One-dimensional lattice model with an exact matrix-product ground state describing the Laughlin wave function

Datum

31.05.2013

Zeit

11:00 - 12:00

Sprecher

Dr. Masaaki Nakamura

Zugehörigkeit

Max-Planck-Institut for Solid State Research, Stuttgart

Sprache

en

Hauptthema

Materialien

Andere Themen

Materialien, Physik

Host

Grit Rötzer

Beschreibung

We introduce a one-dimensional lattice model with an exact matrix-product ground state describing the fractional quantum Hall (FQH) states in Laughlin series (filling factors nu=1/q) on torus geometry. Surprisingly, the exactly solvable Hamiltonian has the same mathematical structure as that of the pseudo potential for the Laughlin wave function, and naturally derives the general properties of the Laughlin wave function such as the Z_2 properties of the FQH states and the fermion-boson relation. The obtained exact ground states have high overlaps with the Laughlin states and well describe their properties. Using matrix product method, density functions and correlation functions are calculated analytically. Especially, obtained entanglement spectra show behavior of chiral Tomonaga-Luttinger liquid as was discussed by Li and Haldane. References: [1] M. Nakamura, Z.-Y. Wang and E. J. Bergholtz, Phys. Rev. Lett. 109, 016401 (2012) [2] Z.-Y. Wang, M. Nakamura, Phys. Rev. B in press, (arXiv:1206.3071) .

Links

• Seminars at the IFW

Letztmalig verändert: 31.05.2013, 09:39:35