Xin Tài Khoản One Click Root

      107
Learn about our response lớn COVID-19, including freely available research and expanded remote access tư vấn.

Bạn đang xem: Xin tài khoản one click root

Phantom Bethe roots in the integrable open spin-12 XXZ chain

Xin Zhang, Andreas Klümper, và Vladislav PopkovPhys. Rev. B 103, 115435 – Published 22 March 2021
*
*
*
More
AbstractAuthorsArticle Text— INTRODUCTION— PHANTOM BETHE ROOTS IN THE OPEN XXZ…— MIXTURE OF PHANTOM AND REGULAR ROOTS…— SPIN HELIX STATES AS “PERFECT” PHANTOM…— XXZ OPEN SPIN-12 CHAIN WITH PHANTOM…— MIXTURES OF PHANTOM AND REGULAR ROOTS…— PROPERTIES OF PHANTOM BETHE VECTORS FOR…— DISCUSSION— ACKNOWLEDGMENTS— APPENDICESReferences

Xem thêm: Nhh Là Mã Trường Nào - Mã Trường Mã Ngành Học Viện Ngân Hàng 2021

*

*

We investigate special solutions to lớn the Bethe Ansatz equations (BAE) for open integrable XXZ Heisenberg spin chains containing phantom (infinite) Bethe roots. The phantom Bethe roots bởi vì not contribute to lớn the energy of the Bethe state, so the energy is determined exclusively by the remaining regular excitations. We derive the phantom Bethe roots criterion and focus on BAE solutions for mixtures of phantom roots & regular (finite) Bethe roots. We prove sầu that in the presence of phantom Bethe roots, all eigenstates are split between two invariant subspaces, spanned by chiral shock states. Bethe eigenstates are described by two complementary sets of Bethe ansatz equations for regular roots, one for each invariant subspace. The respective sầu “semiphantom” Bethe vectors are states of chiral nature, with chirality properties getting less pronounced when more regular Bethe roots are added. For the easy plane case, “semiphantom” Bethe states carry nonzero magnetic current & are characterized by quasiperiodic modulation of the magnetization profile, the most prominent example being the spin helix states (SHS). We illustrate our results investigating “semiphantom” Bethe states generated by one regular Bethe root (the other Bethe roots being phantom), with a simple structure of the invariant subspace, in all details. We obtain the explicit expressions for Bethe vectors & calculate the simplest correlation functions, including the spin-current for all the states in the single-particle multiplet.


Received 1 February 2021Accepted 9 March 2021

DOI:https://doi.org/10.1103/PhysRevB.103.115435