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Perturbation theory with respect to the kinetic energy of the heavy component of a two-component quantum system is introduced. An effective Hamiltonian that is accurate to second order in the inverse heavy mass is derived. It contains a new…

Quantum Physics · Physics 2024-06-21 Ryan Requist

We present the saddle-point approximation for the effective Hamiltonian of the quantum kink in two-dimensional linear sigma models to all orders in the time-derivative expansion. We show how the effective Hamiltonian can be used to obtain…

High Energy Physics - Theory · Physics 2020-12-30 Ilarion V. Melnikov , Constantinos Papageorgakis , Andrew B. Royston

The five-band Hubbard model for a $d$ band with one electron per site is a model which has very interesting properties when the relevant ions are located at sites with high (e. g. cubic) symmetry. In that case, if the crystal field…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , T. Yildirim , A. Aharony , O. Entin-Wohlman , I. Ya. Korenblit

Quantum-disordered models provide a versatile platform to explore the emergence of quantum excitations in many-body systems. The engineering of spin models at the atomic scale with scanning tunneling microscopy and the local imaging of…

Mesoscale and Nanoscale Physics · Physics 2023-08-23 Netta Karjalainen , Zina Lippo , Guangze Chen , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

Hamiltonian truncation is a non-perturbative numerical method for calculating observables of a quantum field theory. The starting point for this method is to truncate the interacting Hamiltonian to a finite-dimensional space of states…

High Energy Physics - Theory · Physics 2022-08-10 Timothy Cohen , Kara Farnsworth , Rachel Houtz , Markus A. Luty

We identify two distinct low-energy sectors in the classical isotropic antiferromagnetic Heisenberg spin-S chain. In the continuum limit, we show that two types of rotation generators arise for the field in each sector. Using these, the…

Condensed Matter · Physics 2009-11-07 Radha Balakrishnan , Rossen Dandoloff

We derive effective Hubbard-type Hamiltonians of $\kappa$-(ET)$_2X$, using an {\em ab initio} downfolding technique, for the first time for organic conductors. They contain dispersions of the highest occupied Wannier-type molecular orbitals…

Strongly Correlated Electrons · Physics 2010-10-20 Kazuma Nakamura , Yoshihide Yoshimoto , Taichi Kosugi , Ryotaro Arita , Masatoshi Imada

Recent work has demonstrated that quantum Fisher information (QFI), a witness of multipartite entanglement, and magnetic Van Hove correlations $G(r,t)$, a probe of local real-space real-time spin dynamics, can be successfully extracted from…

Strongly Correlated Electrons · Physics 2022-08-09 Pontus Laurell , Allen Scheie , D. Alan Tennant , Satoshi Okamoto , Gonzalo Alvarez , Elbio Dagotto

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

We discuss how to construct a tight binding model Hamiltonan for the simplest possible solid, composed of hydrogen-like atoms. A single orbital per atom is not sufficient because the on-site electron-electron repulsion mixes in higher…

Strongly Correlated Electrons · Physics 2014-09-09 J. E. Hirsch

The spin-Peierls instability in spin 1/2 XY chain coupled to dispersionless phonons of frequency $\omega$ has been studied in the nonadiabatic limit. We have chosen the Lang-Firsov variational wave function for the phonon subsystem to…

Condensed Matter · Physics 2009-10-31 Shreekantha Sil

Using recent experimental information for 132Sn region, an empirical Hamiltonian is obtained by some modifications of a Hamiltonian (CW5082) originally derived from the 208Pb region. Shell model calculations with the new Hamiltonian shows…

Nuclear Theory · Physics 2007-05-23 Sukhendusekhar Sarkar , M. Saha Sarkar

A coherent state representation for the electrons of ordered antiferromagnets is used to derive effective Hamiltonians for the dynamics of holes in such systems. By an appropriate choice of these states, the constraint of forbidden double…

Strongly Correlated Electrons · Physics 2009-10-31 W. Apel , H. -U. Everts , U. Koerner

We initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier results for medium-range spin chains to the constrained Hilbert…

Strongly Correlated Electrons · Physics 2025-04-30 Luke Corcoran , Marius de Leeuw , Balázs Pozsgay

The recently discovered FeAs-based superconductors show intriguing behavior and unusual dynamics of electrons and holes which occupy the Fe $d$-orbitals and As $4s$ and $4p$ orbitals. Starting from the atomic limit, we carry out a strong…

Strongly Correlated Electrons · Physics 2008-11-20 Efstratios Manousakis , Jun Ren , Sheng Meng , Efthimios Kaxiras

We study a model of strongly correlated spinless fermions on a kagome lattice at 1/3 filling, with interactions described by an extended Hubbard Hamiltonian. An effective Hamiltonian in the desired strong correlation regime is derived, from…

Strongly Correlated Electrons · Physics 2015-05-18 Aroon O'Brien , Frank Pollmann , Peter Fulde

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

Strongly Correlated Electrons · Physics 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

Majorana fermion representations of the algebra associated with spin, charge, and flavor currents have been used to transform the two-channel Kondo Hamiltonian. Using a path integral formulation, we derive a reduced effective action with…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Ming Zhang , Lu Yu