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...dic lattice. Unlike the prototypical [[Quantum Heisenberg model|Heisenberg spin chain]], which only includes interactions between neighboring sites of the |title=Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-1/2 antiferromagnetic Heisenberg chain with 1/r^2 exchange ...

...onal [[quantum mechanics|quantum]] [[Heisenberg model (quantum)|Heisenberg spin model]] in which the nearest-neighbour antiferromagnetic exchange interacti ...orm, making it a useful starting point for understanding more complex spin models and phases. ...

...n its use as an indicator of [[quantum phase transitions]]—specifically in models with metal-insulator transitions such as [[Mott insulators]]. It is also re ==Spin stiffness of the Heisenberg model== ...

...ns such as the [[Ising model|Ising]] and [[XY model]]s by transforming the spin operators to fermionic operators and then diagonalizing in the fermionic ba This transformation actually shows that the distinction between spin-1/2 particles and fermions is nonexistent. It can be applied to systems wit ...

...png|thumb|331x331px|A simplified illustration of the spin chain model. The spin of the ith site can interact with the spins from the i - 1 and i + 1 sites. ...stems, which typically consist of particles with magnetic [[spin (physics)|spin]] located at fixed sites on a [[lattice (group)|lattice]]. A prototypical e ...

The '''J1–J2 model''' is a [[quantum spin model]] like the [[Heisenberg model (quantum)|Heisenberg model]] but also i *[[Spin model]] ...

...del''') is a simplified [[statistical mechanics|statistical mechanical]] [[spin model]]. It is a generalization of the [[Ising model]]. Although it can be The <math>Z_N</math> model is defined by assigning a [[spin model|spin]] value at each node <math>r</math> on a graph, with the spins taking value ...

...e/abstract/10.1103/PhysRevE.90.032141|title=Effective ergodicity in single-spin-flip dynamics |journal= Physical Review E|date= 29 September 2014|volume= 9 In the Ising model, we have say N [[particle]]s that can [[Spin (physics)|spin]] up (+1) or down (-1). Say the particles are on a 2D grid. We label each w ...

...and noninteracting [[electron]]s. The quantum impurity is represented by a spin-1/2 particle, and is coupled to a continuous band of noninteracting electro where <math>\mathbf{S} </math> is the spin-1/2 operator representing the impurity, and ...

....|date=1994-08-01|title=Generalized cluster algorithms for frustrated spin models|url=https://link.aps.org/doi/10.1103/PhysRevB.50.3058|journal=Physical Revi ...own whether this algorithm can be generalized for arbitrary [[spin glass]] models. ...

...acts on a 2-dimensional square lattice. At each site in this lattice is a spin with the value +1 or -1. At time <math>t=0</math> the bits are initialized ...plus the neighboring spin to the East is greater than 0, then the current spin becomes +1 in the next time step. ...

...ng the <math>x</math> axis) which creates an energetic bias for one x-axis spin direction over the other. ...a quantum sense, the spin projection along the <math>x</math> axis and the spin projection along the <math>z</math> axis are not commuting observable quant ...

...le=Critical behaviour of SU(n) quantum chains and topological non-linear σ-models |url=https://doi.org/10.1016/0550-3213(88)90117-4 |journal=Nuclear Physics ...title=Effective Field Theory for the $\mathrm{SO}(n)$ Bilinear-Biquadratic Spin Chain |url=https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.107.07 ...

...dic lattice. Unlike the prototypical [[Quantum Heisenberg model|Heisenberg spin chain]], which only includes interactions between neighboring sites of the |access-date=18 July 2023 |language=en |issn=1572-9613}}</ref> Like those spin chains, the Inozemtsev model is [[exactly solvable]]. ...

...nts a phenomenon called [[social validation]] and thus extends the [[Ising spin model]]. In simple words, the model states: {{Statistical mechanics|cTopic=Models}} ...

...nt]]s (neglecting [[Coulomb force]]s). The model differs from similar spin-models such as the [[Ising model]] and the [[Heisenberg model (quantum)|Heisenberg ...roup|universality class]] as that of [[antiferromagnet]]ic Heisenberg spin models.<ref>{{Cite arXiv |last1=Sachdev |first1=Subir |year=1995 |title=Quantum ph ...

...t provides a powerful method of studying [[Lattice model (physics)|lattice models]]. Calculations with corner transfer matrices led Baxter to the exact solut ...n-round-a-face) model, i.e. a square lattice model with a [[Spin (physics)|spin]] σ_''i'' assigned to each site ''i'' and interactions limited to ...

...ber|first3=Helmut G.|date=2015-08-14|title=Efficient Cluster Algorithm for Spin Glasses in Any Space Dimension|journal=Physical Review Letters|volume=115|i ...-Redner (CMR) representation''' is a graphical representation of the Ising spin glass<ref name=":1">{{Cite journal|last1=Chayes|first1=L.|last2=Machta|firs ...

...ng | year = 2011 | title = Classification of Gapped Symmetric Phases in 1D Spin Systems | arxiv = 1008.3745 | journal = Phys. Rev. B | volume = 83 | issue ...t, or valence bond, the three spins together can never be found to be in a spin 3/2 state. In fact, the Majumdar–Ghosh Hamiltonian is nothing but the sum o ...

...M. Nester |name-list-style=amp |year=1976 |title=General relativity with spin and torsion: Foundations and prospects |journal=Rev. Mod. Phys. |volume=48 ==Models== ...