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A generic method to investigate many-body continuous-variable systems is pedagogically presented. It is based on the notion of matrix product states (so-called MPS) and the algorithms thereof. The method is quite versatile and can be…

强关联电子 · 物理学 2013-05-29 S. Iblisdir , R. Orus , J. I. Latorre

We report on the result of quantum Monte Carlo simulation of quasi-one-dimensional electron systems at 1/4-filling, considering organic superconductors such as TMTSF- and TMTTF-salts. We focus on the effect of dimensionality (interchain…

强关联电子 · 物理学 2009-11-13 Tohru Aonuma , Yuki Fuseya , Masao Ogata

Superconductivity of quasi-one-dimensional organic conductors with a quarter-filled band is investigated using the two-loop renormalization group approach to the extended Hubbard model for which both the single electron hopping t_{\perp}…

强关联电子 · 物理学 2010-01-28 Kazuto Kajiwara , Masahisa Tsuchiizu , Yoshikazu Suzumura , Claude Bourbonnais

Using dynamical mean-field theory (DMFT) we study a simplified model for heterostructures involving superconductors. The system is driven out-of-equilibrium by a voltage bias, imposed as an imbalance of chemical potential at the interface.…

强关联电子 · 物理学 2016-03-21 A. Amaricci , M. Capone

The extended dynamical mean field theory has played an important role in the study of quantum phase transitions in heavy fermion systems. In order to incorporate the physics of unconventional superconductivity, we develop a cluster version…

强关联电子 · 物理学 2015-05-19 J. H. Pixley , Ang Cai , Qimiao Si

Topological superconductivity in quasi-one-dimensional systems is a novel phase of matter with possible implications for quantum computation. Despite years of effort, a definitive signature of this phase in experiments is still debated. A…

介观与纳米尺度物理 · 物理学 2021-07-12 Omri Lesser , Andrew Saydjari , Marie Wesson , Amir Yacoby , Yuval Oreg

Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

强关联电子 · 物理学 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar

Divergencies appearing in perturbation expansions of interacting many-body systems can often be removed by expanding around a suitably chosen renormalized (instead of the non-interacting) Hamiltonian. We describe such a renormalized…

强关联电子 · 物理学 2009-11-07 A. Neumayr , W. Metzner

We study a restricted class of correlator product states (CPS) for a spin-half chain in which each spin is contained in just two overlapping plaquettes. This class is also a restriction upon matrix product states (MPS) with local dimension…

量子物理 · 物理学 2016-10-26 Vid Stojevic , Philip Crowley , Tanja Đurić , Callum Grey , Andrew Green

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

强关联电子 · 物理学 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

超导电性 · 物理学 2019-07-19 Dionys Baeriswyl

In stochastic modeling, there has been a significant effort towards finding predictive models that predict a stochastic process' future using minimal information from its past. Meanwhile, in condensed matter physics, matrix product states…

量子物理 · 物理学 2019-02-05 Chengran Yang , Felix C. Binder , Varun Narasimhachar , Mile Gu

We explore the non-equilibrium dynamics of a one-dimensional Fermi-Hubbard system as a sensitive testbed for the capabilities of the time-dependent two-particle reduced density matrix (TD2RDM) theory to accurately describe time-dependent…

We introduce a numerical algorithm to simulate the time evolution of a matrix product state under a long-ranged Hamiltonian. In the effectively one-dimensional representation of a system by matrix product states, long-ranged interactions…

强关联电子 · 物理学 2015-07-03 Michael P. Zaletel , Roger S. K. Mong , Christoph Karrasch , Joel E. Moore , Frank Pollmann

In nonperturbative regimes, the superfluid instability in the two-dimensional Hubbard model can be described by an emergent BCS theory with small effective pairing constants. We compute the effective couplings using a controlled bold-line…

强关联电子 · 物理学 2021-07-28 Fedor Šimkovic , Youjin Deng , Evgeny Kozik

Matrix product states (MPS) have proven to be a very successful tool to study lattice systems with local degrees of freedom such as spins or bosons. Topologically ordered systems can support anyonic particles which are labeled by conserved…

强关联电子 · 物理学 2014-04-03 Sukhwinder Singh , Robert N. C. Pfeifer , Guifre Vidal , Gavin K. Brennen

We perform a renormalized mean-field study of the two-dimensional repulsive Hubbard model, focusing on the intricate interplay and possible coexistence of magnetic, charge, and superconducting orders. We improve on conventional mean-field…

强关联电子 · 物理学 2026-02-24 Robin Scholle , Pietro M. Bonetti , Walter Metzner , Demetrio Vilardi

The development of numerically efficient computational methods has facilitated in depth studies of various correlated phases of matter including critical and topological phases. A quantum Monte-Carlo study of an extended Bose-Hubbard ladder…

We introduce a new class of exchange-correlation potentials for a static and time-dependent Density Functional Theory of strongly correlated systems in 3D. The potentials are obtained via Dynamical Mean Field Theory and, for strong enough…

强关联电子 · 物理学 2015-05-18 Daniel Karlsson , Antonio Privitera , Claudio Verdozzi

Single- and multi-band Hubbard models have been found to describe many of the complex phenomena that are observed in the cuprate and iron-based high-temperature superconductors. Simulations of these models therefore provide an ideal…

超导电性 · 物理学 2012-08-07 Thomas A. Maier