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We develop a nonperturbative zero-temperature theory for the dynamic response functions of interacting one-dimensional spin-1/2 fermions. In contrast to the conventional Luttinger liquid theory, we take into account the nonlinearity of the…

Strongly Correlated Electrons · Physics 2010-12-16 Thomas L. Schmidt , Adilet Imambekov , Leonid I. Glazman

A three-dimensional strong-topological-insulator or -semimetal hosts topological surface states which are often said to be gapless so long as time-reversal symmetry is preserved. This narrative can be mistaken when surface state…

Strongly Correlated Electrons · Physics 2015-06-29 A. P. Weber , Q. D. Gibson , Huiwen Ji , A. N. Caruso , A. V. Fedorov , R. J. Cava , T. Valla

We investigate the generalized Hubbard model of $(2n+1)$ Fermion species interacting via a symmetric contact attraction potential. We prove that the ground state of such system is a gapless superfluid, where a full Fermi surface coexists…

Superconductivity · Physics 2011-04-11 Betzalel Bazak , Nir Barnea

Staggered magnetic fluxes (SMF) play a crucial role in achieving Chern insulators (CIs), by which a series of CI models have been established on various lattices. In addition, SMF induced higher-order topological insulator (HOTI) in a…

Strongly Correlated Electrons · Physics 2025-03-07 Li-Xiang Chen , Dong-Hao Guan , Lu Qi , Xiuyun Zhang , Ying Han , Ai-Lei He

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

The structure of the quark and lepton masses and mixing angles provides one of the few windows we have on the underlying physics generating the \sm. In an attempt to identify the underlying symmetry group we look for the simplest gauge…

High Energy Physics - Phenomenology · Physics 2011-07-19 Luis E. Ibanez , G. G. Ross

We calculate the fermion Green function and particle-hole susceptibilities for a degenerate two-dimensional fermion system with a singular gauge interaction. We show that this is a strong coupling problem, with no small parameter other than…

Condensed Matter · Physics 2009-10-22 B. L. Altshuler , L. B. Ioffe , A. J. Millis

The performance of advanced magnetic tunnel junctions build of ferromagnetic (FM) electrodes and MgO as insulating barrier depends decisively on the properties of the FM/insulator interface. Here, we investigate interface formation between…

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

We use the density matrix renormalization group method(DMRG) and the infinite time evolved block decimation method(iTEBD) to investigate the ground states of the spin-orbit coupled Fermi gas in a one dimensional optical lattice with a…

Quantum Gases · Physics 2014-11-25 Y. H. Chan

We investigate the spin-pumping-induced electric current on the surface of a three-dimensional topological insulator hybridized with a ferromagnet, namely, ferromagnetic topological insulator. In order to do this, we establish the…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Yusuke Hama , Kentaro Nomura

We apply the rotation-invariant Green's function method to study the finite-temperature properties of a $S{=}1/2$ sawtooth-chain (also called $\Delta$-chain) antiferromagnetic Heisenberg model at the fully frustrated point when the exchange…

Strongly Correlated Electrons · Physics 2023-05-09 Taras Hutak , Taras Krokhmalskii , Oleg Derzhko , Johannes Richter

In periodic systems of interacting electrons, Fermi and Luttinger surfaces refer to the locations within the Brillouin zone of poles and zeros, respectively, of the single-particle Green's function at zero energy and temperature. Such…

Strongly Correlated Electrons · Physics 2021-10-04 Michele Fabrizio

The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's…

High Energy Physics - Theory · Physics 2009-10-28 James V. Steele , Ajay Subramanian , Ismail Zahed

Using the 2D Jordan-Wigner transformation we reformulate the square-lattice s=1/2 XY (XZ) model in terms of noninteracting spinless fermions and examine the ground-state and thermodynamic properties of this spin system. We consider the…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko , Taras Verkholyak , Reimar Schmidt , Johannes Richter

Skyrmions in noncentrosymmetric materials are believed to occur due to the Dzyaloshinskii-Moriya interaction. By contrast, the skyrmion formation mechanism in centrosymmetric materials remains elusive. Here, we reveal the intrinsic…

We present a theory unifying the topological responses and anomalies of various gapless fermion systems exhibiting Fermi surfaces, including those with Berry phases, and nodal structures, which applies beyond non-interacting limit. As our…

Strongly Correlated Electrons · Physics 2025-03-07 Taylor L. Hughes , Yuxuan Wang

We investigate the zero-temperature and the finite-temperature properties of the two-dimensional antiferromagnetic quantum spin system composed of the s=1/2 and s=1 spins. The spin excitation spectrum as well as the thermodynamic quantities…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Takushima , A. Koga , N. Kawakami

This work constructs a well-defined and operational form factor expansion in a model having a massless spectrum of excitations. More precisely, the dynamic two-point functions in the massless regime of the XXZ spin-1/2 chain are expressed…

Mathematical Physics · Physics 2019-07-15 K. K. Kozlowski

We study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by delta function potentials. We use a method based on the…

Statistical Mechanics · Physics 2021-05-03 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr