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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

New effects in the frustrated transverse Ising ring are predicted. The system is solved based on a mapping of Pauli spin operators to the Jordan-Wigner fermions. We group the low-lying energy levels into bands after imposing appropriate…

Statistical Mechanics · Physics 2016-01-12 Jian-Jun Dong , Peng Li , Qi-Hui Chen

Using the Density Matrix Renormalization Group method, we determined the phase diagram of a frustrated antiferromagnetic spin-$\frac 1 2$ ladder at zero temperature. Two spin-gapped phases, the Haldane phase and the singlet phase, are…

Strongly Correlated Electrons · Physics 2007-05-23 Xiaoqun Wang

We study a two-leg spin-1/2 ladder with isotropic exchanges and biquadratic interactions in the basic plaquettes. It is shown that for the extremely frustrated case, the system exhibits a self-organized phase separation. In some parameter…

Strongly Correlated Electrons · Physics 2009-10-31 Yupeng Wang

We study three-leg antiferromagnetic Heisenberg model with the periodic boundary conditions in the rung direction. Since the rungs form regular triangles, spin frustration is induced. We use the density-matrix renormalization group method…

Strongly Correlated Electrons · Physics 2009-11-13 S. Nishimoto , M. Arikawa

An effective low energy field theory is developed for a system of two chains. The main novelty of the approach is that it allows to treat generic intrachain repulsive interactions of arbitrary strength. The chains are coupled by a direct…

Strongly Correlated Electrons · Physics 2015-05-18 A. M. Tsvelik

Defects in frustrated antiferromagnetic spin chains are universally present in geometrically frustrated systems. We consider the defects of the one-dimensional, spin-$s$ XXZ chain with single-ion anisotropy on a periodic chain with $N$…

Strongly Correlated Electrons · Physics 2023-02-22 Christian Boudreault , Solomon A. Owerre , Manu B. Paranjape

We study a family of frustrated anti-ferromagnetic spin-$S$ systems with a fully dimerized ground state. This state can be exactly obtained without the need to include any additional three-body interaction in the model. The simplest members…

Strongly Correlated Electrons · Physics 2015-09-09 C. A. Lamas , J. M. Matera

We present a theoretical study of the magnetic phase diagram of the frustrated coupled ladder structure realized recently in several materials. This system displays a nondegenerate spin-gap state in the dimer limit and an infinitely…

Strongly Correlated Electrons · Physics 2009-10-30 B. Normand , K. Penc , M. Albrecht , F. Mila

We study the effect of an externally imposed rotation or magnetic field on frustrated multiband superconductors/superfluids. The frustration originates with multiple superconducting bands crossing the Fermi surface in conjunction with…

Superconductivity · Physics 2014-10-21 Troels Arnfred Bojesen , Asle Sudbø

The low-energy effective Hamiltonian of three coupled spin chains with periodic boundary conditions (spin tube) is expressed, in the limit of strong interchain coupling, in terms of XXZ chains coupled by biquadratic exchange interaction. A…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , R. Citro , N. Andrei

The interplay between frustration and quantum fluctuation in magnetic systems is known to be the origin of many exotic states in condensed matter physics. In this paper, we consider a frustrated four-leg spin tube under a magnetic field.…

Strongly Correlated Electrons · Physics 2015-03-11 X. Plat , Y. Fuji , S. Capponi , P. Pujol

We consider a spinless $t$-$t'$ ionic Hubbard chain at 1/2 filling and large hopping ratio $t'/t$. In this limit the model adequately maps onto a weakly coupled triangular ladder with a potential interchain bias. The low-energy properties…

Strongly Correlated Electrons · Physics 2024-10-10 Shota Garuchava , G. I. Japaridze , A. A. Nersesyan

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

Magnetic field induced multiple non-Dirac nodal-lines are found to emerge in the triplet dispersion bands of a frustrated spin-1/2 antiferromagnetic model on the CaVO lattice. Plaquette and bond operator formalisms have been employed to…

Strongly Correlated Electrons · Physics 2020-08-04 Moumita Deb , Asim Kumar Ghosh

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , A. Nihat Berker

Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional…

Strongly Correlated Electrons · Physics 2010-02-01 F. Michaud , T. Coletta , S. R. Manmana , J. -D. Picon , F. Mila

We study the relationship between the physics of topology and zero modes in frustrated systems and metama- terials. Zero modes that exist in topological matters are distinct from the ones arising from symmetry breaking. Incidentally, a…

Strongly Correlated Electrons · Physics 2018-10-03 Krishanu Roychowdhury , Michael J. Lawler

Many one--dimensional quantum systems, in particular interacting electron and spin systems, can be described a Luttinger liquids. Here, some basic ideas of this picture of one--dimensional systems are briefly reviewed. I then discuss the…

Condensed Matter · Physics 2009-10-28 H. J. Schulz