Exact ground state for one-dimensional electronic models
نویسندگان
چکیده
منابع مشابه
Exact ground-state properties of a one-dimensional Coulomb gas
The ground-state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground-state wave function which permits solution of the Fermi sign problem in the following respects: (i) the nodal surface is known, permitting exact calculations; and (ii) evaluation of determinants is avoided, reducing the numerical complexity to that of a bosoni...
متن کامل0 N ov 1 99 9 Exact ground state for 1 D electronic models
We have found the exact ground state for two electronic models on a linear chain. The first model describes half-filling electron system in the ferromagnet– antiferromagnet transition point. In the singlet ground state the spin correlators show giant spiral magnetic ordering with the period of a spiral equals to the system size. The second electronic model describes the point where the ground s...
متن کاملinfinite dimensional garch models
مدلهای گارچ در فضاهای هیلبرت پایان نامه حاضر شامل دو بخش می باشد. در قسمت اول مدلهای اتورگرسیو تعمیم یافته مشروط به ناهمگنی واریانس در فضاهای هیلبرت را معرفی، مفاهیم ریاضی مورد نیاز در تحلیل این مدلها در دامنه زمان را مطرح کرده و آنها را مورد بررسی قرار می دهیم. بر اساس پیشرفتهایی که اخیرا در زمینه تئوری داده های تابعی و آماره های عملگری ایجاد شده است، فرآیندهایی که دارای مقادیر در فضاهای ...
15 صفحه اولGround State Entanglement in One Dimensional Translationally Invariant Quantum Systems
We examine whether it is possible for one-dimensional translationally-invariant Hamiltonians to have ground states with a high degree of entanglement. We present a family of translationally invariant Hamiltonians {Hn} for the infinite chain. The spectral gap of Hn is Ω(1/poly(n)). Moreover, for any state in the ground space of Hn and anym, there are regions of sizem with entanglement entropy Ω(...
متن کاملGround state properties of one-dimensional Bose–Fermi mixtures
Bose–Fermi mixtures in one dimension are studied in detail on the basis of an exact solution. Corresponding to three possible choices of the reference state in the quantum inverse scattering method, three sets of Bethe-ansatz equations are derived explicitly. The features of the ground state and low-lying excitations are investigated. The ground state phase diagram caused by the external field ...
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: Physical Review B
سال: 2000
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.61.14592