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Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy
Anisotropic antiferromagnets in an external magnetic field show a rich variety of different ground states meeting in transition lines and multicritical points. We study the dependence of the ground states of these systems in the three dimensional space on physical parameters such as exchange, sing...
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Інститут фізики конденсованих систем НАН України
2009
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/120549 |
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irk-123456789-1205492017-06-13T03:05:40Z Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy Dinh, T.-C. Folk, R. Anisotropic antiferromagnets in an external magnetic field show a rich variety of different ground states meeting in transition lines and multicritical points. We study the dependence of the ground states of these systems in the three dimensional space on physical parameters such as exchange, single ion and cubic anisotropy. One identi es four different ground states: the paramagnetic (PM), the antiferromagnetic (AF), the spin flop (SF) and the biconical (BC) ground state. In the case of absence of a cubic anisotropy, the transition lines separating different ground states can be calculated analytically, otherwise they have to be calculated numerically. We also considered the behavior of the staggered magnetization which characterizes the different ground states. From its behavior the order of the transition from one state to the other is determined. But also the order of the transition changes along the transition lines when including the cubic anisotropy, especially at the reeentrant region where a transition from SF to BC and back to SF by increasing the external field H occurs. Multicritical points are found which are assumed to be tricritical or critical endpoints. The results obtained may be relevant for other systems since the antiferromagnetic model can be mapped to a lattice gas model where the biconical ground state is interpreted as supersolid phase. Recent renormalization group calculations show that such a phase would indicate the existence of a tetracritical point. Анiзотропнi антиферомегнетики у зовнiшнiх магнiтних полях проявляють велике рiзноманiття основних станiв, що межують на лiнiях фазових переходiв i в мультикритичних точках. Тут дослiджується залежнiсть основних станiв у таких тривимiрних системах вiд параметрiв обмiнної взаємодiї, одноiонної та кубiчної анiзотропiй. Iндентифiковано чотири рiзнi основнi стани: парамагнiтний (ПМ), антиферомагнiтний (АФ), з нахиленими спiнами (НС) та двоконусний (ДК). У випадку вiдсутностi кубiчної анiзотропiї лiнiї фазових переходiв, що роздiляють рiзнi основнi стани, можуть бути розрахованi аналiтично; в iншому випадку їх можна розрахувати лише чисельно. Розглянуто також поведiнку ступiнчастої намагнiченостi, типову для рiзних основних станiв. Аналiзуючи її, визначено рiд фазового переходу з одного стану до iншого. Проте рiд фазового переходу змiнюється також вздовж лiнiї переходу при включеннi кубiчної анiзотропiї, особливо в подвiйнiй областi , де при збiльшеннi зовнiшнього поля H вiдбувається спершу перехiд вiд НС до ДК, а далi - знову до НС. Знайденомультикритичнi точки, якi слiд думати будуть трикритичними або ж критичними кiнцевими точками. Отриманi результати можуть бути важливими i для iнших систем, оскiльки антиферомагнiтну модель можна вiдобразити у модель граткового газу, де двоконусний основний стан iнтерпретується як надплинний твердотiльний. Нещодавнi ренормгруповi розрахунки вказують, що така фаза мала б сигналiзувати про iснування чотирикритичної точки. 2009 Article Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy / T.-C. Dinh, R. Folk // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 689-696. — Бібліогр.: 15 назв. — англ. 1607-324X PACS: 75.10.Hk, 75.30.Kz, 67.80.bd DOI:10.5488/CMP.12.4.689 http://dspace.nbuv.gov.ua/handle/123456789/120549 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Anisotropic antiferromagnets in an external magnetic field show a rich variety of different ground states
meeting in transition lines and multicritical points. We study the dependence of the ground states of these
systems in the three dimensional space on physical parameters such as exchange, single ion and cubic
anisotropy. One identi es four different ground states: the paramagnetic (PM), the antiferromagnetic (AF), the
spin flop (SF) and the biconical (BC) ground state. In the case of absence of a cubic anisotropy, the transition
lines separating different ground states can be calculated analytically, otherwise they have to be calculated
numerically. We also considered the behavior of the staggered magnetization which characterizes the different
ground states. From its behavior the order of the transition from one state to the other is determined. But also
the order of the transition changes along the transition lines when including the cubic anisotropy, especially
at the reeentrant region where a transition from SF to BC and back to SF by increasing the external field
H occurs. Multicritical points are found which are assumed to be tricritical or critical endpoints. The results
obtained may be relevant for other systems since the antiferromagnetic model can be mapped to a lattice
gas model where the biconical ground state is interpreted as supersolid phase. Recent renormalization group
calculations show that such a phase would indicate the existence of a tetracritical point. |
| format |
Article |
| author |
Dinh, T.-C. Folk, R. |
| spellingShingle |
Dinh, T.-C. Folk, R. Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy Condensed Matter Physics |
| author_facet |
Dinh, T.-C. Folk, R. |
| author_sort |
Dinh, T.-C. |
| title |
Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy |
| title_short |
Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy |
| title_full |
Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy |
| title_fullStr |
Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy |
| title_full_unstemmed |
Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy |
| title_sort |
ground states of anisotropic antiferromagnets with single ion and cubic anisotropy |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120549 |
| citation_txt |
Ground states of anisotropic antiferromagnets with single ion and cubic anisotropy / T.-C. Dinh, R. Folk // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 689-696. — Бібліогр.: 15 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT dinhtc groundstatesofanisotropicantiferromagnetswithsingleionandcubicanisotropy AT folkr groundstatesofanisotropicantiferromagnetswithsingleionandcubicanisotropy |
| first_indexed |
2023-10-18T20:37:19Z |
| last_indexed |
2023-10-18T20:37:19Z |
| _version_ |
1796150681236668416 |