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First order Mott transition at zero temperature in two dimensions : Variational plaquette study
| Content Provider | Semantic Scholar |
|---|---|
| Author | Balzer, M. Kyung, Bumsoo Sénéchal, David Tremblay, A.-M. S. Potthoff, Michael T. |
| Copyright Year | 2008 |
| Abstract | The nature of the metal-insulator Mott transition at zero temperature has been discussed for a number of years. Whether it occurs through a quantum critical point or through a first-order transition is expected to profoundly influence the nature of the finite-temperature phase diagram. In this paper, we study the zero temperature Mott transition in the two-dimensional Hubbard model on the square lattice with the variational cluster approximation. This takes into account the influence of antiferromagnetic short-range correlations. By contrast to single-site dynamical mean-field theory, the transition turns out to be first order even at zero temperature. Copyright c © EPLA, 2009 Introduction. – The correlation-driven transition from a paramagnetic normal Fermi liquid at weak coupling to a paramagnetic Mott insulator at strong coupling is one of the most important paradigms in solid-state theory [1,2]. For example, the Mott state is suggested to represent the proper starting point for theoretical studies of the extremely rich and difficult correlation physics of two-dimensional systems such as cuprate-based high-temperature superconductors [3]. A big step forward in the understanding of the Mott transition was made by applying the dynamical mean-field theory (DMFT) [4–6] to the single-band Hubbard model which is believed to capture the main physics of the Mott transition in a prototypical way. The Hamiltonian is given by |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hp.physnet.uni-hamburg.de/group_vts/paper/BKS+09.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0808.2364v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Antiferromagnetism Approximation Arabic numeral 0 Calculus of variations Critical point (network science) Dimensions Dynamical mean-field theory Femtometer Hamiltonian (quantum mechanics) Hubbard model Phase diagram Quantum critical point Quantum field theory Topological insulator Variational inequality Variational principle |
| Content Type | Text |
| Resource Type | Article |
