Spin fractionalization and zero modes in the spin-$\frac{1}{2}$ XXZ chain with boundary fields

• URL: http://arxiv.org/abs/2312.05970v1
• Date: Sun, 10 Dec 2023 19:02:59 GMT
• Title: Spin fractionalization and zero modes in the spin-$\frac{1}{2}$ XXZ chain with boundary fields
• Authors: Parameshwar R. Pasnoori, Yicheng Tang, Junhyun Lee, J. H. Pixley, Natan Andrei, Patrick Azaria
• Abstract summary: We show that the antiferromagnetic spin $frac12$ XXZ chain hosts fractional spin $frac14$ at its edges. In the limit of zero edge fields, we argue that these fractional spin operators once projected onto the low energy subspace spanned by the ground state and the first excited state, identify with the strong zero energy mode discovered by P. Fendley citeFendley.
• Score: 2.6055474393237956
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this work we argue that the antiferromagnetic spin $\frac{1}{2}$ XXZ chain in the gapped phase with boundary magnetic fields hosts fractional spin $\frac{1}{4}$ at its edges. Using a combination of Bethe ansatz and the density matrix renormalization group we show that these fractional spins are sharp quantum observables in both the ground and the first excited state as the associated fractional spin operators have zero variance. In the limit of zero edge fields, we argue that these fractional spin operators once projected onto the low energy subspace spanned by the ground state and the first excited state, identify with the strong zero energy mode discovered by P. Fendley \cite{Fendley}.

Related papers

• Harnessing Chiral Spin States in Molecular Nanomagnets for Quantum Technologies [44.1973928137492]
  We show that chiral qubits naturally suppress always-on interactions that can not be switched off in weakly coupled qubits. Our findings establish spin chirality engineering as a promising strategy for mitigating always-on interaction in entangling two chiral qubits in molecular quantum technologies.
  arXiv  Detail & Related papers  (2025-01-21T08:23:12Z)
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain [3.1592042828921505]
  This work studies a one-dimensional non-equilibrium Ising chain immersed in a tilted magnetic field. Every spin contacts a Boson reservoir with the dissipative system-environment interaction.
  arXiv  Detail & Related papers  (2024-12-18T13:00:58Z)
• Inverse participation ratio and entanglement of edge states in HgTe quantum wells in a finite strip geometry [0.0]
  Information on the edge states energies and wavefunctions is extracted from analytic and numerical Hamiltonian diagonalization approaches. Analysis of the structure of the edge-state wave functions in terms of spin, momentum $k_x$ in the $x$-direction and position $y$, evidences the spin polarization structure of edge states at the boundaries. The purity and entropies of the reduced density matrix (RDM) inform on the regions $(k_x,y)$ where the spin sector is more and less entangled with the rest of the system.
  arXiv  Detail & Related papers  (2024-07-17T10:46:19Z)
• Unveiling nonmagnetic phase and many-body entanglement in two-dimensional random quantum magnets Sr$_2$CuTe$_{1-x}$W$_x$O$_6$ [2.7204116565403744]
  We capture the physics of a series of spin stripe/2$ Heisenberg antiferromagnet compounds on a square lattice. An intermediate range of $x in [0.08, 0.55]$ is identified for a nonmagnetic phase without the long-range N'eel or stripe order. Deep inside this phase around $x = 0.3$, we observe signatures potentially linked to randomness-induced short-range spin-liquid-like states.
  arXiv  Detail & Related papers  (2024-07-08T13:22:51Z)
• Integrability and dark states of the XX spin-1 central spin model in a transverse field [44.99833362998488]
  The XX central spin model is integrable in the presence of a magnetic field oriented to the XY plane in which the coupling exists. In the spin-1/2 case, it was also shown, through an appropriate limit of the non-skew symmetric XXZ Richardson-Gaudin models, that it remained integrable even when the magnetic field is tilted to contain an in-plane component.
  arXiv  Detail & Related papers  (2024-07-03T11:47:22Z)
• Emergent Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a novel mechanism to explain the emergence of an intermediate gapless spin liquid phase (IGP) in the antiferromagnetic Kitaev model. We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States (iPEPS) an Entsatz.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Localization in the random XXZ quantum spin chain [55.2480439325792]
  We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space.
  arXiv  Detail & Related papers  (2022-10-26T17:25:13Z)
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions [68.8204255655161]
  It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity. It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
  arXiv  Detail & Related papers  (2021-12-31T15:09:48Z)
• Strong-coupling emergence of dark states in XX central spin models [77.34726150561087]
  It was recently shown that the XX central spin model is integrable in the presence of a magnetic field to the plane in which the coupling exists. We show that, provided the coupling is strong enough, dark states can actually be found even in the presence of an in-plane magnetic field.
  arXiv  Detail & Related papers  (2021-12-17T15:12:02Z)
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model [0.0]
  We study the effects of such non-local couplings in the long-range spin-$1/2$ XXZ Heisenberg Hamiltonian. For fast decay of the spin-spin couplings, we find that the two-spin energy spectrum is characterized by well-defined discrete values. On the other hand, two-spin bound states enable the dynamical stabilization of effective antiferromagnetic states.
  arXiv  Detail & Related papers  (2021-10-05T00:33:50Z)
• Remarks on Fermions in a Dipole Magnetic Field [0.0]
  This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center. We extend our computations in two significant ways. The first is to a relativistic spin-$frac12$ fermion and the second concerns the interpretation of the physics.
  arXiv  Detail & Related papers  (2021-07-21T13:42:03Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Polarized edge state emission from topological spin phases of trapped Rydberg excitons in Cu$_2$O [0.0]
  In one dimensional chains of trapped Rydberg excitons in cuprous oxide semiconductor the topological spin phase has been recently predicted. We study the properties of the ground state in the finite chains and its fine structure resulting from the effective interaction of the edge spins.
  arXiv  Detail & Related papers  (2020-08-06T15:52:41Z)
• Spin current generation and control in carbon nanotubes by combining rotation and magnetic field [78.72753218464803]
  We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field. By suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator.
  arXiv  Detail & Related papers  (2020-01-20T08:54:56Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.