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We investigate the zero-temperature phase diagram of the fully frustrated transverse field Ising model on the square lattice both in the classical limit and in the presence of quantum fluctuations. At the classical level (the limit of…

Strongly Correlated Electrons · Physics 2014-12-03 Tommaso Coletta , Sergey E. Korshunov , Frédéric Mila

We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dimensional continuum Ising model, i.e., to showing that the…

Mathematical Physics · Physics 2025-02-03 Volker Betz , Benjamin Hinrichs , Mino Nicola Kraft , Steffen Polzer

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each…

Statistical Mechanics · Physics 2016-08-31 Nicolas Sourlas

We study the quantum Ising model on (2+1)-dimensional anti-de Sitter space using Matrix Product States (MPS) and Matrix Product Operators (MPOs). We explore the bulk phase diagram of the theory on regular tessellations of hyperbolic space…

High Energy Physics - Lattice · Physics 2026-04-09 Abhishek Samlodia , Simon Catterall , Alexander F. Kemper , Yannick Meurice , Goksu Can Toga

We study the one-dimensional quarter-filled extended Hubbard model with an alternating transfer integral. In the strong-dimerization limit the charge part is described by the quantum Ising model which shows the two-dimensional Ising…

Strongly Correlated Electrons · Physics 2009-11-10 Hiromi Otsuka , Masaaki Nakamura

Using continued fractions we study the ground state properties of the spin-1/2 Ising chain in a transverse field with periodically varying interaction strengths and external fields. We consider in detail the chain having the period of…

Condensed Matter · Physics 2009-10-31 Oleg Derzhko

We study the semi-infinite Ising model with an external field $h_i = \lambda |i_d|^{-\delta}$, $\lambda$ is the wall influence, and $\delta>0$. This external field decays as it gets further away from the wall. We are able to show that when…

Mathematical Physics · Physics 2023-12-01 Rodrigo Bissacot , João Maia

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

Strongly Correlated Electrons · Physics 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo

We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in…

Statistical Mechanics · Physics 2025-05-22 Vanja Marić , Florent Ferro , Maurizio Fagotti

The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included.…

Statistical Mechanics · Physics 2016-02-03 X. T. Wu , D. B. Abraham , J. O. Indekeu

Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Motivated by the recent interest in…

Strongly Correlated Electrons · Physics 2025-11-05 Fabian Köhler , Johanna Erdmenger , Roderich Moessner , Matthias Vojta

In one-dimensional systems a twisted superfluid phase is found which is induced by a spontaneous breaking of the time-reversal symmetry. Using the density-matrix renormalization group allows us to show that the excitation energy gap closes…

Quantum Gases · Physics 2016-07-22 Dirk-Sören Lühmann

We consider a zero-field Ising model defined on a quasiperiodic graph, the so-called Labyrinth tiling. Exact information about the critical behaviour is obtained from duality arguments and the subclass of models which yield commuting…

Statistical Mechanics · Physics 2007-05-23 Uwe Grimm , Michael Baake , Harald Simon

The dynamic magnetization-reversal phenomena in the Ising model under a finite-duration external magnetic field competing with the existing order for $T<T_c^0$ has been discussed. The nature of the phase boundary has been estimated from the…

Statistical Mechanics · Physics 2007-05-23 Arnab Chatterjee , Bikas K. Chakrabarti

Using extensive classical and quantum Monte Carlo simulations, we investigate the ground-state phase diagram of the fully frustrated transverse field Ising model on the square lattice. We show that pure columnar order develops in the…

Strongly Correlated Electrons · Physics 2012-11-28 Sandro Wenzel , Tommaso Coletta , Sergey E. Korshunov , Frédéric Mila

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic (AFM) regime at zero temperature using Generalized Hartree-Fock (GHF) theory. The spin-spin interaction extends to all spins in…

Quantum Physics · Physics 2023-05-10 Michael P. Kaicher , Davide Vodola , Simon B. Jäger

A hybrid spin-electron system on one-dimensional tetrahedral chain, in which the localized Ising spin regularly alternates with the mobile electron delocalized over three lattice sites, is exactly investigated using the generalized…

Strongly Correlated Electrons · Physics 2015-04-09 Lucia Gálisová , Jozef Strečka

The universality class of the dynamic magnetisation-reversal transition, induced by a competing field pulse, in an Ising model on a square lattice, below its static ordering temperature, is studied here using Monte Carlo simulations. Fourth…

Statistical Mechanics · Physics 2009-11-07 Arnab Chatterjee , Bikas K. Chakrabarti

In this article, new results are presented for the zero-temperature ground-state properties of the spin-half transverse Ising model on various lattices using three different approximate techniques. These are, respectively, the coupled…

Strongly Correlated Electrons · Physics 2017-08-23 R. F. Bishop , D. J. J. Farnell , M. L. Ristig
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