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Recently, in the Luttinger liquid phase of the one-dimensional generalized antiferromagnetic Kitaev spin-1/2 model, it has been found that the abelian bosonization formulas of the local spin operators only respect the exact discrete…

Strongly Correlated Electrons · Physics 2022-09-14 Wang Yang , Chao Xu , Alberto Nocera , Ian Affleck

In this work, we perform a detailed study on the consequences of nonsymmorphic symmetries in the Luttinger phase of the one-dimensional spin-1/2 Kitaev-Heisenberg-Gamma model with an antiferromagnetic Kitaev interaction. Nonsymmorphic…

Strongly Correlated Electrons · Physics 2025-05-08 Wang Yang , Chao Xu , Shenglong Xu , Alberto Nocera , Ian Affleck

In this work, we analyze the nonsymmorphic symmetry group structures for a variety of generalized Kitaev spin chains and ladders with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma chain, beyond nearest neighbor…

Strongly Correlated Electrons · Physics 2022-08-24 Wang Yang , Alberto Nocera , Paul Herringer , Robert Raussendorf , Ian Affleck

A simple modification of the standard Renormalization Group (RG) technique for the study of quantum spin systems is introduced. Our method which takes into account the effect of boundary conditions by employing the concept of superblock,…

Statistical Mechanics · Physics 2008-02-03 A. Langari , V. Karimipour

We investigate the application of a perturbative renormalization group (RG) method to random antiferromagnetic Heisenberg chains with arbitrary spin size. At zero temperature we observe that initial arbitrary probability distributions…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Saguia , B. Boechat , M. A. Continentino , O. F. de Alcantara Bonfim

We study the phase diagram of a one-dimensional version of the Kitaev spin-1/2 model with an extra ``$\Gamma$-term", using analytical, density matrix renormalization group and exact diagonalization methods. Two intriguing phases are found.…

Strongly Correlated Electrons · Physics 2020-04-15 Wang Yang , Alberto Nocera , Tarun Tummuru , Hae-Young Kee , Ian Affleck

A minimal Kitaev-Gamma model has been recently investigated to understand various Kitaev systems. In the one-dimensional Kitaev-Gamma chain, an emergent SU(2)$_1$ phase and a rank-1 spin ordered phase with $O_h\rightarrow D_4$ symmetry…

Strongly Correlated Electrons · Physics 2021-03-03 Wang Yang , Alberto Nocera , Erik S. Sørensen , Hae-Young Kee , Ian Affleck

A central question on Kitaev materials is the effects of additional couplings on the Kitaev model which is proposed to be a candidate for realizing topological quantum computations. However, two spatial dimension typically suffers the…

Strongly Correlated Electrons · Physics 2020-08-26 Wang Yang , Alberto Nocera , Ian Affleck

The theoretical inception of the Kitaev honeycomb model has had defining influence on the experimental hunt for quantum spin liquids, bringing unprecedented focus onto the synthesis of materials with bond-directional interactions. Numerous…

Strongly Correlated Electrons · Physics 2021-05-11 Finn Lasse Buessen , Yong Baek Kim

We compute the renormalization of dimension six Higgs-gauge boson operators that can modify \Gamma(h -> \gamma \gamma) at tree-level. Operator mixing is shown to lead to an important modification of new physics effects which has been…

High Energy Physics - Phenomenology · Physics 2015-06-12 Christophe Grojean , Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

Using the recently introduced adaptive density-matrix renormalization-group method, we study the many spin-spin correlations of the spin-$1/2$ antiferromagnetic Heisenberg chain with random coupling constants, namely, the mean value of the…

Disordered Systems and Neural Networks · Physics 2022-03-28 Alexander H. O. Wada , José A. Hoyos

We investigate the previously proposed cyclic regime of the Kosterlitz-Thouless renormalization group (RG) flows. The period of one cycle is computed in terms of the RG invariant. Using bosonization, we show that the theory has $U_q…

High Energy Physics - Theory · Physics 2015-06-26 A. Leclair , J. M. Roman , G. Sierra

The interplay of disorder and interactions is a challenging topic of condensed matter physics, where correlations are crucial and exotic phases develop. In one spatial dimension, a particularly successful method to analyze such problems is…

Strongly Correlated Electrons · Physics 2019-12-10 V. L. Quito , Pedro L. S. Lopes , José A. Hoyos , E. Miranda

Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap…

Strongly Correlated Electrons · Physics 2007-05-23 Edmond Orignac

We present a simple method, combining the density-matrix renormalization-group (DMRG) algorithm with finite-size scaling, which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by…

Strongly Correlated Electrons · Physics 2009-10-31 Shan-Wen Tsai , J. B. Marston

In this work, we perform a combination of classical and spin wave analysis on the one-dimensional spin-$S$ Kitaev-Heisenberg-Gamma model in the region of an antiferromagnetic Kitaev coupling. Four phases are found, including a N\'eel…

Strongly Correlated Electrons · Physics 2020-10-21 Wang Yang , Alberto Nocera , Ian Affleck

In a theory with broken supersymmetry, gaugino couplings renormalize differently from gauge couplings, as do higgsino couplings from Higgs boson couplings. As a result, we expect the gauge (Higgs boson) couplings and the corresponding…

High Energy Physics - Phenomenology · Physics 2011-01-17 Andrew D. Box , Xerxes Tata

If collider experiments demonstrate that the Minimal Supersymmetric Standard Model (MSSM) is a good description of nature at the weak scale, the experimental priority will be the precise determination of superpartner masses. These masses…

High Energy Physics - Phenomenology · Physics 2014-11-21 Marcela Carena , Patrick Draper , Nausheen R. Shah , Carlos E. M. Wagner

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap distribution and the string order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 Kazuo Hida

We study an extended Kitaev-Heisenberg model including additional anisotropic couplings by using two-dimensional density-matrix renormalization group method. Calculating the gound-state energy, entanglement entropy, and spin-spin…

Strongly Correlated Electrons · Physics 2015-02-20 Kazuya Shinjo , Shigetoshi Sota , Takami Tohyama
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