Singlets and reflection symmetric spin systems
نویسندگان
چکیده
We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems. c ©1999 by the authors. Reproduction of this article, in its entirety, by any means, is permitted for non-commercial purposes. E-mail: [email protected], [email protected] ∗Work partially supported by US National Science Foundation grant PHY 98 20650. ∗∗Present address: Sektion Physik der Universität München, Theresienstr. 37, 80333 München, Germany
منابع مشابه
Reflection symmetry in mean–field replica–symmetric spin glasses
Abstract. The role of reflection symmetry breaking for the character of the appearance of replica symmetric spin glass state is investigated. We establish the following symmetry rule for classical systems with one order parameter in the replica symmetric mean field approximation. If in the pure system the transition to the ordered phase is of the second order, then in the corresponding random s...
متن کاملSpin models with random anisotropy and reflection symmetry.
We study the critical behavior of a general class of cubic-symmetric spin systems in which disorder preserves the reflection symmetry s(a) --> -s(a) , s(b) --> s(b) for b not equala . This includes spin models in the presence of random cubic-symmetric anisotropy with probability distribution vanishing outside the lattice axes. Using nonperturbative arguments we show the existence of a stable fi...
متن کاملManipulation of nuclear spins in semiconductor nanostructures
A single electron spin localized in III-V semiconductor structure is an attractive candidate for a solid state quantum bit. An outstanding bottleneck towards spin-based quantum computation has been the fast dephasing of the electron spin by the inevitable nuclear spin environment. In this talk, I will discuss preparations of nuclear spin environment using optical and electrical controlled dynam...
متن کاملVortex loops and Majoranas
We investigate the role that vortex loops play in characterizing eigenstates of interacting Majoranas. We give some general results and then focus on ladder Hamiltonian examples as a test of further ideas. Two methods yield exact results: (i) A mapping of certain spin Hamiltonians to quartic interactions of Majoranas shows that the spectra of these two examples coincide. (ii) In cases with refl...
متن کاملDoped Spin Ladder: Zhang-Rice Singlets or Rung-centred Holes?
We formulate charge transfer model for a single doped spin ladder, relevant for the intrinsically doped plane of coupled spin ladders in Sr3Ca11Cu24O41. Assuming the presence of the experimentally observed charge order in the system we solve the model using Hartree-Fock approximation. Our results show the profound stability of the Zhang-Rice singlets with respect to other configurations of dope...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999