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Flat band systems have recently attracted significant attention due to their instability under small perturbations, which can lead to the stabilization of many exotic quantum phases. We study a trimer ladder which shows a middle flat band…

Strongly Correlated Electrons · Physics 2025-03-26 Sourabh Saha , Hosho Katsura , Manoranjan Kumar

We determine the phase diagram of the half-filled two-leg ladder both at weak and strong coupling, taking into account the Cu d_{x^2-y^2} and the O p_x and p_y orbitals. At weak coupling, renormalization group flows are interpreted with the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Lee , J. B. Marston , J. O. Fjaerestad

We study the motion of an impurity in a two-leg ladder interacting with two fermionic baths along each leg, a simple model bridging cold atom quantum simulators with an idealised description of the basic transport processes in a layered…

Quantum Gases · Physics 2021-04-07 Martino Stefanini , Massimo Capone , Alessandro Silva

We present an analytic theory unraveling the microscopic mechanism of instabilities within interacting $D$-dimensional Fermi liquid. Our model consists of a $D$-dimensional electron gas subject to an instantaneous electron-electron…

Strongly Correlated Electrons · Physics 2025-01-03 Dmitry Miserev , Herbert Schoeller , Jelena Klinovaja , Daniel Loss

We construct a two-leg ladder dimer model by using two orbitals instead of one in Su-Schrieffer-Heeger (SSH) dimer chain and find out a chiral symmetry in it. In this model, the otherwise-hidden additional chiral symmetry allows us to…

Strongly Correlated Electrons · Physics 2015-06-23 Jin-Yu Zou , Bang-Gui Liu

Topological behavior has been observed in quantum systems including ultracold atoms. However, background harmonic traps for cold-atoms hinder direct detection of topological edge states arising at the boundary because the distortion fuses…

Quantum Gases · Physics 2017-08-17 Mekena Metcalf , Chen-Yen Lai , Kevin Wright , Chih-Chun Chien

There can exist topological obstructions to continuously deforming a gapped Hamiltonian for free fermions into a trivial form without closing the gap. These topological obstructions are closely related to obstructions to the existence of…

Quantum Physics · Physics 2009-11-13 M. B. Hastings

We develop a theory for interacting fermions in the presence of spin-orbit coupling and Zeeman fields, and show that many new superfluids phases, which are topological in nature, emerge. Depending on values of spin-orbit coupling, Zeeman…

Quantum Gases · Physics 2011-10-31 Kangjun Seo , Li Han , C. A. R. Sá de Melo

The extended model of two-leg Ising spin ladder with trimer rungs and next nearest neighbor interaction (NNN) in an external magnetic field is studied using the transfer matrix and linear renormalization group methods. In the standard…

Statistical Mechanics · Physics 2022-02-03 Jozef Sznajd

We consider the stability of fragile topological bands protected by space-time inversion symmetry in the presence of strong electron-electron interactions. At the single-particle level, the topological nature of the bands prevents the…

Strongly Correlated Electrons · Physics 2022-02-21 Ari M. Turner , Erez Berg , Ady Stern

We uncover a disorder-driven instability in the diffusive Fermi liquid phase of a class of many-fermion systems, indicative of a metal-insulator transition of first order type, which arises solely from the competition between quenched…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Andreas W. W. Ludwig

We study a one-dimensional ladder of two coupled XXZ spin chains and identify several distinct gapless symmetry-enriched critical phases. These have the same unbroken symmetries and long-wavelength description, but cannot be connected…

Strongly Correlated Electrons · Physics 2024-04-30 Suman Mondal , Adhip Agarwala , Tapan Mishra , Abhishodh Prakash

We investigate the phase diagram of the cross-coupled Heisenberg spin ladder with antiferromagnetic couplings. For this model there have been conflicting results for the existence of the columnar dimer phase, which was predicted on the…

Strongly Correlated Electrons · Physics 2016-05-16 Xi-Hao Chen , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

We investigate the robustness of {\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate…

Materials Science · Physics 2025-05-20 Felipe Crasto de Lima , Roberto H. Miwa , Caio Lewenkopf , Adalberto Fazzio

We investigate topological properties of a chiral honeycomb lattice model with next-nearest-neighbor hoppings characterized by the reflection symmetry breaking. Topological nontriviality is detected by analyzing effective Dirac Hamiltonian,…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Genki Yonezawa , Jun-ichi Fukuda , Toshikaze Kariyado

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product…

Quantum Gases · Physics 2020-08-06 Andreas Haller , Pietro Massignan , Matteo Rizzi

The interplay between interparticle interactions and topological features may result in unusual phenomena. Interestingly, interactions may induce topological features in an originally trivial system, as we illustrate for the case of a…

Quantum Gases · Physics 2021-07-28 Suman Mondal , Sebastian Greschner , Luis Santos , Tapan Mishra

Topology and interactions are foundational concepts in the modern understanding of quantum matter. Their nexus yields three significant research directions: competition between distinct interactions, as in the multiple intertwined phases,…

A simple interlayer pair tunneling is solved exactly. We find that in the normal state spin-1/2 particle and hole excitations are gapped. But the state is an unusual metal, characterized by novel fermionic spin zero and charge +2e and -2e…

Condensed Matter · Physics 2007-05-23 Sanjoy K. Sarker , Philip W. Anderson

The effect of interchain hopping and interaction on Anderson localization has been investigated for two coupled chains of spinless fermions with nearest neighbor interaction. Using the renormalization group method, we find that interchain…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , Y. Suzumura , T. Giamarchi
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