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We study quantum phases and phase transitions in a one-dimensional interacting fermion system with a Lieb-Schultz-Mattis (LSM) type anomaly. Specifically, the inversion symmetry enforces any symmetry-preserving gapped ground state of the…

Strongly Correlated Electrons · Physics 2022-03-14 Wayne Zheng , D. N. Sheng , Yuan-Ming Lu

We investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest neighbour range. In particular, we investigate the appearance of regions with dominant…

Quantum Gases · Physics 2021-02-24 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

One-dimensional (1D) systems and models provide a versatile platform for emergent phenomena induced by strong electron correlation. In this work, we extend the newly developed real space neural network quantum Monte Carlo methods to study…

Strongly Correlated Electrons · Physics 2024-12-02 Haoxiang Chen , Weiluo Ren , Xiang Li , Ji Chen

We study the one-dimensional spin-1/2 Heisenberg model with antiferromagnetic nearest-neighbor J_1 and next-nearest-neighbor J_2 exchange couplings in magnetic field h. With varying dimensionless parameters J_2/J_1 and h/J_1, the ground…

Statistical Mechanics · Physics 2015-03-14 T. Hikihara , T. Momoi , A. Furusaki , H. Kawamura

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro

We investigate the $T=0$ phase diagram of a variant of the one-dimensional extended Hubbard model where particles interact via a finite-range soft-shoulder potential. Using Density Matrix Renormalization Group (DMRG) simulations, we…

Strongly Correlated Electrons · Physics 2020-07-10 Thomas Botzung , Guido Pupillo , Pascal Simon , Roberta Citro , Elisa Ercolessi

We discuss a {\em family} of planar (two-dimensional) systems with the following phase strucure: a Fermi liquid, which goes by a second order transition (with non classical exponent even in mean-field) to an intermediate, inhomogeneous…

Condensed Matter · Physics 2016-08-31 Ganpathy Murthy , R. Shankar

Haldane hypothesis about the universality of Luttinger liquid (LL) behavior in conducting one-dimensional (1D) fermion systems is checked numerically for spinless fermion model with next-nearest-neighbor interactions. It is shown that for…

Strongly Correlated Electrons · Physics 2009-10-31 A. K. Zhuravlev , M. I. Katsnelson

Based on density matrix renormalization group method, we investigate the spin-orbit coupled Fermi gas with attractive interactions in one-dimensional optical lattice and present a complete phase diagram for a quarter-filling system with…

Strongly Correlated Electrons · Physics 2015-11-06 Haiping Hu , Chen Cheng , Yucheng Wang , Hong-Gang Luo , Shu Chen

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

Condensed Matter · Physics 2009-10-28 Johannes Voit

It is well-known that, generically, the one-dimensional interacting fermions cannot be described in terms of the Fermi liquid. Instead, they present different phenomenology, that of the Tomonaga-Luttinger liquid: the Landau quasiparticles…

Strongly Correlated Electrons · Physics 2014-05-20 A. V. Rozhkov

It has been shown recently that local four-fermion interactions on the edges of two-dimensional time-reversal-invariant topological insulators give rise to a new non-Fermi-liquid phase, called helical Luttinger liquid (HLL). In this work,…

Mesoscale and Nanoscale Physics · Physics 2017-10-27 N. Menezes , Giandomenico Palumbo , C. Morais Smith

We compute the phase diagram of a one-dimensional model of spinless fermions with pair-hopping and nearest-neighbor interaction, first introduced by Ruhman and Altman, using the density-matrix renormalization group combined with various…

Strongly Correlated Electrons · Physics 2021-09-23 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

Tomonaga-Luttinger liquid (TLL) behavior in one-dimensional systems has been predicted and shown to occur at semiconductor-to-metal transitions within two-dimensional materials. Reports of one-dimensional defects hosting a Fermi liquid or a…

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

Quantum Gases · Physics 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen

We investigate the thermodynamics of the one-dimensional t-J model using transfer matrix renormalization group (TMRG) algorithms and present results for quantities like particle number, specific heat, spin susceptibility and…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper

We show that a simple one-dimensional model of spinless fermions with pair hopping displays a phase in which a Luttinger liquid of paired fermions coexists with a Luttinger liquid of unpaired fermions. Our results are based on extensive…

Strongly Correlated Electrons · Physics 2021-05-26 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

We predict the existence of a pair-liquid phase in lattice fermion systems with finite-range attractive interactions. This exotic state competes on one side with a normal Fermi liquid of unpaired fermions and on the other side with a…

Superconductivity · Physics 2023-03-20 Pavel Kornilovitch

We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show…

Quantum Gases · Physics 2025-08-18 Rajashri Parida , Diptiman Sen , Tapan Mishra

Employing matrix product states as an ansatz, we study the non-thermal phase structure of the (1+1)-dimensional massive Thirring model in the sector of vanishing total fermion number with staggered regularization. In this paper, details of…

High Energy Physics - Lattice · Physics 2019-11-27 Mari Carmen Bañuls , Krzysztof Cichy , Ying-Jer Kao , C. -J. David Lin , Yu-Ping Lin , David T. -L. Tan