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The magnetic properties of the antiferromagnetic spin ladder with the next-nearest neighbor interaction, particularly under external field, are investigated by the exact diagonalization of the finite clusters and size scaling techniques. It…

Strongly Correlated Electrons · Physics 2009-10-31 Toru Sakai , Nobuhisa Okazaki

The magnetization process of the $S$=1/2 antiferromagnetic spin ladder with the four-spin cyclic exchange interaction at T=0 is studied by the exact diagonalization of finite clusters and size scaling analyses. It is found that a…

Strongly Correlated Electrons · Physics 2009-10-31 Toru Sakai , Yasumasa Hasegawa

We have studied the ground state phase diagram of a spin ladder with alternating rung exchange $J^{n}_{\perp} = J_{\perp}[1 + (-1)^{n} \delta ]$ in a magnetic filed, in the limit where the rung coupling is dominant. In this limit the model…

Strongly Correlated Electrons · Physics 2015-06-25 G. I. Japaridze , E. Pogosyan

We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_{3}$ and a dimer field with period $q$ and strength $\delta$. The latter generates a magnetization…

Strongly Correlated Electrons · Physics 2016-08-15 A. Fledderjohann , C. Gerhardt , M. Karbach , K. -H. Mütter , R. Wießner

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

The effect of next-nearest-neighbor hopping $t_{2}$ on the ground-state phase diagram of the one-dimensional Kondo lattice is studied with density-matrix renormalization-group techniques and by comparing with the phase diagram of the…

Strongly Correlated Electrons · Physics 2019-03-05 Matthias Peschke , Lena-Marie Woelk , Michael Potthoff

We study the magnetization process of the $S=1/2$ antiferromagnetic spin ladder in the presence of the second and the third-neighbor couplings which lead to frustration with the typical nearest-neighbor coupling. We use degenerate…

Strongly Correlated Electrons · Physics 2009-10-31 Nobuhisa Okazaki , Kiyomi Okamoto , Toru Sakai

The phase diagram of an antiferromagnetic ladder with frustrating next-nearest neighbor couplings along the legs is determined using numerical methods (exact diagonalization and density-matrix renormalization group) supplemented by…

Strongly Correlated Electrons · Physics 2011-10-11 Arthur Lavarélo , Guillaume Roux , Nicolas Laflorencie

We investigate the ground-state properties of the spin-half $J_1{-}J_2$ Heisenberg chain with a next-nearest-neighbor spin-Peierls dimerization using conformal field theory and Lanczos exact diagonalizations. In agreement with the results…

Strongly Correlated Electrons · Physics 2009-11-10 Luca Capriotti , Federico Becca , Sandro Sorella , Alberto Parola

Two-leg spin-1/2 ladder systems consisting of a ferromagnetic leg and an antiferromagnetic leg are considered where the spins on the legs interact through antiferromagnetic rung couplings $J_1$. These ladders can have two geometrical…

Strongly Correlated Electrons · Physics 2018-03-14 Debasmita Maiti , Dayasindhu Dey , Manoranjan Kumar

The ground-state magnetic phase diagram of a spin $S=1/2$ two-leg ladder with alternating rung exchange $J_{\perp}(n)=J_{\perp}[1 + (-1)^{n} \delta]$ is studied using the analytical and numerical approaches. In the limit where the rung…

Strongly Correlated Electrons · Physics 2012-07-26 G. I. Japaridze , S. Mahdavifar

We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting…

Strongly Correlated Electrons · Physics 2025-12-03 Anna Keselman , Xinyuan Xu , Hao Zhang , Cristian D. Batista , Oleg A. Starykh

An $S=1/2$ triangular-lattice Heisenberg antiferromagnet with next-nearest-neighbor interactions is investigated under a magnetic field by the numerical-diagonalization method. It is known that, in both cases of weak and strong…

Strongly Correlated Electrons · Physics 2017-10-05 Hiroki Nakano , Toru Sakai

The magnetization process of the S=1/2 antiferromagnetic spin ladder at T=0 is studied by the exact diagonalization of finite clusters and size scaling analyses. It is found that a magnetization plateau appears at half the saturation value…

Strongly Correlated Electrons · Physics 2009-10-31 Nobuhisa Okazaki , Junji Miyoshi , Toru Sakai

We study the magnetic orbital effect of a doped two-leg ladder in the presence of a magnetic field component perpendicular to the ladder plane. Combining both low-energy approach (bosonization) and numerical simulations (density-matrix…

Strongly Correlated Electrons · Physics 2007-11-05 G. Roux , E. Orignac , S. R. White , D. Poilblanc

We study the spin-$1\over2$ Heisenberg antiferromagnet with an antiferromagnetic $J_3$ (third nearest neighbor) interaction on a square lattice. We numerically diagonalize this ``$J_1$-$J_3$'' model on clusters up to 32-sites and search for…

Condensed Matter · Physics 2009-10-28 P. W. Leung , Ngar-wing Lam

We present a Density Matrix Renormalization Group (DMRG) study of the ground-state properties of spin-1/2 frustrated $J_1-J_3$ Heisenberg $n_l$-leg ladders (with $n_l$ up to 8). For strong frustration ($J_3/J_1\simeq 0.5$), both even- and…

Strongly Correlated Electrons · Physics 2009-11-10 Luca Capriotti , Douglas J. Scalapino , Steven R. White

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

Strongly Correlated Electrons · Physics 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Geometric frustration among competing spin exchanges can give rise to novel quantum phases by enhancing fluctuations that drive magnetic systems beyond the classical regime. We investigate the frustrated array of strongly correlated spin…

The $S=1/2$ quantum spin ladder system with the anisotropic ferromagnetic exchange interaction on the rung under magnetic field is investigated using the numerical diagonalization and the density matrix renormalization group (DMRG)…

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