum criticality. In this topical review, we describe the theoretical work that led to the…

Superconductivity · Physics 2015-03-18 Elihu Abrahams , Qimiao Si

The extent to which quantum criticality drives the physics of iron pnictides is a central question in the field. Earlier theoretical considerations were based on an effective field theory, and the proposed realization in P-doped iron…

Strongly Correlated Electrons · Physics 2019-04-01 Wen-Jun Hu , Haoyu Hu , Rong Yu , Hsin-Hua Lai , Luca F. Tocchio , Federico Becca , Qimiao Si

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

We show that the interference between scattering by impurities and by critical spin fluctuations gives rise to anisotropic transport in the Ising-nematic state of the iron pnictides. The effect is closely related to the non-Fermi liquid…

Strongly Correlated Electrons · Physics 2015-05-28 Rafael M. Fernandes , Elihu Abrahams , Jörg Schmalian

Motivated by the recent inelastic neutron scattering (INS) measurements in the iron pnictides which show a strong anisotropy of spin excitations in directions perpendicular and parallel to the ordering wave-vector even above the magnetic…

Strongly Correlated Electrons · Physics 2015-10-19 Patricia Bilbao Ergueta , Andriy H. Nevidomskyy

We study the $\pm J$ three-dimensional Ising model with a spatially uniaxially anisotropic bond randomness on the simple cubic lattice. The $\pm J$ random exchange is applied in the $xy$ planes, whereas in the z direction only a…

Statistical Mechanics · Physics 2015-06-11 T. Papakonstantinou , A. Malakis

Two major themes in the physics of condensed matter are quantum critical phenomena and unconventional superconductivity. These usually occur in the context of competing interactions in systems of strongly-correlated electrons. All this…

Superconductivity · Physics 2009-05-24 Jianhui Dai , Qimiao Si , Jian-Xin Zhu , Elihu Abrahams

The common phase diagrams of superconducting iron pnictides show interesting material specificities in the structural and magnetic phase transitions. In some cases the two transitions are separate and second order, while in others they…

Strongly Correlated Electrons · Physics 2012-02-14 Ryan Applegate , Rajiv R. P. Singh , Cheng-Chien Chen , Thomas P. Devereaux

Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

Statistical Mechanics · Physics 2009-08-11 Ying Li , M. X. Huo , Z. Song

Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is probably the most-studied model undergoing such a transition, from ferromagnetic to…

Strongly Correlated Electrons · Physics 2011-03-02 Y. F. Dai , H. Zhang , S. Y. Zhou , B. Y. Pan , X. Qiu , X. C. Hong , T. Y. Guan , J. K. Dong , Y. Chen , S. Y. Li

Employing inelastic X-ray scattering and neutron scattering techniques, we observed nematic and magnetic phase transitions with distinct characters in K$_{5}$Fe$_{4}$Ag$_{6}$Te$_{10}$. Upon cooling, the nematic order undergoes a strongly…

Strongly Correlated Electrons · Physics 2024-07-23 N. Giles-Donovan , Y. Chen , H. Fukui , T. Manjo , D. Ishikawa , A. Q. R. Baron , S. Chi , H. Zhong , S. Cao , Y. Tang , Y. Wang , X. Lu , Y. Song , R. J. Birgeneau

We study the two dimensional quantum Heisenberg antiferromagnet on the square lattice with easy-axis exchange anisotropy. By the semiclassical method called pure-quantum self-consistent harmonic approximation we analyse several…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Tommaso Roscilde , Paola Verrucchi , Ruggero Vaia

The two-dimensional Ising model defined on square lattices with diamond-type bond-decorations is employed to study the nature of the ferromagnetic phase transitions of inhomogeneous systems. The model is studied analytically under the…

Condensed Matter · Physics 2009-11-10 Ming-Chang Huang , Yu-Pin Luo , Tsong-Ming Liaw

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

Statistical Mechanics · Physics 2023-04-18 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

The twin issues of the nature of the normal state and competing order(s) in the iron arsenides are central to understanding their unconventional, high-Tc superconductivity. We use a combination of transport anisotropy measurements on…

Strongly Correlated Electrons · Physics 2015-10-16 S. D. Das , M. S. Laad , L. Craco , J. Gillett , V. Tripathi , S. E. Sebastian

We investigate the dynamic phase transition in two-dimensional Ising models whose equilibrium characteristics are influenced by either anisotropic interactions or quenched defects. The presence of anisotropy reduces the dynamical critical…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Thibaud Coupé , Timothy J. Sluckin , Ezio Puppin , Paolo Biscari

We consider the thermal phase transition from a paramagnetic to stripe-antiferromagnetic phase in the frustrated two-dimensional square-lattice Ising model with competing interactions J1<0 (nearest neighbor, ferromagnetic) and J2 >0 (second…

Statistical Mechanics · Physics 2013-06-19 Songbo Jin , Arnab Sen , Wenan Guo , Anders W. Sandvik

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…

Statistical Mechanics · Physics 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

The dynamics of a random (quenched) field Ising model (in two dimension) at zero temperature in the presence of an additional sinusoidally oscillating homogeneous (in space) magnetic field has been studied by Monte Carlo simulation using…

Condensed Matter · Physics 2015-06-25 Muktish Acharyya

Starting from a microscopic itinerant model, we derive and analyze the effective low-energy model for collective magnetic excitations in the iron pnictides. We show that the stripe magnetic order is generally preempted by an Ising-nematic…

Superconductivity · Physics 2012-01-30 R. M. Fernandes , A. V. Chubukov , J. Knolle , I. Eremin , J. Schmalian
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