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The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

Statistical Mechanics · Physics 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

By mapping the hamiltonian of the spin one ferromagnet onto that of the classical spherical model we investigate the possible phase transitions and the phase diagram of the spin one ferromagnet. Similarly to what happens in the spherical…

Statistical Mechanics · Physics 2007-05-23 Sergey E. Savelev , G. Ramirez-Santiago

We investigate the spin-$1$ Blume-Capel model on an infinite strip of the triangular lattice using the transfer-matrix method combined with a sparse-matrix factorization technique. Through finite-size scaling analysis of numerically exact…

Statistical Mechanics · Physics 2025-09-11 Dimitrios Mataragkas , Alexandros Vasilopoulos , Nikolaos G. Fytas , Dong-Hee Kim

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

Strongly Correlated Electrons · Physics 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su

Lattice regularized Schwinger model with a so-called $\theta$ term is studied by using the Grassmann tensor renormalization group. We perform the Lee-Yang and Fisher zero analyses in order to investigate the phase structure at $\theta=\pi$.…

High Energy Physics - Lattice · Physics 2014-10-22 Yuya Shimizu , Yoshinobu Kuramashi

Spin-$S$ Heisenberg quantum antiferromagnets on the Kagome lattice offer, when placed in a magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic analogs of) superfluid, charge, bond or nematic orders, or a…

Strongly Correlated Electrons · Physics 2016-02-24 Thibaut Picot , Marc Ziegler , Roman Orus , Didier Poilblanc

We discuss a {\em family} of planar (two-dimensional) systems with the following phase strucure: a Fermi liquid, which goes by a second order transition (with non classical exponent even in mean-field) to an intermediate, inhomogeneous…

Condensed Matter · Physics 2016-08-31 Ganpathy Murthy , R. Shankar

We explore the Potts model on the generalized decorated square lattice, with both nearest (J1) and next-neighbor (J2) interactions. Using the tensor renormalization-group method augmented by higher-order singular value decompositions, we…

Statistical Mechanics · Physics 2024-06-26 M. P. Qin , J. Chen , Q. N. Chen , Z. Y. Xie , X. Kong , H. H. Zhao , B. Normand , T. Xiang

We calculate the magnetic phase diagram of the spin-$1/2$ nearest neighbor XXZ pyrochlore model using the pseudo-Majorana functional renormalization group in the temperature flow formalism. Our phase diagram as a function of temperature and…

Strongly Correlated Electrons · Physics 2024-12-20 Yannik Schaden , Matías G. Gonzalez , Johannes Reuther

We analyse the momentum dependence of static non-uniform susceptibilities of layered local-moment systems below Curie (Neel) temperature within the 1/S-expansion, the renormalization-group approach, and first order of 1/N-expansion. We…

Strongly Correlated Electrons · Physics 2012-12-27 A. Katanin

We use the Renormalization Group method to study the magnetic field influence on the Bose-Einstein condensation of interacting dilute magnons in three dimensional spin systems. We first considered a model with SU(2) symmetry (universality…

Materials Science · Physics 2009-11-11 M. Crisan , I. Tifrea , D Bodea , I. Grosu

The Shastry-Sutherland model as a canonical example of frustrated magnetism has been extensively studied. The conventional wisdom has been that the transition from the plaquette valence bond order to the Neel order is direct and potentially…

Strongly Correlated Electrons · Physics 2022-02-02 Ahmet Keles , Erhai Zhao

Starting from the canonical ensemble over the space of pure quantum states, we obtain an integral representation for the partition function. This is used to calculate the magnetisation of a system of N spin-1/2 particles. The results…

Quantum Physics · Physics 2013-09-13 Dorje C. Brody , Lane P. Hughston , Matthew F. Parry

A lattice of interacting Majorana modes can occur in a superconducting film on a topological insulator in a magnetic field. The phase diagram as a function of interaction strength for the square lattice was analyzed recently using a…

Strongly Correlated Electrons · Physics 2018-12-19 Kyle Wamer , Ian Affleck

We have considered a new type of 'XY' model where spins are placed on concentric ring with constant spin density in every ring. The spin executes continuous rotation under a modified Shore-Zwanzig Hamiltonian (J. Chem. Phys. 63, 5445…

Statistical Mechanics · Physics 2012-11-29 Rajib Biswas , Biman Bagchi

The phase diagram of a novel two-dimensional frustrated Ising model with both anti-ferromagnetic and ferromagnetic couplings is studied using Tensor-Network Renormalization-Group techniques. This model can be seen as two anti-ferromagnetic…

Statistical Mechanics · Physics 2025-02-19 Christophe Chatelain

We investigate the density of states (DOS) in an antiferromagnetic spin-system on a square lattice described by the Blume-Capel (BC) model. We use a new and very efficient simulation method, proposed by Wang and Landau, in which we estimate…

Other Condensed Matter · Physics 2009-11-13 G. Pawlowski

The locality of field theories strongly constrains the possible behaviors of symmetry-twisted partition functions, and thus they serve as order parameters to detect low-energy realizations of global symmetries, such as spontaneous symmetry…

High Energy Physics - Lattice · Physics 2026-04-06 Shinichiro Akiyama , Raghav G. Jha , Jun Maeda , Yuya Tanizaki , Judah Unmuth-Yockey

The phase transition occurring in a square 2-D spin lattice governed by an anisotropic Heisenberg Hamiltonian has been studied according to two recently proposed methods. The first one, the Dressed Cluster Method, provides excellent…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Nathalie Guihery , Jean-Paul Malrieu , Peter Wind
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