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Fully Frustrated Ising Model on a Square Lattice [PDF]

open access: yesProgress of Theoretical Physics Supplement, 1986
We investigate a fully frustrated Ising model with four nearest-neighbor interaction constants on a square lattice. We obtain an exact form of the partition function by using a decimation transformation and a dual transformation. The partition function is then expressed as a product of two partition functions each of which is the one of the Ising model
openaire   +2 more sources

Triad second renormalization group

open access: yesJournal of High Energy Physics, 2022
We propose a second renormalization group (SRG) in the triad representation of tensor networks. The SRG method improves two parts of the triad tensor renormalization group, which are the decomposition of intermediate tensors and the preparation of ...
Daisuke Kadoh   +2 more
doaj   +1 more source

Fundamental limits on low-temperature quantum thermometry with finite resolution [PDF]

open access: yesQuantum, 2019
While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not yet fully understood theoretically.
Patrick P. Potts   +2 more
doaj   +1 more source

The Extended Coupled Cluster Treatment of Correlations in Quantum Magnets [PDF]

open access: yes, 1999
The spin-half XXZ model on the linear chain and the square lattice are examined with the extended coupled cluster method (ECCM) of quantum many-body theory.
A.W. Sandvik   +46 more
core   +2 more sources

Strong- and Weak-Universal Critical Behaviour of a Mixed-Spin Ising Model with Triplet Interactions on the Union Jack (Centered Square) Lattice

open access: yesEntropy, 2018
The mixed spin-1/2 and spin-S Ising model on the Union Jack (centered square) lattice with four different three-spin (triplet) interactions and the uniaxial single-ion anisotropy is exactly solved by establishing a rigorous mapping equivalence with the ...
Jozef Strečka
doaj   +1 more source

Finite-temperature phase transitions in the quantum fully frustrated Ising models

open access: yes, 2012
The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at finite ...
S. V. Iordansky   +4 more
core   +1 more source

Free-Fermion Models and Two-Dimensional Ising Models Under Zero Field and Imaginary Field i(π/2)kBT

open access: yesEntropy
The Ising model is famous in condensed matter and statistical physics. In this work we present a free-fermion formulation of the two-dimensional classical Ising models on honeycomb, triangular and Kagomé lattices. Each Ising model is studied in the cases
De-Zhang Li, Xin Wang, Xiao-Bao Yang
doaj   +1 more source

Thermal Ising transition in two-dimensional SU(3) Fermi lattice gases with population imbalance

open access: yesPhysical Review Research, 2023
We focus on three-component SU(3) Fermi gases loaded into a square optical lattice, with population imbalance between one component and the others. At strong coupling the system is described by the SU(3) Heisenberg model with an external field that ...
Hayato Motegi   +3 more
doaj   +1 more source

The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2021
Abstract Based on the results obtained in (Hucht 2017 J. Phys. A: Math. Theor. 50 065201), we show that the partition function of the anisotropic square lattice Ising model on the L × M rectangle, with open boundary conditions in both directions, is given by the determinant of an M/2 × M/2 Hankel matrix, that ...
openaire   +3 more sources

Unusual scaling for two-dimensional avalanches: Curing the faceting and scaling in the lower critical dimension

open access: yesPhysical Review Research, 2019
The nonequilibrium random-field Ising model is well studied, yet there are outstanding questions. In two dimensions, power-law scaling approaches fail and the critical disorder is difficult to pin down.
L. X. Hayden   +2 more
doaj   +1 more source

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