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Related papers: Note on linear response for interacting Hall insul…

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Starting from the Kubo formula, we expand the Hall conductivity using a cumulant approach which converges quickly at high temperatures (k_BT > energy differences of initial and final scattering states) and can be extended to low…

Other Condensed Matter · Physics 2013-10-18 Louis-François Arsenault , B. Movaghar

Linear response theory for open (infinite) systems leads to an expression for the current response which contains surface terms in addition to the usual bulk Kubo term. We show that this surface term vanishes identically if the correct…

Condensed Matter · Physics 2007-05-23 Jens U. Noeckel , A. Douglas Stone , Harold U. Baranger

We study the phase diagram of a model quantum spin Hall system as a function of band inversion and band-coupling strength, demonstrating that when band hybridization is weak, an interaction-induced nematic insulator state emerges over a…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Fei Xue , Allan H. MacDonald

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

We use linear response theory to derive both the non-dissipative and dissipative effects of spin polarization for massive and massless interacting spin 1/2 particles in a relativistic fluid. We list and classify all the possible…

Nuclear Theory · Physics 2025-07-29 Matteo Buzzegoli

We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is driven by multiple scalar fields with an arbitrary interaction potential. A local rotation in field space is…

Astrophysics · Physics 2009-10-31 Christopher Gordon , David Wands , Bruce A. Bassett , Roy Maartens

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

In space-adiabatic approaches one can approximate Hamiltonians that are modulated slowly in space by phase-space functions that depend on position and momentum. In this paper, we establish a rigorous relation between this approach and the…

Mathematical Physics · Physics 2024-11-01 Danilo Polo Ojito , Emil Prodan , Tom Stoiber

A quantum kinetic theory of the linear response to an electric field is provided from a controlled expansion of the Keldysh theory at leading order, for a multiband electron system with weak scalar disorder. The response is uniquely…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Thierry Valet , Roberto Raimondi

Exploiting novel aspects of the quantum geometry of charged particles in a magnetic field via gauge-invariant variables, we provide tangible connections between the response of quantum Hall fluids to non-uniform electric fields and the…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 YingKang Chen , Guodong Jiang , Rudro R. Biswas

We initiate the study of multi-field inflation using holography. Bulk light scalar fields correspond to nearly marginal operators in the boundary theory and the dual quantum field theory is a deformation of a CFT by such operators. We…

High Energy Physics - Theory · Physics 2015-06-23 Jaume Garriga , Kostas Skenderis , Yuko Urakawa

The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter $\epsilon$. Under suitable assumptions the solution of the…

Mathematical Physics · Physics 2018-04-18 Sven Bachmann , Wojciech De Roeck , Martin Fraas

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

We investigate the influence of the hexagonal warping on the transport properties of the topological insulators. We study the charge conductivity within Kubo formalism in the first Born approximation using low energy expansion of the…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 R. S. Akzyanov , A. L. Rakhmanov

Comparison of theobservedanisotropy with that predicted iadiabaticDM models suggest that much of thserved signal may be due to long wavelenh gravitational waves. In inflationary models this requires the generation of tensor fluctuations to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lawrence M. Krauss

We investigate the Hall response of hardcore bosonic atoms on a triangular ladder in a magnetic field. To access the dynamical properties of this many-body quantum system, we employ matrix product states numerical methods. We show that the…

Quantum Gases · Physics 2025-02-26 Catalin-Mihai Halati , Thierry Giamarchi

We study how strongly correlated electrons on a dissipative lattice evolve from equilibrium when driven by a constant electric field, focusing on the extent of the linear regime and hysteretic non-linear effects at higher fields. We access…

Strongly Correlated Electrons · Physics 2015-06-18 Jiajun Li , Camille Aron , Gabriel Kotliar , Jong E Han

Within a Lagrangian formalism we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent…

Strongly Correlated Electrons · Physics 2015-06-15 J. Bünemann , M. Capone , J. Lorenzana , G. Seibold

The topological properties of adiabatic gauge fields for multi-level (three-level in particular) quantum systems are studied in detail. Similar to the result that the adiabatic gauge field for SU(2) systems (e.g. two-level quantum system or…

Quantum Physics · Physics 2009-11-13 Zheng-Xin Liu , Xiao-Ting Zhou , Xin Liu , Xiong-Jun Liu , Jing-Ling Chen

We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linear response close to a non-degenerate ground state, and prove…

Analysis of PDEs · Mathematics 2024-09-19 Mi-Song Dupuy , Eloïse Letournel , Antoine Levitt