Canonical Drude Weight for Non-integrable Quantum Spin Chains
نویسندگان
چکیده
منابع مشابه
Drude weight in non solvable quantum spin chains
For a quantum spin chain or 1D fermionic system, we prove that the Drude weight D verifies the universal Luttinger liquid relation v s = D/κ, where κ is the susceptibility and vs is the Fermi velocity. This result is proved by rigorous Renormalization Group methods and is true for any weakly interacting system, regardless its integrablity. This paper, combined with [1], completes the proof of t...
متن کاملIntegrable multiparametric quantum spin chains
Using Reshetikhin’s construction for multiparametric quantum algebras we obtain the associated multiparametric quantum spin chains. We show that under certain restrictions these models can be mapped to quantum spin chains with twisted boundary conditions. We illustrate how this general formalism applies to construct multiparametric versions of the supersymmetric t-J and U models. PACS: 71.20.Ad...
متن کاملExact S Matrices for Integrable Quantum Spin Chains Luca
We begin with a review of the antiferromagnetic spin 1/2 Heisenberg chain. In particular, we show that the model has particle-like excitations with spin 1/2, and we compute the exact bulk S matrix. We then review our recent work which generalizes these results. We first consider an integrable alternating spin 1/2 spin 1 chain. In addition to having excitations with spin 1/2, this model also has...
متن کاملIntegrable quantum spin chains and their classical continuous counterparts
We present certain classical continuum long wave-length limits of prototype integrable quantum spin chains, and define the corresponding construction of classical continuum Lax operators. We also provide two specific examples, i.e. the isotropic and anisotropic Heisenberg models. ∗Proceedings contribution to the Corfu Summer Institute on Elementary Particle Physics and Gravity Workshop on Non C...
متن کاملFinite temperature Drude weight of an integrable Bose chain
We study the Drude weight D(T ) at finite temperatures T of an integrable bosonic model where the particles interact via nearest-neighbour coupling on a chain. At low temperatures, D(T ) is shown to be universal in the sense that this region is equivalently described by a Gaussian model. This lowtemperature limit is also relevant for the integrable one-dimensional Bose gas. We then use the ther...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2018
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-018-1994-0