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The Hubbard model is used to study an electronic system at half filling. Starting from a functional integral representation the spin-up Grassmann field is integrated out. It is shown that the resulting spinless fermion theory has an…

Strongly Correlated Electrons · Physics 2007-05-23 Klaus Ziegler

A previously introduced real space renormalization-group treatment of the random transverse-field Ising spin chain is extended to provide detailed information on the distribution of the energy gap and the end-to-end correlation function for…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , A. P. Young

Deconfined quantum critical points are intriguing transition points not predicted by the Landau-Ginzburg-Wilson symmetry-breaking paradigm which are usually identified by the appearance of a continuous phase transition between locally…

Strongly Correlated Electrons · Physics 2026-05-08 Niccolò Baldelli , Arianna Montorsi , Sergi Julià-Farré , Maciej Lewenstein , Matteo Rizzi , Luca Barbiero

The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution…

Mathematical Physics · Physics 2018-03-02 O. F. Dayi , E. Yunt

We study the XX model for quantum spins on the star graph with three legs (i.e., on a Y-junction). By performing a Jordan-Wigner transformation supplemented by the introduction of an auxiliary space we find a Kondo Hamiltonian of fermions,…

Mathematical Physics · Physics 2013-03-26 Nicolas Crampe , Andrea Trombettoni

Using tools from representation theory, we derive expressions for the coincidence rate of partially-distinguishable particles in an interferometry experiment. Our expressions are valid for either bosons or fermions, and for any number of…

Quantum Physics · Physics 2022-05-04 Dylan Spivak , Murphy Yuezhen Niu , Barry C. Sanders , Hubert de Guise

We investigate an interface in the transverse field quantum Ising chain connecting an ordered ferromagnetic phase and a disordered paramagnetic phase that are Kramers-Wannier duals of each other. Unlike prior studies focused on…

Strongly Correlated Electrons · Physics 2026-02-19 Juliane Graf , Federica Maria Surace , Marcus Berg , Sergej Moroz

We consider the exchange statistics of vortices, each of which traps an odd number ($N$) of Majorana fermions. We assume that the fermions in a vortex transform in the vector representation of the SO(N) group. Exchange of two vortices turns…

Superconductivity · Physics 2012-07-13 Yuji Hirono , Shigehiro Yasui , Kazunori Itakura , Muneto Nitta

We provide a theoretical set up for studying the dynamics in quantum spin chain models with inhomogeneous two-body interaction. We frame in our formalism models that can be mapped into a fermion system with a quadratic Hamiltonian. Local…

Quantum Physics · Physics 2015-05-20 Giuseppe Genovese

We provide a linear analysis on normal modes of the spin Boltzmann equation proposed in \cite{Weickgenannt:2021cuo}, where the non-diagonal or polarized part of the transition rate is neglected to ensure the Hermitian property of linearized…

High Energy Physics - Phenomenology · Physics 2022-08-17 Jin Hu

In this paper we develop a new approach to the investigation of the bi-partite entanglement entropy in integrable quantum spin chains. Our method employs the well-known replica trick, thus taking a replica version of the spin chain model as…

High Energy Physics - Theory · Physics 2011-02-18 Olalla A. Castro-Alvaredo , Benjamin Doyon

Spin excitations from a partially populated composite fermion level are studied above and below $\nu=1/3$. In the range $2/7<\nu<2/5$ the experiments uncover significant departures from the non-interacting composite fermion picture that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Gallais , T. H. Kirschenmann , I. Dujovne , C. F. Hirjibehedin , A. Pinczuk , B. S. Dennis , L. N. Pfeiffer , K. W. West

An exactly soluble model describing a spin S=1 antiferromagnetic chain doped with mobile S=1/2 carriers is constructed. In its continuum limit the undoped state is described by three gapless Majorana fermions composing the SU(2) triplet.…

Strongly Correlated Electrons · Physics 2009-10-31 Holger Frahm , Markus P. Pfannmüller , A. M. Tsvelik

We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a coupled Ising-XY model, by means of Monte Carlo…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

Partial compositeness is a mechanism for the generation of fermion masses which replaces a direct Higgs coupling to the fermions by a linear mixing with heavy composite partners. We present the first calculation of the relevant matrix…

High Energy Physics - Phenomenology · Physics 2019-05-29 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

By merging the Feynman-Vernon's approach with the out-of-equilibrium Keldysh-Schwinger formalism, we construct the reduced generating functional through which all the time-dependent correlation functions of an open fermionic system can be…

Quantum Physics · Physics 2024-07-09 A. I. Karanikas , G. E. Pavlou

The quest to identify and observe Majorana fermions in physics and condensed-matter systems remains an important challenge. Here, we introduce a qubit (spin-$1/2$) from the occurrence of two delocalized zero-energy Majorana fermions in a…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Ephraim Bernhardt , Brian Chung Hang Cheung , Karyn Le Hur

Electron transport in a finite one dimensional quantum spin chain (with ferromagnetic exchange) is studied within an $s-d$ exchange Hamiltonian. Spin transfer coefficients strongly depend on the sign of the $s-d$ exchange constant. For a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Avishai , Y. Tokura

We consider the absorption spectrum of a Fermi gas mixed with a minority species when majority fermions are transferred to another internal state by an external probe. In the limit when the minority species is much more massive than the…

Quantum Gases · Physics 2010-04-13 G. M. Bruun , C. J. Pethick , Zhenhua Yu

The finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with toroidal boundary conditions and an even number of sites provide a projection mechanism yielding the spectra of models with a central charge c<1 including the unitary…

High Energy Physics - Theory · Physics 2015-06-26 Uwe Grimm , Gunter M. Schuetz