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The phase diagram of the spin-1 bond-alternating XXZ chain is studied numerically. This model is appropriate to study the VBS picture and the hidden Z_2\times Z_2 symmetry concerning to the Haldane gap problem. The possible phases are the…

Strongly Correlated Electrons · Physics 2008-02-03 Atsuhiro Kitazawa , Kiyohide Nomura

For a class of Hamiltonians of $XXZ$ spin chains in a uniform external magnetic field that are small quantum perturbations of an Ising Hamiltonian, it is shown that the spectral gap above the ground-state energy remains strictly positive…

Mathematical Physics · Physics 2025-01-22 Simone Del Vecchio , Jürg Fröhlich , Alessandro Pizzo , Alessio Ranallo

We investigate a lattice version of the Yang-Lee model which is characterized by a non-Hermitian quantum spin chain Hamiltonian. We propose a new way to implement PT-symmetry on the lattice, which serves to guarantee the reality of the…

High Energy Physics - Theory · Physics 2009-11-05 Olalla A. Castro-Alvaredo , Andreas Fring

It is shown that topological insulating phases driven by interactions can be realized without the need for spin-orbit coupling or large intersite interaction in a two-dimensional system of spin-1/2 fermions with a single pair of…

Strongly Correlated Electrons · Physics 2014-05-21 James M. Murray , Oskar Vafek

We study functionals, such as heat and work, along trajectories of a class of multi-dimensional generalized Langevin systems in various limiting situations that correspond to different level of homogenization. These are the situations where…

Probability · Mathematics 2021-02-25 Soon Hoe Lim

We introduce a one dimensional spin $\frac{1}{2}$ Hamiltonian with multi-site interactions, but still local. The algebra of its Hamiltonian densities resembles that of the transverse field Ising model. Using this fact we show that its…

Statistical Mechanics · Physics 2026-05-29 Akash Sinha , Somnath Maity , Pramod Padmanabhan , Vladimir Korepin

The interplay between antiferromagnetic interaction and hole motion is capable of inducing intriguing conducting topological Haldane phases described by a finite non-local string order parameter. Here we show that these states of matter are…

Quantum Gases · Physics 2020-04-27 A. Montorsi , S. Fazzini , L. Barbiero

Using a specially designed Monte Carlo algorithm with directed loops, we investigate the triangular lattice Ising antiferromagnet with coupling beyond nearest neighbour. We show that the first-order transition from the stripe state to the…

Strongly Correlated Electrons · Physics 2016-05-11 Andrew Smerald , Sergey Korshunov , Frederic Mila

We study the XYZ spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value of the XY anisotropy a…

Strongly Correlated Electrons · Physics 2007-05-23 Amit Dutta , Diptiman Sen

Of the available classes of insulators which have been shown to contain topologically non-trivial properties one of the most important is class AII, which contains systems that possess time-reversal symmetry $T$ with $T^2=-1.$ This class…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew J. Gilbert , B. Andrei Bernevig , Taylor L. Hughes

We investigate the phase diagram of an anisotropic ferrimagnet spin-(1/2, 1) in the presence of a non-commuting (transverse) magnetic field. We find a magnetization plateau for the isotropic case while there is no plateau for the…

Strongly Correlated Electrons · Physics 2011-09-12 A. Langari , J. Abouie , M. Z. Asadzadeh , M. Rezai

The ground-state degeneracy of the quantum spin system is a characteristic of nontrivial topology, when it is gapped and robust against disordered perturbation. The corresponding quantum phase transition (QPT) is usually driven by a real…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 K. L. Zhang , Z. Song

We report a stable magnetic domain wall in a uniform ferromagnetic spin-1 condensate, characterized by the magnetization having a dark soliton profile with nonvanishing superfluid density. We find exact stationary solutions for a particular…

Quantum Gases · Physics 2021-04-21 Xiaoquan Yu , P. B. Blakie

Topological spin liquids can be described by topological gauge theories with global symmetry. Due to the presence of both nontrivial bulk deconfined gauge fluxes and global symmetry, topological spin liquids are examples of the so-called…

Strongly Correlated Electrons · Physics 2018-03-19 Peng Ye

The existence of topological zero modes in nontrivial phase of quantum Ising chain results in not only the Kramers-like degeneracy spectrum, but also dynamic response for non-Hermitian perturbation in the ordered phase (2021 Phys. Rev.…

Quantum Physics · Physics 2022-09-16 K. L. Zhang , Z. Song

Motivated by the $\Omega$-spectrum proposal of unique gapped ground states by Kitaev, we study adiabatic cycles in gapped quantum spin systems from various perspectives. We give a few exactly solvable models in one and two spatial…

Strongly Correlated Electrons · Physics 2022-09-08 Ken Shiozaki

Topological insulators lacking time-reversal symmetry can exhibit the quantum anomalous Hall effect. Odd-layer thick MnBi$_2$Te$_4$ is a promising platform due to its intrinsic magnetic nature, however, quantization is rarely observed in…

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

We show that supersymmetry Ward identities contain an anomalous term which takes the form of a surface term in Hilbert space. In the one-instanton sector the anomalous term is the integral of a total rho-derivative where rho is the…

High Energy Physics - Theory · Physics 2007-05-23 A. Casher , Y. Shamir

Results are presented for the nonequilibrium dynamics of a quantum $XXZ$-spin chain whose spins are initially arranged in a domain wall profile via the application of a magnetic field in the $z$-direction which is spatially varying along…

Quantum Gases · Physics 2015-05-18 Jarrett Lancaster , Aditi Mitra