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We construct a family of integrable vertex model based on the typical four-dimensional representations of the quantum group deformation of the Lie superalgebra $sl(2|1)$. Upon alternation of such a representation with its dual this model…

统计力学 · 物理学 2012-05-16 Holger Frahm , Márcio J. Martins

We consider the spin-1/2 antiferromagnetic Heisenberg model on two one-dimensional frustrated lattices, double-tetrahedral chain and octahedral chain, with almost dispersionless (flat) lowest magnon band in a strong magnetic field. Using…

强关联电子 · 物理学 2020-08-12 Olesia Krupnitska

We use the two cut-off renormalization group (RG) method to study the spin-Peierls model in one-dimension for the entire phonon frequency range. We integrate out the phonon and solve the effective Fermion system via mean field and RG…

强关联电子 · 物理学 2009-10-31 Ping Sun , D. Schmeltzer , A. R. Bishop

We study the electron transport through a magnetic molecular transistor in the Kondo limit using the slave boson technique. We include the electron-phonon coupling and analyze the cases where the spin of the molecule is either S=1/2 or S=1.…

强关联电子 · 物理学 2008-01-23 M. D. Nuñez Regueiro , P. S. Cornaglia , Gonzalo Usaj , C. A. Balseiro

The supersymmetric formulation of t-J model is studied in this paper at the mean-field level where $\delta$-T phase diagram is computed. We find that slave-fermion-like spiral phase is stable at low doping concentration, and the…

超导电性 · 物理学 2007-05-23 Chi-Ho Cheng , T. K. Ng

We study the interacting dimerized Kitaev chain at the symmetry point $\Delta=t$ and the chemical potential $\mu=0$ under open boundary conditions, which can be exactly solved by applying two Jordan-Wigner transformations and a spin…

强关联电子 · 物理学 2018-01-03 Yucheng Wang , Jian-Jian Miao , Hui-Ke Jin , Shu Chen

We show that the physical subspace in the Z2-slave-spin theory is conserved under the time evolution of the system. Thus, when restricted to the physical subspace, this representation gives a complete and consistent description of the…

强关联电子 · 物理学 2013-01-04 Andreas Rüegg , Sebastian D. Huber , Manfred Sigrist

We explore a scheme for engineering a one-dimensional spinless p-wave superconductor hosting unpaired Majorana zero-energy modes, using an all-electric setup with a spin-orbit coupled quantum wire in proximity to an s-wave superconductor.…

强关联电子 · 物理学 2016-09-21 Mariana Malard , G. I. Japaridze , Henrik Johannesson

We construct a new $U(1)$ slave spin representation for the single band Hubbard model in the large-$U$ limit. The mean-field theory in this representation is more amenable to describe both the spin-charge-separation physics of the Mott…

强关联电子 · 物理学 2024-12-30 Wenxin Ding , Rong Yu

We develop an effective continuum description for information scrambling in a chain of randomly interacting Majorana fermions. The approach is based on the semiclassical treatment of the path integral for an effective spin chain that…

统计力学 · 物理学 2026-01-30 Tobias Swann , Adam Nahum

The Kitaev model is exactly solvable in terms of Majorana fermions hopping on a honeycomb lattice and coupled to a static $\mathbb{Z}_2$ gauge field, giving the possibility of $\pi$-vortices in hexagonal plaquettes. In the vortex-full…

强关联电子 · 物理学 2026-01-28 Surajit Basak , Jean-Noël Fuchs

We demonstrate topological characterization of $S=\frac{1}{2}$ Kitaev quantum spin liquids on a series of one-dimensional honeycomb nanoribbon lattices with zigzag and armchair terminated edges. We draw their Majorana spinon phase diagrams…

强关联电子 · 物理学 2023-06-21 Ryuto Tadokoro , Shoji Yamamoto

We summarize our recent study of the fermion spectrum in a fermion-scalar 2D model with a chiral $U(1)_L \times U(1)_R$ global symmetry. This model is obtained from a two-cutoff lattice formulation of a 2D U(1) chiral gauge theory, in the…

高能物理 - 格点 · 物理学 2010-03-19 P. Hernandez , Ph. Boucaud

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

统计力学 · 物理学 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

Lattice models with supersymmetry are known to exhibit a variety of remarkable properties that do not exist in the relativistic models. In this paper, we introduce an interacting generalization of the Kitaev chain of Majorana fermions with…

强关联电子 · 物理学 2023-10-31 Urei Miura , Kenji Shimomura , Keisuke Totsuka

We show that in double-chain Mott insulators (ladders), disordered alternating ionic potentials may locally destroy coherence of magnetic excitations and lead to the appearance of spontaneously dimerized islands inside the Haldane…

强关联电子 · 物理学 2015-05-28 A. A. Nersesyan , A. M. Tsvelik

We study an interacting one-dimensional gas of spin-1/2 fermions with two-body losses. The dynamical phase diagram that characterises the approach to the stationary state displays a wide quantum-Zeno region, identified by a peculiar…

量子气体 · 物理学 2023-01-19 Lorenzo Rosso , Alberto Biella , Jacopo De Nardis , Leonardo Mazza

We study the 3D Kitaev and Kitaev-Heisenberg models respectively on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit. Our analysis relies on advanced tensor network (TN)…

强关联电子 · 物理学 2021-09-08 Saeed S. Jahromi , Hadi Yarloo , Roman Orus

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

强关联电子 · 物理学 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

We introduce a systematic method to spectrally design quasi-one-dimensional crystal models described by the Dirac equation in the low-energy regime. The method is based on the supersymmetric transformation applied to an initially known…

介观与纳米尺度物理 · 物理学 2025-02-25 Vit Jakubsky , Kevin Zelaya