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We unveil a topological phase of interacting fermions on a two-leg ladder of unequal parity orbitals, derived from the experimentally realized double-well lattices by dimension reduction. $Z_2$ topological invariant originates simply from…

Quantum Gases · Physics 2013-03-04 Xiaopeng Li , Erhai Zhao , W. Vincent Liu

The phase transitions and critical properties of two types of inhomogeneous systems are reviewed. In one case, the local critical behaviour results from the particular shape of the system. Here scale-invariant forms like wedges or cones are…

Statistical Mechanics · Physics 2009-10-22 F. Iglói , I. Peschel , L. Turban

A boson two--leg ladder in the presence of a synthetic magnetic flux is investigated by means of bosonization techniques and Density Matrix Renormalization Group (DMRG). We follow the quantum phase transition from the commensurate Meissner…

Quantum Gases · Physics 2016-05-31 Edmond Orignac , Roberta Citro , Mario Di Dio , Stefania De Palo , Maria-Luisa Chiofalo

We study transport properties of the half-filled two-dimensional (2D) Hubbard model with spatially varying interactions, where a pattern of interacting and non-interacting sites is formed. We use Determinantal Quantum Monte Carlo method to…

Strongly Correlated Electrons · Physics 2014-08-15 Rubem Mondaini , Thereza Paiva

We investigate the phase transitions in two-leg ladders systems in the incommensurate phase, for which the gap is destroyed by a magnetic field ($h_{c1}< h$) and the ladder is not yet totally saturated ($h < h_{c2}$). We compute…

Strongly Correlated Electrons · Physics 2009-10-31 T. Giamarchi , A. M. Tsvelik

We study analytically one-dimensional interacting spinless fermions in a Fibonacci potential. We show that the effects of the quasiperiodic modulation are intermediate between those of a commensurate potential and a disordered one. The…

Condensed Matter · Physics 2007-05-23 J. Vidal , D. Mouhanna , T. Giamarchi

Existing proximity effects stem from systems with a local order parameter, such as a local magnetic moment or a local superconducting pairing amplitude. Here, we demonstrate that despite lacking a local order parameter, topological phases…

Strongly Correlated Electrons · Physics 2016-03-01 Timothy H. Hsieh , Hiroaki Ishizuka , Leon Balents , Taylor L. Hughes

We report a ground-state solution for the two-dimensional fermionic Hubbard model, which is obtained via a numerical variational method. The two ingredients in this approach are tensor network states and the time-evolving block decimation.…

Strongly Correlated Electrons · Physics 2014-04-29 Myung-Hoon Chung

We study the phase diagram and the commensurate-incommensurate transitions in a phase field model of a two-dimensional crystal lattice in the presence of an external pinning potential. The model allows for both elastic and plastic…

Other Condensed Matter · Physics 2007-05-23 C. V. Achim , M. Karttunen , K. R. Elder , E. Granato , T. Ala-Nissila , S. C. Ying

We show that a one-dimensional ordered fermionic lattice system with power-law-decaying hopping, when connected to two baths at its two ends with different chemical potentials at zero temperature, features two phases showing sub-diffusive…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Archak Purkayastha , Madhumita Saha , Bijay Kumar Agarwalla

An effective low energy field theory is developed for a system of two chains. The main novelty of the approach is that it allows to treat generic intrachain repulsive interactions of arbitrary strength. The chains are coupled by a direct…

Strongly Correlated Electrons · Physics 2015-05-18 A. M. Tsvelik

We study the motion of holes in a mixed-dimensional setup of an antiferromagnetic ladder, featuring nearest neighbor hopping $t$ along the ladders and Ising-type spin interactions along, $J_\parallel$, and across, $J_\perp$, the ladder. We…

Quantum Gases · Physics 2023-08-29 K. Knakkergaard Nielsen

The system of interacting spinless fermions hopping on a two-leg ladder in the presence of an external magnetic field is shown to possess a long range order: the bond density wave or the staggered flux phase. In both cases the elementary…

Strongly Correlated Electrons · Physics 2012-07-31 B. N. Narozhny , S. T. Carr , A. A. Nersesyan

In this paper, we study a one-dimensional tight-binding model with tunable incommensurate potentials. Through the analysis of the inverse participation rate, we uncover that the wave functions corresponding to the energies of the system…

Disordered Systems and Neural Networks · Physics 2022-02-02 Tong Liu , Yufei Zhu , Shujie Cheng , Feng Li , Hao Guo , Yong Pu

We investigate the transport properties of massive Dirac fermions subjected to uncorrelated scalar potential disorder, and mass disorder. Using a finite difference method, the conductance is calculated for a wide variety of combinations of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Arman Duha , Mario Borunda

We derive a Hamiltonian for a two-leg ladder which includes an arbitrary number of charge and spin interactions. To illustrate this Hamiltonian we consider two examples and use a renormalization group technique to evaluate the ground state…

Strongly Correlated Electrons · Physics 2009-11-13 J. E. Bunder , Hsiu-Hau Lin

A tight-binding model of a multi-leg ladder network with a continuous quasiperiodic modulation in both the site potential and the inter-arm hopping integral is considered. The model mimics optical lattices where ultra-cold fermionic or…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Santanu K. Maiti , Shreekantha Sil , Arunava Chakrabarti

We study the localization problem of one-dimensional interacting spinless fermions in an incommensurate optical lattice, which changes from an extended phase to a nonergoic many-body localized phase by increasing the strength of the…

Disordered Systems and Neural Networks · Physics 2018-01-03 Yucheng Wang , Haiping Hu , Shu Chen

Quantum transport in a non-equilibrium setting plays a fundamental role in understanding the properties of systems ranging from quantum devices to biological systems. Dephasing -- a key aspect of out-of-equilibrium systems -- arises from…

Quantum Physics · Physics 2024-04-15 Subhajit Sarkar , Bijay Kumar Agarwalla , Devendra Singh Bhakuni

We identify ground states of one-dimensional fermionic systems subject to competing repulsive interactions of finite range, and provide phenomenological and fundamental signatures of these phases and their transitions. Commensurable…

Strongly Correlated Electrons · Physics 2018-08-23 Marcin Szyniszewski , Henning Schomerus