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Related papers: Edge modes in a frustrated quantum Ising chain

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We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

Statistical Mechanics · Physics 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

An Ising model with ferromagnetic nearest-neighbor interactions $J_{1}$ ($J_{1}>0$) and random next-nearest-neighbor interactions [$+J_{2}$ with probability $p$ and $-J_{2}$ with probability $(1-p)$; $J_{2}>0$] is studied within the…

Statistical Mechanics · Physics 2009-06-22 Octavio R. Salmon , J. Ricardo de Sousa , Fernando D. Nobre

The spin-1/2 transverse field two-leg Ising ladder with nearest-neighbor exchange and plaquette four-spin interaction $J_{4}$ is studied analytically and numerically with the density matrix renormalization group approach. The quantum phase…

Strongly Correlated Electrons · Physics 2022-02-09 J. C. Xavier , R. G. Pereira , M. E. S. Nunes , J. A. Plascak

We analyze the quantum phases, correlation functions and edge modes for a class of spin-1/2 and fermionic models related to the 1D Ising chain in the presence of a transverse field. These models are the Ising chain with anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2015-12-29 Davide Vodola , Luca Lepori , Elisa Ercolessi , Guido Pupillo

We consider the quantum Ising chain with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ and uniformly distributed random transverse fields ($\Gamma_0 \le \Gamma_i \le 2\Gamma_0$) in the presence of a…

Disordered Systems and Neural Networks · Physics 2020-02-05 Péter Lajkó , Jean-Christian Anglès d'Auriac , Heiko Rieger , Ferenc Iglói

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

The phase transitions occurring in the frustrated Ising square antiferromagnet with first- ($J_1 < 0$) and second- ($J_2 < 0$) nearest-neighbor interactions are studied within the framework of the effective-field theory with correlations…

Statistical Mechanics · Physics 2015-07-03 A. Bobák , T. Lučivjanský , M. Borovský , M. Žukovič

Describing and understanding the consequences of competing interactions remains profoundly challenging in both classical and quantum systems, as it is difficult to identify suitable order parameters, thereby hindering the characterization…

Statistical Mechanics · Physics 2025-11-20 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

The phase diagram of a frustrated S=1/2 antiferromagnetic spin ladder with additional next-nearest neighbor exchanges, both diagonal and inchain, is studied by a weak-coupling effective field theory approach combined with exact…

Strongly Correlated Electrons · Physics 2007-05-23 Temo Vekua , Andreas Honecker

A pair of counter-propagating Majorana edge modes appears in chiral p-wave superconductors and in other superconducting systems belonging to the same universality class. These modes can be described by an Ising conformal field theory. We…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Chang-Yu Hou , Fabian Hassler , Anton R. Akhmerov , Johan Nilsson

We investigate the transverse field Ising model on a diamond chain using series expansions about the high-field limit and exact diagonalizations. For the unfrustrated case we accurately determine the quantum critical point and its expected…

Strongly Correlated Electrons · Physics 2014-09-29 K. Coester , W. Malitz , S. Fey , K. P. Schmidt

We study the equilibrium properties of the nearest-neighbor Ising antiferromagnet on a triangular lattice in the presence of a staggered field conjugate to one of the degenerate ground states. Using a mapping of the ground states of the…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , Pinaki Chaudhuri , Chandan Dasgupta

We have studied the antiferromagnetic Ising chain in a transverse magnetic field $h_{x}$ and uniform longitudinal field $h_{z}$. Using the density matrix renormalization group calculation combined with a finite-size scaling the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Ovchinnikov , D. V. Dmitriev , V. Ya. Krivnov , V. O. Cheranovskii

We study the generation and propagation of local perturbations in a quantum many-body spin system. In particular, we study the Ising model in transverse field in the presence of a local field defect at one edge. This system possesses a rich…

Quantum Gases · Physics 2016-12-07 G. Francica , T. J. G. Apollaro , N. Lo Gullo , F. Plastina

The ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and…

Strongly Correlated Electrons · Physics 2015-06-04 Louis-Paul Henry , Peter C. W. Holdsworth , Frédéric Mila , Tommaso Roscilde

Double-stripe magnetism $[\mathbf{Q}=(\pi/2, \pi/2)]$ has been proposed as the magnetic ground state for both the iron-telluride and BaTi$_2$Sb$_2$O families of superconductors. Double-stripe order is captured within a $J_1-J_2-J_3$…

Superconductivity · Physics 2018-01-03 Guanghua Zhang , Rebecca Flint

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 study the ground-state phase diagram of an unfrustrated antiferromagnetic Ising chain with longitudinal and transverse fields in the full range of interactions: from all-to-all to nearest-neighbors. First, we solve the model analytically…

We study the zero temperature phase diagram of Ising spin systems in two dimensions in the presence of competing interactions, long range antiferromagnetic and nearest neighbor ferromagnetic of strength J. We first introduce the notion of a…

Statistical Mechanics · Physics 2013-05-29 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

Weakly coupled Ising chains provide a condensed-matter realization of confinement. In these systems, kinks and antikinks bind into mesons due to an attractive interaction potential that increases linearly with the distance between the…

Statistical Mechanics · Physics 2020-07-20 Flavia B. Ramos , Mate Lencses , J. C. Xavier , Rodrigo G. Pereira
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