Ground-state properties of the one-dimensional electron liquid
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 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 کاملCalculation of Thermodynamic Properties of the Quasi-one Dimensional Liquid 3He at Finite Temperature
We have used a variational approach to calculate some thermodynamic properties of the quasi-one dimensional liquid 3He such as the energy, entropy, free energy, equation of state and heat capacity at finite temperature. We have employed the Lennard-Jones potential as the inter-atomic interaction. We have seen that the total energy increases by increasing both temperature and density....
متن کاملGround-state energy of the electron liquid in ultrathin wires.
The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto exactly solvable models of mathematical physics. This approach becomes asymptotically exact in the limit of a small wire radius but remains numerically accu...
متن کاملHartree-Fock ground state of the three-dimensional electron gas.
In 1962, Overhauser showed that within Hartree-Fock (HF) the electron gas is unstable to a spin-density wave state. Determining the true HF ground state has remained a challenge. Using numerical calculations for finite systems and analytic techniques, we study the unrestricted HF ground state of the three-dimensional electron gas. At high density, we find broken spin symmetry states with a near...
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: 2011
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.83.245114