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Interacting fermions on a lattice can develop strong quantum correlations, which lie at the heart of the classical intractability of many exotic phases of matter. Seminal efforts are underway in the control of artificial quantum systems,…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 T. Hensgens , T. Fujita , L. Janssen , Xiao Li , C. J. Van Diepen , C. Reichl , W. Wegscheider , S. Das Sarma , L. M. K. Vandersypen

We study a classical model of fully-packed loops on the square lattice, which interact through attractive loop segment interactions between opposite sides of plaquettes. This study is motivated by effective models of interacting quantum…

Strongly Correlated Electrons · Physics 2023-09-08 Bhupen Dabholkar , Xiaoxue Ran , Junchen Rong , Zheng Yan , G. J. Sreejith , Zi Yang Meng , Fabien Alet

We consider an electrostatically induced square lattice of quantum dots and study the role of electron-electron correlations in the resulting electronic features of the system. We utilize the Wannier functions methodology in order to…

Strongly Correlated Electrons · Physics 2022-01-11 A. Biborski , M. P. Nowak , M. Zegrodnik

Using the adaptive time-dependent density-matrix renormalization group method, we study the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden change of the interaction strength. For certain…

Other Condensed Matter · Physics 2007-06-13 S. R. Manmana , S. Wessel , R. M. Noack , A. Muramatsu

Quantum phase transitions are ubiquitous in many exotic behaviors of strongly-correlated materials. However the microscopic complexity impedes their quantitative understanding. Here, we observe thoroughly and comprehend the rich…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Z. Iftikhar , A. Anthore , A. K. Mitchell , F. D. Parmentier , U. Gennser , A. Ouerghi , A. Cavanna , C. Mora , P. Simon , F. Pierre

We study fractional boundary charges (FBCs) for two classes of strongly interacting systems. First, we study strongly interacting nanowires subjected to a periodic potential with a period that is a rational fraction of the Fermi wavelength.…

Mesoscale and Nanoscale Physics · Physics 2021-08-12 Katharina Laubscher , Clara S. Weber , Dante M. Kennes , Mikhail Pletyukhov , Herbert Schoeller , Daniel Loss , Jelena Klinovaja

This is the completion of an exploratory study of Compact lattice Quantum Electrodynamics with a weak four-fermi interaction and four species of massless fermions. In this formulation of Quantum Electrodynamics massless fermions can be…

High Energy Physics - Lattice · Physics 2009-11-11 John B. Kogut , Costas G. Strouthos

The strongly correlated spin-electron system on a diamond chain containing localized Ising spins on its nodal lattice sites and mobile electrons on its interstitial sites is exactly solved in a magnetic field using the transfer-matrix…

Strongly Correlated Electrons · Physics 2016-02-17 J. Torrico , M. Rojas , M. S. S. Pereira , J. Strecka , M. L. Lyra

A wide variety of experimental results and theoretical investigations in recent years have convincingly demonstrated that several transition metal oxides and other materials, have dominant states that are not spatially homogeneous. This…

Strongly Correlated Electrons · Physics 2009-11-11 Elbio Dagotto

Effects of randomness on interacting fermionic systems in one dimension are investigated by quantum Monte-Carlo techniques. At first, interacting spinless fermions are studied whose ground state shows charge ordering. Quantum phase…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Otsuka , Y. Morita , Y. Hatsugai

The ground state of a quantum spin chain is a natural playground for investigating correlations. Nevertheless, not all correlations are genuinely of quantum nature. Here we review the recent progress to quantify the 'quantumness' of the…

Quantum Physics · Physics 2015-03-20 Marcelo S. Sarandy , Thiago R. de Oliveira , Luigi Amico

Various charge pairings in strongly correlated electron systems are interpreted as quantum entanglement of a composite system. Particles in the intermediate phase have a tendency to form the coherent superposition state of the localized…

Strongly Correlated Electrons · Physics 2012-04-17 Byung Gyu Chae

We analyse the ground state of spinless fermions on a lattice in a weakly disordered potential, interacting via a nearest neighbour interaction, by applying the self-consistent Hartree-Fock approximation. We find that charge density…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Paul N. Walker , Yuval Gefen , Gilles Montambaux

Lattice effects on photo-excited states in interacting charge frustrated system are examined. Real time dynamics in the interacting spinless fermion model on a triangular lattice coupled to lattice vibration are analyzed by applying the…

Strongly Correlated Electrons · Physics 2015-07-08 Hiroshi Hashimoto , Hiroaki Matsueda , Hitoshi Seo , Sumio Ishihara

Bosons and fermions, in the presence of frustration or background gauge fields, can form manybody ground states that support equilibrium 'charge' or 'spin' currents. Motivated by the experimental creation of frustration or artificial gauge…

Quantum Gases · Physics 2013-05-30 Matthew Killi , Stefan Trotzky , Arun Paramekanti

We study a one-dimensional extended Hubbard model with longer-range Coulomb interactions at quarter-filling in the strong coupling limit. We find two different charge-ordered (CO) ground states as the strength of the longer range…

Strongly Correlated Electrons · Physics 2007-08-17 Siddhartha Lal , Mukul S. Laad

We address a problem of the upper critical field in a lattice described by a two-dimensional tight-binding model with the on-site pairing. We develop a finite-system-approach which enables investigation of magnetic and superconducting…

Superconductivity · Physics 2009-10-31 Marcin Mierzejewski , Maciej M. Maska

Effects of geometrical frustration in low-dimensional charge ordering systems are theoretically studied, mainly focusing on dynamical properties. We treat extended Hubbard models at quarter-filling, where the frustration arises from…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Kenji Tsutui , Masao Ogata , Jaime Merino

We study a one-dimensional extended Hubbard model with longer-range Coulomb interactions at quarter-filling in the strong coupling limit. We find two different charge-ordered ground states as the strength of the longer range interactions is…

Strongly Correlated Electrons · Physics 2016-08-31 M. S. Laad , S. Lal

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…